The Washington State University Catalog

Department of Mathematics and Statistics

The online catalog includes the most recent changes to courses and degree requirements that have been approved by the Faculty Senate, including changes that are not yet effective.

Department of Mathematics and Statistics

math.wsu.edu
Neill 103
509-335-3926

Department Chair and Professor, C. N. Moore; Professors, N. Dasgupta, R. H. Dillon, V. K. Jandhyala, A. Khapalov, B. Krishnamoorthy, H. Li, V. S. Manoranjan, J. McDonald, A. Panchenko, D. B. Slavit, M. Tsatsomeros, H. Yin; Associate Professors, T. Asaki, A. Dimitrov, M. G. Hudelson, S. Liu, F. G. Pascual, L. Schreyer, M. F. Schumaker, E. Schwartz, N. Strigul, K. Vixie, N. Voulgarakis, X. Wang; Assistant Professors, X. Chen, D. DeFord, W. Hall, A. Kaul, L. F. New, Y. Wang; Adjunct Professor, K. D. Cooper; Clinical Professor, S. Lapin; Clinical Associate Professors, H. D. Johnson, K. Vincent; Clinical Assistant Professors, K. Fiedler, C. Kogan, D. Mitchell, D. Reiss, S. Selmi; Senior Instructors, P. Krouss, J. Martin, E. Remaley, L. R. Sotomayor, D. Zhang; Professors Emeriti, J. R. Alldredge, K. A. Ariyawansa, D. C. Barnes, S. Cooper, D. W. DeTemple, M. Evans, A. C. Genz, M. A. Jacroux, R. A. Johnson, M. J. Kallaher, D. C. Kent, L. Knott, J. E. Kucera, C. Long, R. Mifflin, C. B. Millham, S. C. Saunders, D. S. Watkins, W. A. Webb, H. C. Wiser, D. J. Wollkind.

The Department of Mathematics and Statistics provides undergraduate instruction and training in all major fields of mathematics and statistics. The numerous service courses taught by the department reflect the growing importance of mathematics and statistics in an increasing number of other disciplines.

Undergraduate training for mathematics majors is provided at WSU in the following six options: actuarial science, applied mathematics, secondary mathematics teaching with certification, secondary mathematics teaching without certification, theoretical mathematics, and statistics.  The options prepare students for careers related to the respective fields. The mathematics major also prepares students for graduate study in such fields as business, economics, management science and computer science, as well as mathematics and statistics. Talented undergraduate majors in mathematics are given individual and small group instruction outside of class, sometimes resulting in research publications.  A new, interdisciplinary undergraduate degree in data analytics is also available.

We expect that students graduating with a mathematics degree will be able to: 1) use their mathematics and statistics skills within the context of a strong, fundamental general education, 2) use the fundamentals of the life and physical sciences, 3) apply a fundamental knowledge and practical understanding of mathematics and statistics, 4) continue learning in both traditional and non-traditional educational settings, and 5) communicate effectively.

All students who enroll in mathematics courses are responsible for satisfying the prerequisite(s).  With only a few exceptions, WSU undergraduate students are required to take the WSU Math Placement Assessment (MPA) prior to enrolling in their first college-level mathematics course.  See http://www.math.wsu.edu/placement/welcome.php placement for more information.

Graduate study and specialization are offered by the department in both classical and modern areas of mathematics and statistics. A PhD student has four choices: a PhD in Mathematics, PhD in Mathematics-Applied Mathematics option, a PhD in Mathematics with an Education Emphasis, or a PhD in Statistical Science. The first involves doing mathematical research, the Applied Mathematics option focuses on applied mathematical research, the Education Emphasis option involves research on the teaching and learning of mathematics, and the Statistics option involves statistical research. At the masters level the department offers the following degrees: a MS in Mathematics, MS in Mathematics–Applied Mathematics Option, MS in Mathematics-Computational Finance Option, MS Mathematics – Teaching Option, and a MS in Statistics. A graduate certificate in Teaching College Mathematics is also available.

Preparation for Graduate Study

As preparation for work toward an advanced degree in mathematics or statistics, a student should have completed the equivalent of an undergraduate degree in mathematics, statistics, or a related field. Adequate opportunities are provided for removing deficiencies through the taking of appropriate courses. Students who contemplate undertaking studies leading to a doctoral degree should contact the Graduate Coordinator (gradinfo@math.wsu.edu) for advice and assistance in the development of their plans.




Schedules of Studies

Honors students complete the Honors College requirements which replace the UCORE requirements.


Actuarial Science Option (120 Credits)

Mathematics Major Core Requirements

In addition to the UCORE requirements and the College of Arts and Sciences requirements, a mathematics major is required to take 13 core courses and a minimum of 4 additional 300-400-level MATH courses specified by a chosen option. Options include: Actuarial Science, Applied Mathematics, Theoretical Mathematics. Courses required for the major may not be taken pass/fail, and a 2.0 minimum GPA is required.

Admission to the Major Requirements

1. Applications for admission to the major are accepted at any time during fall and spring semesters. Decisions are made within ten working days of receipt of application. Application forms are available in the Mathematics Department office.
2. Applications are evaluated, and admission decided, by a faculty committee.
3. Applicants must have a cumulative GPA of at least 2.0.
4. The mathematics core consists of MATH 171, 172, and 220. These courses (or their equivalent for transfer students) must be completed before application.
5. Students with at least a 2.5 GPA in the mathematics core will be admitted automatically. Those with less than a 2.0 GPA in the mathematics core will normally not be admitted. Others will be considered on a case-by-case basis.
6. Appeals related to admission decisions are considered by the department chairperson.
7. Students who are denied admission may reapply after completing at least 12 more credits, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative GPA and grade patterns; and a personal interview.
8. Admitted students whose cumulative GPA or GPA in MATH courses numbered 171 and above falls below 2.0 for two consecutive semesters, or who are academically deficient, are subject to release from the major.
9. Applications for readmission are handled in the same manner as admission applications for those previously denied.
First Year
First TermCredits
Arts [ARTS]3
Biological Sciences [BSCI] with lab4
ENGLISH 101 [WRTG]3
MATH 171 [QUAN]4
Second TermCredits
CPT S 1214
ECONS 101 [SSCI]3
HISTORY 105 [ROOT]3
MATH 172 or 1824
MATH 220 or 2302 or 3
Second Year
First TermCredits
Humanities [HUM]3
MATH 273 or 2832
MATH 3013
MATH 4053
PHYSICS 201 [PSCI]3
PHYSICS 211 [PSCI]1
Second TermCredits
ECONS 102 [SSCI]3
MATH 3153
STAT 3603
Electives16
Complete Writing Portfolio
Third Year
First TermCredits
MATH 300 [M]3
MATH 4203
STAT 4433
Foreign Language, if needed, and/or Electives16
Second TermCredits
ENGLISH 402 [WRTG] [M]3
STAT 412 or 423 3
STAT 4463
Foreign Language, if needed, and/or Electives16
Fourth Year
First TermCredits
MATH 401 [M]3
MATH 4163
Electives19
Second TermCredits
Diversity [DIVR]3
MATH 464 [CAPS]3
STAT 4473
Electives16
Exit Interview

Footnotes
1Suggested elective courses for students pursuing Actuarial Science Option include ACCTG 230 and 231, FIN 325 and 350, and MATH 448, which provide additional background for actuarial exams. Note: A minor in Business Administration is required to take FIN 325 and 350.

Applied Option (120 Credits)

Mathematics Major Core Requirements

In addition to the UCORE requirements and the College of Arts and Sciences requirements, a mathematics major is required to take 13 core courses and a minimum of 4 additional 300-400-level MATH courses specified by a chosen option. Options include: Actuarial Science, Applied Mathematics, Theoretical Mathematics. Courses required for the major may not be taken pass/fail, and a 2.0 minimum GPA is required.

Admission to the Major Requirements

1. Applications for admission to the major are accepted at any time during fall and spring semesters. Decisions are made within ten working days of receipt of application. Application forms are available in the Mathematics Department office.
2. Applications are evaluated, and admission decided, by a faculty committee.
3. Applicants must have a cumulative GPA of at least 2.0.
4. The mathematics core consists of MATH 171, 172, and 220. These courses (or their equivalent for transfer students) must be completed before application.
5. Students with at least a 2.5 GPA in the mathematics core will be admitted automatically. Those with less than a 2.0 GPA in the mathematics core will normally not be admitted. Others will be considered on a case-by-case basis.
6. Appeals related to admission decisions are considered by the department chairperson.
7. Students who are denied admission may reapply after completing at least 12 more credits, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative GPA and grade patterns; and a personal interview.
8. Admitted students whose cumulative GPA or GPA in MATH courses numbered 171 and above falls below 2.0 for two consecutive semesters, or who are academically deficient, are subject to release from the major.
9. Applications for readmission are handled in the same manner as admission applications for those previously denied.
First Year
First TermCredits
Arts [ARTS]3
Biological Sciences [BSCI] with lab4
ENGLISH 101 [WRTG]3
MATH 171 [QUAN]4
Second TermCredits
CPT S 1214
HISTORY 105 [ROOT]3
MATH 172 or 1824
MATH 220 or 2302 or 3
Social Sciences [SSCI]3
Second Year
First TermCredits
Humanities [HUM]3
MATH 273 or 2832
MATH 3013
PHYSICS 201 [PSCI]3
PHYSICS 211 [PSCI]1
Foreign Language, if needed, or Electives4
Second TermCredits
Arts [ARTS], Humanities [HUM], or Social Sciences [SSCI]3
MATH 3153
MATH 3981
STAT 3603
Foreign Language, if needed, or Electives4
Complete Writing Portfolio
Third Year
First TermCredits
Diversity [DIVR]3
MATH 300 [M]3
MATH 4203
Applied Mathematics Option Course13
Electives3
Second TermCredits
ENGLISH 402 [WRTG] [M]3
MATH 421 [M]3
Applied Mathematics Option Course13
Electives6
Fourth Year
First TermCredits
MATH 401 [M]3
Applied Mathematics Option Course13
Electives9
Second TermCredits
MATH 402 [M]3
MATH 464 [CAPS]3
Applied Mathematics Option Course13
Electives6
Exit Interview

Footnotes
1Applied Mathematics Required Option Courses: a) MATH 364 and two of MATH 325, 416, 448, 453, 456, or 466; or b) CPT S 122, MATH 364, 448, and one of MATH 416, 440, or 466; or c) three of MATH 340, 415, 440, 448, and 486.

Secondary Teaching Option with Certification (124 Credits)

Mathematics Major Core Requirements

Courses required for the major may not be taken pass/fail, and a 2.0 minimum GPA is required.


Admission to the Major Requirements

  1. Applications for admission to the major are accepted at any time during fall and spring semesters. Decisions are made within ten working days of receipt of application. Application forms are available in the Mathematics Department office.
  2. Applications are evaluated, and admission decided, by a faculty committee.
  3. Applicants must have a cumulative GPA of at least 2.0.
  4. The mathematics core consists of MATH 171, 172, and 220. These courses (or their equivalent for transfer students) must be completed before application.
  5. Students with at least a 2.5 GPA in the mathematics core will be admitted automatically. Those with less than a 2.0 GPA in the mathematics core will normally not be admitted. Others will be considered on a case-by-case basis.
  6. Appeals related to admission decisions are considered by the department chairperson.
  7. Students who are denied admission may reapply after completing at least 12 more credits, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative GPA and grade patterns; and a personal interview.
  8. Admitted students whose cumulative GPA or GPA in MATH courses numbered 171 and above falls below 2.0 for two consecutive semesters, or who are academically deficient, are subject to release from the major.
  9. Applications for readmission are handled in the same manner as admission applications for those previously denied.


Teaching and Learning Requirements
Secondary education teacher certification requires a consultation with and advisor from the Department of Teaching and Learning for approval and sequencing of TCH LRN courses.

First Year
First TermCredits
Biological Sciences [BSCI] with lab4
ENGLISH 101 [WRTG]3
Humanities [HUM]3
MATH 171 [QUAN]4
Second TermCredits
HISTORY 105 [ROOT]3
MATH 1724
MATH 2202
PSYCH 105 [SSCI]3
Foreign Language, if necessary0-4
Second Year
First TermCredits
ENGLISH 201 [WRTG] or 301 [WRTG]3
MATH 2163
MATH 2732
PHYSICS 201 [PSCI]3
PHYSICS 211 [PSCI]1
Foreign Language, if necessary0-4
Second TermCredits
Arts [ARTS]3
MATH 301 3
MATH 3153
MATH 3981
TCH LRN 3013
Complete Writing Portfolio
Third TermCredits
(Summer) TCH LRN 3172
Third Year
First TermCredits
Arts [ARTS], Humanities [HUM], or Social Sciences [SSCI]3
MATH 300 [M]3
MATH 3303
MATH 4033
300-400-level MATH Elective3
Second TermCredits
Diversity [DIVR]3
MATH 3203
STAT 360 or 4433
300-400-level MATH Elective3
Fourth Year
First TermCredits
MATH 401 [M]3
MATH 4313
TCH LRN 4643
TCH LRN 4653
TCH LRN 4662
Second TermCredits
ED PSYCH 4683
MATH 432 [CAPS]3
TCH LRN 467 [M]3
TCH LRN 4692
TCH LRN 4703
Fifth Year
First TermCredits
TCH LRN 415 (Student Teaching)16
Exit Interview

Secondary Teaching Option Without Certification (120 Credits)

Mathematics Major Core Requirements

Courses required for the major may not be taken pass/fail, and a 2.0 minimum GPA is required.


Admission to the Major Requirements

  1. Applications for admission to the major are accepted at any time during fall and spring semesters. Decisions are made within ten working days of receipt of application. Application forms are available in the Mathematics Department office.
  2. Applications are evaluated, and admission decided, by a faculty committee.
  3. Applicants must have a cumulative GPA of at least 2.0.
  4. The mathematics core consists of MATH 171, 172, and 220. These courses (or their equivalent for transfer students) must be completed before application.
  5. Students with at least a 2.5 GPA in the mathematics core will be admitted automatically. Those with less than a 2.0 GPA in the mathematics core will normally not be admitted. Others will be considered on a case-by-case basis.
  6. Appeals related to admission decisions are considered by the department chairperson.
  7. Students who are denied admission may reapply after completing at least 12 more credits, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative GPA and grade patterns; and a personal interview.
  8. Admitted students whose cumulative GPA or GPA in MATH courses numbered 171 and above falls below 2.0 for two consecutive semesters, or who are academically deficient, are subject to release from the major.
  9. Applications for readmission are handled in the same manner as admission applications for those previously denied.

First Year
First TermCredits
Biological Sciences [BSCI] with lab4
HISTORY 105 [ROOT]3
Humanities [HUM]3
MATH 171 [QUAN]4
Second TermCredits
Arts [ARTS]3
ENGLISH 101 [WRTG]3
MATH 1724
MATH 220 2
PSYCH 105 [SSCI]3
Second Year
First TermCredits
Arts [ARTS], Humanities [HUM], or Social Sciences [SSCI]3
ENGLISH 201 [WRTG] or 301 [WRTG]3
MATH 2163
MATH 2732
PHYSICS 201 [PSCI]3
PHYSICS 211 [PSCI]1
Second TermCredits
Diversity [DIVR]3
MATH 3013
MATH 3153
MATH 3981
Electives6
Complete Writing Portfolio
Third Year
First TermCredits
MATH 300 [M]3
MATH 330 3
MATH 4033
Foreign Language, if necessary, and/or Electives6
Second TermCredits
MATH 320 [M]3
STAT 360 or 4433
300-400-level MATH Electives13
Foreign Language, if necessary, and/or Electives6
Fourth Year
First TermCredits
MATH 401 [M]3
MATH 4313
Electives9
Second TermCredits
MATH 432 [CAPS]3
300-400-level MATH Electives13
300-400-level Electives3
Electives6
Exit Interview

Footnotes
1MATH Elective courses include any 3-credit 300-400-level MATH courses not required to fulfill a major requirement.

Statistics Option (120 Credits)

Mathematics Major Core Requirements
Courses required for the major may not be taken pass/fail, and a 2.0 minimum GPA is required.

Admission to the Major Requirements

  1. Applications for admission to the major are accepted at any time during fall and spring semesters. Decisions are made within ten working days of receipt of application. Application forms are available in the Mathematics Department office.
  2. Applications are evaluated, and admission decided, by a faculty committee.
  3. Applicants must have a cumulative GPA of at least 2.0.
  4. The mathematics core consists of MATH 171, 172, and 220. These courses (or their equivalent for transfer students) must be completed before application.
  5. Students with at least a 2.5 GPA in the mathematics core will be admitted automatically. Those with less than a 2.0 GPA in the mathematics core will normally not be admitted. Others will be considered on a case-by-case basis.
  6. Appeals related to admission decisions are considered by the department chairperson.
  7. Students who are denied admission may reapply after completing at least 12 more credits, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative GPA and grade patterns; and a personal interview.
  8. Admitted students whose cumulative GPA or GPA in MATH courses numbered 171 and above falls below 2.0 for two consecutive semesters, or who are academically deficient, are subject to release from the major.
  9. Applications for readmission are handled in the same manner as admission applications for those previously denied.

First Year
First TermCredits
Biological Sciences [BSCI] with lab4
ENGLISH 101 [WRTG]3
MATH 171 [QUAN]4
Social Sciences [SSCI]3
Second TermCredits
Arts [ARTS]3
CPT S 1214
HISTORY 105 [ROOT]3
MATH 172 or 1824
MATH 220 or 2302-3
Second Year
First TermCredits
Humanities [HUM]3
MATH 273 or 2832-3
PHYSICS 201 [PSCI]3
PHYSICS 211 [PSCI]1
STAT 3603
Electives3
Second TermCredits
Arts [ARTS], Humanities [HUM], or Social Sciences [SSCI]3
Diversity [DIVR]3
MATH 3013
STAT 412 or 4233
Electives3
Complete Writing Portfolio
Third Year
First TermCredits
MATH 300 [M]3
MATH 4203
STAT 4363
Foreign Language, if needed, and/or Electives6
Second TermCredits
ENGLISH 402 [WRTG], or [COMM] [WRTG]3
STAT 4193
STAT Option Course13
Foreign Language, if needed, and/or Electives6
Fourth Year
First TermCredits
MATH 401 [M]3
MATH 4163
STAT 4433
STAT Option Course13
Electives3
Second TermCredits
MATH 464 [CAPS]3
STAT 4563
STAT Option Course13
Electives6
Exit Interview

Footnotes
1Statistics Option (9 credits) Courses must be selected from STAT 380, 410, 422, 446, 447.

Theoretical Option (120 Credits)

Mathematics Major Core Requirements

In addition to the UCORE requirements and the College of Arts and Sciences requirements, a mathematics major is required to take 13 core courses and a minimum of 4 additional 300-400-level MATH courses specified by a chosen option. Options include: Actuarial Science, Applied Mathematics, Theoretical Mathematics. Courses required for the major may not be taken pass/fail, and a 2.0 minimum GPA is required.

Admission to the Major Requirements

1. Applications for admission to the major are accepted at any time during fall and spring semesters. Decisions are made within ten working days of receipt of application. Application forms are available in the Mathematics Department office.
2. Applications are evaluated, and admission decided, by a faculty committee.
3. Applicants must have a cumulative GPA of at least 2.0.
4. The mathematics core consists of MATH 171, 172, and 220. These courses (or their equivalent for transfer students) must be completed before application.
5. Students with at least a 2.5 GPA in the mathematics core will be admitted automatically. Those with less than a 2.0 GPA in the mathematics core will normally not be admitted. Others will be considered on a case-by-case basis.
6. Appeals related to admission decisions are considered by the department chairperson.
7. Students who are denied admission may reapply after completing at least 12 more credits, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative GPA and grade patterns; and a personal interview.
8. Admitted students whose cumulative GPA or GPA in MATH courses numbered 171 and above falls below 2.0 for two consecutive semesters, or who are academically deficient, are subject to release from the major.
9. Applications for readmission are handled in the same manner as admission applications for those previously denied.
First Year
First TermCredits
Arts [ARTS]3
Biological Sciences [BSCI] with lab4
ENGLISH 101 [WRTG]3
MATH 171 [QUAN]4
Second TermCredits
CPT S 1214
HISTORY 105 [ROOT]3
MATH 172 or 1824
MATH 220 or 2302 or 3
Social Sciences [SSCI]3
Second Year
First TermCredits
Foreign Language, if needed, or Electives4
Humanities [HUM]3
MATH 273 or 2832
MATH 3013
PHYSICS 201 [PSCI]3
PHYSICS 211 [PSCI]1
Second TermCredits
Arts [ARTS], Humanities [HUM], or Social Sciences [SSCI]3
MATH 3153
MATH 3981
STAT 3603
Foreign Language, if needed, or Electives4
Complete Writing Portfolio
Third Year
First TermCredits
Diversity [DIVR]3
MATH 300 [M]3
MATH 4203
Theoretical Mathematics Option Course13
Electives3
Second TermCredits
ENGLISH 402 [WRTG] [M]3
MATH 421 [M]3
Theoretical Mathematics Option Course13
Electives6
Fourth Year
First TermCredits
MATH 401 [M]3
Theoretical Mathematics Option Course13
Electives9
Second TermCredits
MATH 402 [M]3
MATH 464 [CAPS]3
Electives9
Exit Interview

Footnotes
1Theoretical Mathematics Required Option Courses: Three courses from MATH 302, 325, 403, 415, 441, or 453.


Minors

Mathematics

A mathematics minor requires a minimum of 19 hours including MATH 171, 172, and one of 220 or 273.  An additional 9 hours from a combination of 300-400-level mathematics credits or STAT 360, 370, 423, 443, 446, and 447 must be taken in residence at WSU or through WSU-approved education abroad or educational exchange courses.  Courses required for the minor may not be taken pass/fail and a minimum 2.0 GPA is required in all courses taken for the minor.  MATH 303, 330, 351, 398, 425, and 431 do not count toward the minor.


Statistics

The minor in statistics requires a minimum of 18 credit hours. 9 hours of upper-division work must be 300-400-level and be taken in residence at WSU or through WSU-approved education abroad or educational exchange courses. Courses required for the minor may not be taken pass/fail and a minimum 2.0 GPA is required in all courses. Required courses include STAT 360 or 370, STAT 412, 423 or 430; STAT 443, and 9 additional hours selected from STAT 410, 419, 422 (UIdaho), 428 (UIdaho), 436, 446, 447, and 456. Students majoring in mathematics under the Actuarial Sciences Option must take STAT 456.



Certificates

Certificate in Quantitative Biology

The certificate in Quantitative Biology requires 17 credits. Students must earn a grade of C or higher in each course and no P, F or  S, F graded course work may be applied to the certificate.

Requirements:

  • MATH/BIOLOGY 340
  • 6 credits of mathematics (MATH 172 or higher) and/or statistics (300-400-level), of which 3 credits must be taken in residence at Washington State University
  • 8 credits of 300-400-level BIOLOGY courses of which 3 credits must be taken in residence at Washington State University


Courses

The online catalog includes the most recent changes to courses and degree requirements that have been approved by the Faculty Senate, including changes that are not yet effective. Courses showing two entries of the same number indicate that the course information is changing. The most recently approved version is shown first, followed by the older version, in gray, with its last-effective term preceding the course title. Courses shown in gray with only one entry of the course number are being discontinued. Course offerings by term can be accessed by clicking on the term links when viewing a specific campus catalog.


Mathematics (MATH)

Fall 2021 Spring 2022 


100 Basic Mathematics 2 Course Prerequisite: A minimum ALEKS math placement score of 1%. Review of basic arithmetic and elementary algebra. No credit earned toward degree. Typically offered Fall and Spring. S, F grading.

101 Intermediate Algebra 3 Fundamental algebraic operations and concepts. No credit earned toward degree.

103 Algebra Methods and Introduction to Functions 3 Course Prerequisite: MATH 100 with an S, MATH 101 with a C or better, or a minimum ALEKS math placement score of 40%. Fundamental algebraic operations and concepts, linear systems and inequalities, polynomial and rational functions, introduction to exponential and logarithmic functions. Typically offered Fall, Spring, and Summer.

105 [QUAN] Exploring Mathematics 3 Course Prerequisite: MATH 101, 103, or 251, each with a C or better, or STAT 212 with a C or better, or a minimum ALEKS math placement score of 45%. Nature and scope of modern mathematics, and its relationships to other disciplines. Typically offered Fall, Spring, and Summer.

106 College Algebra 3 Course Prerequisite: MATH 101 with a C or better, or MATH 103 with a C or better, or a minimum ALEKS math placement score of 70%. Graphs, properties and applications of polynomial, rational, exponential and logarithmic functions. Typically offered Fall, Spring, and Summer.

108 Trigonometry 2 Course Prerequisite: MATH 106 with a C or better. Graphs, properties and applications of trigonometric functions. Typically offered Fall, Spring, and Summer.

108 (Effective through Summer 2021) Trigonometry 2 Course Prerequisite: MATH 106 with a C or better. Graphs, properties and applications of trigonometric functions. Credit not normally granted for both MATH 108 and 107. Typically offered Fall, Spring, and Summer.

110 Mathematics Acceleration 1 (0-3) Course Prerequisite: A minimum ALEKS math placement score of 25%. Individualized instruction on mathematical skills to enhance the mathematical background necessary for success in one of MATH 103, 106, or 171. Typically offered Fall and Spring. S, F grading.

111 Mathematics Tutorial for MATH 201 1 Course Prerequisite: Concurrent enrollment MATH 107. Student-centered group tutorial focusing on skill improvement for success in MATH 201. Typically offered Fall and Spring. S, F grading.

115 Math 105 Tutorial 2 Tutorial for MATH 105 focusing on concept development and mastery; skill proficiency. Typically offered Fall and Spring. S, F grading.

116 Math 106 Tutorial 2 Tutorial for MATH 106 focusing on concept development and mastery; skill proficiency. Typically offered Fall and Spring. S, F grading.

140 [QUAN] Calculus for Life Scientists 4 (3-3) Course Prerequisite: MATH 106 with a C or better and MATH 108 with a C or better, or a minimum ALEKS math placement score of 80%. Enrollment not allowed if credit already earned for MATH 171 or 202 except by department consent. Differential and integral calculus with emphasis on life science applications. By department consent, credit may be allowed for two of MATH 140, 171, or 202. Typically offered Fall and Spring.

140 (Effective through Spring 2021) [QUAN] Calculus for Life Scientists 4 (3-3) Course Prerequisite: MATH 106 with a C or better and MATH 108 with a C or better, or a minimum ALEKS math placement score of 80%. Enrollment not allowed if credit already earned for MATH 171 or 202 except by department consent. Differential and integral calculus with emphasis on life science applications. By department consent, credit may be allowed for two of MATH 140, 171, or 202. Typically offered Fall and Spring.

171 [QUAN] Calculus I 4 (3-3) Course Prerequisite: MATH 106 with a C or better and MATH 108 with a C or better, or a minimum ALEKS math placement score of 83%. Enrollment not allowed if credit already earned for MATH 140 or 202 except by department consent. Differential and integral calculus of one variable with associated analytic geometry. By department consent, credit may be allowed for two of MATH 140, 171, or 202. Typically offered Fall, Spring, and Summer.

171 (Effective through Spring 2021) [QUAN] Calculus I 4 (3-3) Course Prerequisite: MATH 106 with a C or better and MATH 108 with a C or better, or a minimum ALEKS math placement score of 83%. Enrollment not allowed if credit already earned for MATH 140 or 202 except by department consent. Differential and integral calculus of one variable with associated analytic geometry. By department consent, credit may be allowed for two of MATH 140, 171, or 202. Typically offered Fall, Spring, and Summer.

172 Calculus II 4 (3-3) Course Prerequisite: MATH 171 with a C or better. Techniques and applications of one-variable calculus; estimations; series, derivative of a vector function. Credit not granted for both MATH 172 and 182. Typically offered Fall, Spring, and Summer.

182 Honors Calculus II 4 (3-3) Course Prerequisite: MATH 171 with a C or better; by department permission only. Single variable calculus, series, with emphasis on conceptual development and problem solving. Credit not granted for both MATH 172 and 182. Typically offered Fall.

201 Mathematics for Business and Economics 3 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or a minimum ALEKS math placement score of 65%. Mathematical analysis using polynomial, exponential, and logarithmic functions; linear systems, linear programming and mathematics of finance, for business/economic applications and modeling. Typically offered Fall, Spring, and Summer.

202 [QUAN] Calculus for Business and Economics 3 Course Prerequisite: MATH 106 with a C or better, MATH 201 with a C or better, or a minimum ALEKS math placement score of 80%. Enrollment not allowed if credit already earned for MATH 140 or 171 except by department consent. Differential calculus of the polynomial, exponential, and logarithmic functions; focus on unconstrained and constrained optimization, single and partial differentiation. By department consent, credit may be allowed for two of MATH 140, 171, or 202. Typically offered Fall, Spring, and Summer.

202 (Effective through Spring 2021) [QUAN] Calculus for Business and Economics 3 Course Prerequisite: MATH 106 with a C or better, MATH 201 with a C or better, or a minimum ALEKS math placement score of 80%. Enrollment not allowed if credit already earned for MATH 140 or 171 except by department consent. Differential calculus of the polynomial, exponential, and logarithmic functions; focus on unconstrained and constrained optimization, single and partial differentiation. By department consent, credit may be allowed for two of MATH 140, 171, or 202. Typically offered Fall, Spring, and Summer.

216 Discrete Structures 3 Course Prerequisite: MATH 108 with a C or better, or MATH 140, 171, 172, 182, or MATH 202 or concurrent enrollment. Discrete mathematics, trees, graphs, elementary logic, and combinatorics with application to computer science. Recommended preparation: Programming course. Typically offered Fall, Spring, and Summer.

220 Introductory Linear Algebra 2 Course Prerequisite: MATH 171 or concurrent enrollment. Enrollment not allowed if credit already earned for MATH 225 or 230. Solving linear systems, matrices, determinants, subspaces, eigenvalues, orthogonality. Credit not granted for more than one of MATH 220, 225, and 230. Typically offered Fall, Spring, and Summer.

225 Linear Algebra with Modern Applications 3 Course Prerequisite: MATH 106 or higher. Enrollment not allowed if credit already earned for MATH 220 or 230. Solving linear systems, matrices, determinants, subspaces, eigenvalues, orthogonality, machine learning, AI, computer graphics, and economic models. Credit not granted for more than one of MATH 220, 225, and 230. Typically offered Fall and Spring.

230 Honors Introductory Linear Algebra 3 Course Prerequisite: MATH 171 or concurrent enrollment. Enrollment not allowed if credit already earned for MATH 220 or 225. An introduction to linear algebra with an emphasis on conceptual development. Credit not granted for more than one of MATH 220, 225, and 230. Typically offered Spring.

251 Fundamentals of Elementary Mathematics I 3 (2-2) Course Prerequisite: MATH 101, 103, 105, 106, or 201, each with a C or better, or STAT 212 with a C or better, or a minimum ALEKS math placement score of 45%. Comprehensive development of number systems emphasizing place-value, integers, rational numbers, and associated algorithms; methods of problem solving. Typically offered Fall and Spring.

251 (Effective through Summer 2021) Fundamentals of Elementary Mathematics I 3 (2-2) Course Prerequisite: MATH 101, 103, 105, or 106, each with a C or better, or STAT 212 with a C or better, or a minimum ALEKS math placement score of 45%. Comprehensive development of number systems emphasizing place-value, integers, rational numbers, and associated algorithms; methods of problem solving. Typically offered Fall and Spring.

252 [QUAN] Fundamentals of Elementary Mathematics II 3 (2-2) Course Prerequisite: MATH 251 with a C or better. Inquiry-based approach to fundamental concepts: measurement, geometrical constructions, similarity, congruence, symmetry, probability, counting principles, measures of central tendency, and distributions. Required preparation: One year of high school geometry. Typically offered Fall and Spring.

273 Calculus III 2 Course Prerequisite: MATH 172 with a C or better, or MATH 182 with a C or better. Calculus of functions of several variables. Credit not granted for both MATH 273 and 283. Typically offered Fall, Spring, and Summer.

283 Honors Calculus III 2 Course Prerequisite: MATH 182 or by department permission. Multivariable calculus with emphasis on conceptual development and problem solving. Credit not granted for both MATH 273 and 283. Typically offered Spring.

300 Mathematical Computing 3 Course Prerequisite: MATH 220, 225, or 230; admitted to the major in Mathematics. Examination of some current computer software for solving mathematical problems. Recommended preparation: MATH 315. Typically offered Fall and Summer.

300 (Effective through Summer 2021) Mathematical Computing 3 Course Prerequisite: MATH 220 or MATH 230. Examination of some current computer software for solving mathematical problems. Recommended preparation: MATH 315. Typically offered Fall and Summer.

301 Introduction to Mathematical Reasoning 3 Course Prerequisite: MATH 220, 225, or 230, each with a C or better. Mathematical arguments and the writing of proofs. Typically offered Fall, Spring, and Summer.

301 (Effective through Summer 2021) Introduction to Mathematical Reasoning 3 Course Prerequisite: MATH 220 with a C or better, or MATH 230 with a C or better. Mathematical arguments and the writing of proofs. Typically offered Fall, Spring, and Summer.

302 Theory of Numbers 3 Course Prerequisite: MATH 172 with a C or better, or MATH 182 with a C or better; MATH 301 with a C or better. Divisibility properties of integers; congruences; Diophantine equations; quadratic residues. Typically offered Odd Years - Spring.

303 [M] Geometry for the Middle School Teacher 3 Course Prerequisite: MATH 252. Topics in 2D and 3D geometry including technology-based reasoning and exploration, deductive arguments, transformational and proportional reasoning, and non-Euclidean geometries. Typically offered Fall.

315 Differential Equations 3 Course Prerequisite: MATH 273 or 283, each with a C or better; and MATH 220, 225, or 230, each with a C or better, or concurrent enrollment. Linear differential equations and systems; series, numerical and qualitative approaches; applications. Typically offered Fall, Spring, and Summer.

315 (Effective through Summer 2021) Differential Equations 3 Course Prerequisite: MATH 273 with a C or better or Math 283 with a C or better; and MATH 220 with a C or better or concurrent enrollment, or MATH 230 with a C or better or concurrent enrollment. Linear differential equations and systems; series, numerical and qualitative approaches; applications. Typically offered Fall, Spring, and Summer.

320 [M] Elementary Modern Algebra 3 Course Prerequisite: MATH 220, 225, or 230, each with a C or better; MATH 301. Algebra as a deductive system; number systems; groups, rings, and fields. Typically offered Spring.

320 (Effective through Summer 2021) [M] Elementary Modern Algebra 3 Course Prerequisite: MATH 220 with a C or better or MATH 230 with a C or better. Algebra as a deductive system; number systems; groups, rings, and fields. Typically offered Spring.

325 Elementary Combinatorics 3 Course Prerequisite: MATH 220, 225, or 230, each with a C or better. Introduction to combinatorial theory: counting methods, binomial coefficients and identities, generating functions, occurrence relations, inclusion-exclusion methods. Typically offered Fall.

325 (Effective through Summer 2021) Elementary Combinatorics 3 Course Prerequisite: MATH 220 with a C or better or MATH 230 with a C or better. Introduction to combinatorial theory: counting methods, binomial coefficients and identities, generating functions, occurrence relations, inclusion-exclusion methods. Typically offered Fall.

330 Methods of Teaching Secondary School Mathematics 3 Course Prerequisite: MATH 301 or concurrent enrollment. New curricula and pedagogical techniques for secondary school mathematics. Typically offered Fall.

340 Introduction to Mathematical Biology 3 Course Prerequisite: MATH 140 with a C or better, or MATH 172 with a C or better, or MATH 182 with a C or better; BIOLOGY 101, BIOLOGY 102, BIOLOGY 106, or BIOLOGY 107. Mathematical biology and development of mathematical modeling for solutions to problems in the life sciences. (Crosslisted course offered as MATH 340, BIOLOGY 340). Typically offered Spring.

351 Algebraic Thinking for the Middle School Teacher 3 Course Prerequisite: MATH 252 with a C or better. Algebraic reasoning, classes of functions, translation among models, analytical rule, tables of data, context and coordinate graphs. Typically offered Spring.

352 Probability and Data Analysis for Middle School Teachers 3 Course Prerequisite: MATH 251 and 252; or STAT 360. Probability and statistics in relation to middle school mathematics and real world problems through visualization, hands-on activities, and technology. Typically offered Spring.

352 (Effective through Fall 2021) Probability and Data Analysis for Middle School Teachers 3 Course Prerequisite: MATH 251; MATH 252. Probability and statistics in relation to middle school mathematics and real world problems through visualization, hands-on activities, and technology. Typically offered Spring.

364 Principles of Optimization 3 Course Prerequisite: MATH 202, 220, 225, or 230. Algebra of linear inequalities; duality; graphs, transport networks; linear programming; special algorithms; nonlinear programming; selected applications. Typically offered Fall and Spring.

364 (Effective through Summer 2021) Principles of Optimization 3 Course Prerequisite: MATH 202, MATH 220, or MATH 230. Algebra of linear inequalities; duality; graphs, transport networks; linear programming; special algorithms; nonlinear programming; selected applications. Typically offered Fall and Spring.

375 Vector Analysis 3 Course Prerequisite: MATH 315. Line integrals, gradient, curl, divergence; Stokes' theorem, potential functions. Typically offered Fall and Spring.

398 Mathematical Snapshots 1 Course Prerequisite: MATH 172 or MATH 182. Character, life work, and historical importance of mathematicians from various eras and branches of mathematics. Typically offered Spring.

401 [M] Introduction to Analysis I 3 Course Prerequisite: MATH 301 with a C or better. Properties of sets and sequences of real numbers; limits, continuity, differentiation and integration of functions; metric spaces. Typically offered Fall.

402 [M] Introduction to Analysis II 3 Course Prerequisite: MATH 401. Sequences of functions, power series, multivariable calculus, inverse and implicit function theorems, Lagrange multipliers, change of variable in multiple integrations. Typically offered Spring.

403 Euclidean and Non-Euclidean Geometry 3 Course Prerequisite: MATH 301 with a C or better. Geometry as a deductive system of logic; postulational systems; projective and non-Euclidian geometries. Typically offered Odd Years - Fall.

405 Introduction to Financial Mathematics 3 Course Prerequisite: MATH 172 or 182. Introduction to financial mathematics including the basics of annuities, stocks, bonds, and financial derivatives. Typically offered Fall.

415 Intermediate Differential Equations 3 Course Prerequisite: MATH 315. Linear systems; qualitative theory (existence, uniqueness, stability, periodicity); boundary value problems; applications. Typically offered Spring.

416 Numerical Simulations for Probabilistic Models 3 Course Prerequisite: STAT 360; CPT S 121, CPT S 251, or MATH 300. Efficient generation of random variables; statistical analysis and validation techniques; variance reduction; Markov Chain Monte Carlo methods; applications include complex systems, financial models, and Bayesian computation. Credit not granted for both MATH 416 and MATH 516. Required preparation must include probability and statistics and programming experience. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

420 Linear Algebra 3 Course Prerequisite: MATH 220, 225, or 230, each with a C or better; MATH 301 with a C or better. Vector spaces, linear transformations, diagonalizability, normal matrices, inner product spaces, orthogonality, orthogonal projections, least-squares, SVD. Typically offered Fall.

420 (Effective through Summer 2021) Linear Algebra 3 Course Prerequisite: MATH 220 with a C or better, or MATH 230 with a C or better; MATH 301 with a C or better. Vector spaces, linear transformations, diagonalizability, normal matrices, inner product spaces, orthogonality, orthogonal projections, least-squares, SVD. Typically offered Fall.

421 [M] Algebraic Structures 3 Course Prerequisite: MATH 301 with a C or better. Properties of algebraic structures and their homomorphisms, semi-groups, groups, rings, unique factorization domains, fields. Typically offered Spring.

425 Conceptual Aspects of Mathematics 3 Course Prerequisite: By instructor permission. Exploration of conceptual models for thinking about mathematical ideas; activities and discussions of mathematical thinking and instruction. (Crosslisted course offered as TCH LRN 425, MATH 425).

431 Intersections of Culture and Mathematics 3 Course Prerequisite: MATH 301 with a C or better. Gender/race/ethnicity differences; social consequences; cultural influences on development and learning of mathematics; role of women, people of color in mathematics. Credit not granted for both MATH 431 and 531. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

432 [CAPS] Mathematics for College and Secondary Teachers 3 Course Prerequisite: MATH 301 with a C or better. Pre-algebra, algebra functions and geometry examined from an advanced perspective, for secondary and lower level college teachers. Typically offered Spring.

440 Applied Mathematics I: PDEs 3 Course Prerequisite: MATH 315. Applied partial differential equations; Fourier series; Bessel functions and Legendre polynomials as harmonics for disks and balls; Laplace, heat, and wave equations; separation of variables and D'Alambert's formula. Credit not granted for both MATH 440 and MATH 540. Required preparation must include differential equations. Offered at 400 and 500 level. Typically offered Fall, Spring, and Summer. Cooperative: Open to UI degree-seeking students.

441 Applied Mathematics II: Complex Variables 3 Course Prerequisite: MATH 315. Complex numbers and complex-valued functions of one complex variable; analytic functions and Cauchy-Riemann equations; differentiation and contour integration; Cauchy integral theorem; Taylor and Laurent series; residues; conformal mapping; applications to potential theory. Credit not granted for both MATH 441 and MATH 541. Required preparation must include differential equations. Offered at 400 and 500 level. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

448 Numerical Analysis 3 Course Prerequisite: MATH 315 with a C or better; one of CPT S 121, 131, or MATH 300, with a C or better. Fundamentals of numerical computation; finding zeroes of functions, approximation and interpolation; numerical integration (quadrature); numerical solution of ordinary differential equations. (Crosslisted course offered as MATH 448, MATH 548, CPT S 430, CPT S 530). Required preparation must include differential equations and a programming course. Offered at 400 and 500 level. Typically offered Fall and Spring.

453 Graph Theory 3 Course Prerequisite: MATH 220, 225, or 230. Graphs and their applications, directed graphs, trees, networks, Eulerian and Hamiltonian paths, matrix representations, construction of algorithms. (Crosslisted course offered as MATH 453, MATH 553, CPT S 453, CPT S 553). Required preparation must include linear algebra. Recommended preparation: MATH 301. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

453 (Effective through Summer 2021) Graph Theory 3 Course Prerequisite: MATH 220 or MATH 230. Graphs and their applications, directed graphs, trees, networks, Eulerian and Hamiltonian paths, matrix representations, construction of algorithms. (Crosslisted course offered as MATH 453, MATH 553, CPT S 453, CPT S 553). Required preparation must include linear algebra. Recommended preparation: MATH 301. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

456 Introduction to Statistical Theory 3 Course Prerequisite: STAT 430 or 443. Sampling distributions; hypothesis testing and estimation; maximum likelihood; likelihood ratio tests; theory of least squares; nonparametrics. (Crosslisted course offered as STAT 456, MATH 456). Credit not granted for more than one of STAT/MATH 456 or STAT 556. Recommended preparation: One 3-credit 400-level STAT or probability course. Offered at 400 and 500 level. Typically offered Spring.

464 [CAPS] Linear Optimization 3 Course Prerequisite: MATH 273 or MATH 283. Linear and integer programming; optimization problems; applications to economic and military strategies; rectangular games; minimax theory. Recommended preparation: MATH 301. Typically offered Spring.

466 Optimization in Networks 3 Course Prerequisite: MATH 364. Formulation and solution of network optimization problems including shortest path, maximal flow, minimum cost flow, assignment, covering, postman, and salesman. Credit not granted for both MATH 466 and MATH 566. Required preparation must include linear programming. Offered at 400 and 500 level. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

486 Mathematical Methods in Natural Sciences 3 Course Prerequisite: MATH 315. Introduction to mathematical modeling of natural processes; methods include dimensional and scaling analysis, perturbation theory, field theory of continuum mechanics, calculus of variations, and Markov chains; applications to physics, chemistry, biology, and engineering. Credit not granted for both MATH 486 and MATH 586. Required preparation must include differential equations. Offered at 400 and 500 level. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

490 Topics in Mathematics V 1-3 May be repeated for credit; cumulative maximum 9 hours. Course Prerequisite: By instructor permission. Special topics in mathematics. Typically offered Fall, Spring, and Summer.

494 Seminar in Mathematical Biology 1 May be repeated for credit; cumulative maximum 4 hours. Course Prerequisite: MATH 140 with a C or better, or MATH 172 with a C or better, or MATH 182 with a C or better; BIOLOGY 101, BIOLOGY 102, BIOLOGY 106, or BIOLOGY 107. Oral presentation of research approaches, research results and literature review of mathematical biology including mathematical modeling of biological systems. (Crosslisted course offered as MATH 494, BIOLOGY 494). Typically offered Spring. Cooperative: Open to UI degree-seeking students. S, F grading.

497 Instructional Practicum V 1-2 May be repeated for credit; cumulative maximum 2 hours. Course Prerequisite: By instructor permission. Typically offered Fall and Spring. S, F grading.

499 Special Problems V 1-4 May be repeated for credit. Independent study conducted under the jurisdiction of an approving faculty member; may include independent research studies in technical or specialized problems; selection and analysis of specified readings; development of a creative project; or field experiences. Typically offered Fall, Spring, and Summer. S, F grading.

500 Proseminar 1 May be repeated for credit; cumulative maximum 2 hours. Typically offered Fall. S, F grading.

501 Real Analysis 3 Metric spaces, convergence, continuous functions, infinite series, differentiation and integration of functions of one and several variables. Required preparation must include advanced calculus or real analysis. Typically offered Fall.

502 Introduction to Functional Analysis 3 Course Prerequisite: MATH 501. Normed linear spaces, Banach spaces, introduction to Hilbert space, linear operators. Required preparation: Advanced linear algebra. Typically offered Spring.

503 Complex Analysis 3 Course Prerequisite: MATH 501. Analytic functions, complex integration, Taylor and Laurent series, conformal mapping, Riemann surfaces and analytic continuation. Cooperative: Open to UI degree-seeking students.

504 Measure and Integration 3 Course Prerequisite: MATH 501. Lebesque measure, Lebesque integration, differentiation, L spaces, general measure and integration, Radon-Nikodym Theorem, outer measure and product measures. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

505 Abstract Algebra 3 Groups, rings, fields, and homological algebra. Required preparation must include abstract algebra. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

507 Advanced Theory of Numbers 3 May be repeated for credit; cumulative maximum 6 hours. Analytic and algebraic number theory. Typically offered Spring. Cooperative: Open to UI degree-seeking students.

508 Advanced Mathematical Methods for Physics and Engineering 3 Advanced treatment of applications using techniques from fundamental analysis, convexity, analytic function theory, asymptotics, and differential equations. Typically offered Spring. Cooperative: Open to UI degree-seeking students.

511 Advanced Linear Algebra 3 Spectral theory, Schur's theorem, normality, Jordan canonical forms, hermitian matrices, variational inequalities, matrix norms, eigenvalue localization, matrix perturbation theory. Required preparation must include second level undergraduate linear algebra. Typically offered Spring. Cooperative: Open to UI degree-seeking students.

512 Ordinary Differential Equations 3 Existence of solutions; linear systems; qualitative behavior, especially stability; periodic solutions. Required preparation must include a year-long sequence in advanced calculus or real analysis. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

516 Numerical Simulations for Probabilistic Models 3 Efficient generation of random variables; statistical analysis and validation techniques; variance reduction; Markov Chain Monte Carlo methods; applications include complex systems, financial models, and Bayesian computation. Credit not granted for both MATH 416 and MATH 516. Required preparation must include probability and statistics and programming experience. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

524 Algebraic Topology 3 Algebraic techniques (groups, homomorphisms, etc) to study connectivity of spaces; topics include simplicial complexes, homology, relative homology, Meyer-Vietoris sequences, categories and functors, cohomology, and duality in manifolds. Recommended preparation: real analysis and abstract algebra. Typically offered Fall.

525 General Topology 3 Sets, metric spaces, topological spaces; continuous mappings, compactness, connectedness, local properties, function spaces, and fundamental groups. Required preparation must include a year-long sequence in advanced calculus or real analysis. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

529 Computational Topology 3 Topological techniques combined with algorithms to find structure in data; simplicial complexes from point clouds, algorithms for homology and persistent homology, mapper and topological data analysis, optimal homology problems. Recommended preparation: mathematical maturity at senior undergraduate level and some experience with computer programming. Typically offered Spring.

531 Intersections of Culture and Mathematics 3 Gender/race/ethnicity differences; social consequences; cultural influences on development and learning of mathematics; role of women, people of color in mathematics. Credit not granted for both MATH 431 and 531. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

532 Advanced Mathematical Thinking 3 Course Prerequisite: Graduate standing in mathematics. Current theories about how humans learn to think mathematically at the advanced level. Typically offered Even Years - Spring. Cooperative: Open to UI degree-seeking students.

533 Teaching College Mathematics 1 May be repeated for credit; cumulative maximum 3 hours. Course Prerequisite: Graduate standing in Mathematics or Statistical Science. Theory and practice of mathematics instruction at the collegiate level. Typically offered Fall and Spring.

534 Theories of Learning in Mathematics 3 Math learning theories, including behaviorism, information processing, constructivism, situated cognition, communities of practice; influence on teaching and learning mathematics. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

535 Research Paradigms in Mathematics Education 3 Course Prerequisite: MATH 534. Current research paradigms in math education research; critique research designs used in current mathematics education research article; design and carry out a research project. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

536 Statistical Computing 3 (2-3) Course Prerequisite: STAT 556. Generation of random variables, Monte Carlo simulation, bootstrap and jackknife methods, EM algorithm, Markov chain Monte Carlo methods. (Crosslisted course offered as STAT 536, MATH 536). Recommended preparation: One 3-credit 400-level probability or STAT course. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

540 Applied Mathematics I: PDEs 3 Applied partial differential equations; Fourier series; Bessel functions and Legendre polynomials as harmonics for disks and balls; Laplace, heat, and wave equations; separation of variables and D'Alambert's formula. Credit not granted for both MATH 440 and MATH 540. Required preparation must include differential equations. Offered at 400 and 500 level. Typically offered Fall, Spring, and Summer. Cooperative: Open to UI degree-seeking students.

541 Applied Mathematics II: Complex Variables 3 Complex numbers and complex-valued functions of one complex variable; analytic functions and Cauchy-Riemann equations; differentiation and contour integration; Cauchy integral theorem; Taylor and Laurent series; residues; conformal mapping; applications to potential theory. Credit not granted for both MATH 441 and MATH 541. Required preparation must include differential equations. Offered at 400 and 500 level. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

543 Stable Numerical Methods Using Orthogonality 3 Computational methods for stabilizing difficult and ill-posed differential and integral equations problems by using systems of functions and regularization techniques; applications to forward and inverse problems; techniques include the use of wavelets and orthogonal polynomials. Required preparation must include numerical analysis. Typically offered Spring. Cooperative: Open to UI degree-seeking students.

544 Advanced Matrix Computations 3 Advanced topics in the solution of linear systems, singular value decomposition, and computation of eigenvalues and eigenvectors (Francis's algorithm). (Crosslisted course offered as MATH 544, CPT S 531). Required preparation must include numerical analysis. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

545 Numerical Analysis of Parabolic and Hyperbolic PDEs 3 Numerical solutions of parabolic and hyperbolic partial differential equations with emphasis on finite difference methods; topics include: finite difference; stability, consistency, and convergence; shocks; conservation of forms. Required preparation must include numerical analysis. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

546 Numerical Analysis of Elliptic PDEs 3 Numerical solutions of elliptic partial differential equations with emphasis on finite element methods; finite difference; error analysis. Required preparation must include numerical analysis. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

548 Numerical Analysis 3 Fundamentals of numerical computation; finding zeroes of functions, approximation and interpolation; numerical integration (quadrature); numerical solution of ordinary differential equations. (Crosslisted course offered as MATH 448, MATH 548, CPT S 430, CPT S 530). Required preparation must include differential equations and a programming course. Offered at 400 and 500 level. Typically offered Fall and Spring.

553 Graph Theory 3 Graphs and their applications, directed graphs, trees, networks, Eulerian and Hamiltonian paths, matrix representations, construction of algorithms. (Crosslisted course offered as MATH 453, MATH 553, CPT S 453, CPT S 553). Required preparation must include linear algebra. Recommended preparation: MATH 301. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

553 (Effective through Summer 2021) Graph Theory 3 Graphs and their applications, directed graphs, trees, networks, Eulerian and Hamiltonian paths, matrix representations, construction of algorithms. (Crosslisted course offered as MATH 453, MATH 553, CPT S 453, CPT S 553). Required preparation must include linear algebra. Recommended preparation: MATH 301. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

555 Topics in Combinatorics 3 May be repeated for credit; cumulative maximum 6 hours. Combinatorics, generating functions, recurrence relations, inclusion-exclusion, coding theory; experimental design, graph theory. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

560 Partial Differential Equations I 3 Partial differential equations and other functional equations: general theory, methods of solution, applications. Required preparation must include a year-long sequence in advanced calculus or real analysis. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

561 Partial Differential Equations II 3 Course Prerequisite: MATH 560. Continuation of MATH 560. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

563 Mathematical Genetics 3 Mathematical approaches to population genetics and genome analysis; theories and statistical analyses of genetic parameters. (Crosslisted course offered as MATH 563, BIOLOGY 566). Required preparation must include multivariate calculus, genetics, and statistics. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

564 Convex and Nonlinear Optimization 3 Convex sets and functions; operations preserving convexity; linear, quadratic, and conic optimization; duality theory; unconstrained smooth optimization; interior point methods. Required preparation must include advanced multivariate calculus, and a programming language. Recommended preparation: Knowledge in linear optimization and numerical linear algebra. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

565 Nonsmooth Analysis and Optimization with Applications 3 Course Prerequisite: MATH 564. Extended real-valued functions; continuity and convexity; subgradient, conjugate functions and optimality condition; alternating minimization; projected subgradient methods; alternating direction methods of multipliers; applications in statistical learning. Required preparation must include real analysis and command of a programming language. Typically offered Even Years - Spring. Cooperative: Open to UI degree-seeking students.

566 Optimization in Networks 3 Formulation and solution of network optimization problems including shortest path, maximal flow, minimum cost flow, assignment, covering, postman, and salesman. Credit not granted for both MATH 466 and MATH 566. Required preparation must include linear programming. Offered at 400 and 500 level. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

567 Integer and Combinatorial Optimization 3 Theory and applications of integer and combinatorial optimization including enumerative, cutting plane, basis reduction, relaxation and matching methods. Required preparation must include linear optimization. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

568 Statistical Theory I 3 Probability spaces, combinatorics, multidimensional random variables, characteristic function, special distributions, limit theorems, stochastic processes, order statistics. (Crosslisted course offered as STAT 548, MATH 568). Recommended preparation: Calculus III and one 3-credit 400-level probability course. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

569 Statistical Theory II 3 Course Prerequisite: STAT 548 or MATH 568. Statistical inferences; estimation and testing hypotheses; regression analysis; sequential analysis and nonparametric methods. (Crosslisted course offered as STAT 549, MATH 569). Typically offered Spring. Cooperative: Open to UI degree-seeking students.

570 Continuum Mechanics 3 Unified presentation of principles common to all branches of solid and fluid mechanics; viscous fluids, elasticity, viscoelasticity, and plasticity. (Crosslisted course offered as ME 501, MATH 570.) Cooperative: Open to UI degree-seeking students.

571 Mathematical Foundations of Continuum Mechanics II 3 Course Prerequisite: MATH 570. Continuation of MATH 570. Typically offered Even Years - Spring. Cooperative: Open to UI degree-seeking students.

574 Topics in Optimization 3 May be repeated for credit; cumulative maximum 12 hours. Advanced topics in the theory and computing methodology in optimization with emphasis on real-life algorithmic implementations. Required preparation must include advanced multivariable calculus and a programming language. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

575 Asset Pricing in Financial Engineering 3 Mathematical methods for various models on valuation of stocks and options, with rigorous mathematical analysis on pricing and hedging techniques. Recommended preparation: Advanced calculus and some knowledge on differential equations. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

576 Quantitative Risk Management 3 Fundamental concepts in modern risk theory and mathematical methods in quantitative risk management; coherent risk measures, volatility modeling, multivariate dependence analysis using copulas, risk aggregation and allocation, and extreme value theory. Typically offered Even Years - Spring. Cooperative: Open to UI degree-seeking students.

579 Mathematical Modeling in the Biological and Health Sciences 3 Techniques, theory, and current literature in mathematical modeling in the biological and health sciences, including computational simulation. (Course offered as BIOLOGY 579, MATH 579). Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

581 Topics in Mathematics V 1-3 May be repeated for credit. Topics in mathematics. Typically offered Fall, Spring, and Summer. Cooperative: Open to UI degree-seeking students.

583 Topics in Applied Mathematics V 1-3 May be repeated for credit. Topics in applied mathematics. Typically offered Fall and Spring. Cooperative: Open to UI degree-seeking students.

586 Mathematical Methods in Natural Sciences 3 Introduction to mathematical modeling of natural processes; methods include dimensional and scaling analysis, perturbation theory, field theory of continuum mechanics, calculus of variations, and Markov chains; applications to physics, chemistry, biology, and engineering. Credit not granted for both MATH 486 and MATH 586. Required preparation must include differential equations. Offered at 400 and 500 level. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

587 Topics in Algebra and Linear Algebra V 1-3 May be repeated for credit. Advanced topics in algebra and linear algebra. Recommended preparation: Two semesters of linear algebra and one semester of abstract algebra. Typically offered Fall.

588 Topics in Computational Math V 1-3 May be repeated for credit. Advanced topics in computational mathematics. Recommended preparation: one semester of numerical analysis. Typically offered Spring.

588 (Effective through Summer 2021) Topics in Computational Math V 1-3 May be repeated for credit. Advanced topics in algebra and linear algebra. Recommended preparation: one semester of numerical analysis. Typically offered Spring.

589 Topics in Analysis V 1-3 Advanced topics in mathematical analysis. Recommended preparation: one semester of graduate analysis. Typically offered Spring.

590 Topics in Mathematics Education V 1-3 May be repeated for credit; cumulative maximum 6 hours. Topics in mathematics education. Typically offered Fall and Spring.

591 Seminar in Mathematical Biology 1 May be repeated for credit; cumulative maximum 10 hours. Current research in mathematical biology. Typically offered Fall, Spring, and Summer. S, F grading.

592 Seminar in Analysis 1 May be repeated for credit; cumulative maximum 10 hours. Current research in analysis. Typically offered Fall and Spring. S, F grading.

593 Seminar in Combinatorics, Linear Algebra, and Number Theory 1 May be repeated for credit; cumulative maximum 10 hours. Current research in combinatorics, linear algebra, and number theory. Typically offered Fall, Spring, and Summer. S, F grading.

594 Mathematics Education Seminar 1 May be repeated for credit; cumulative maximum 10 hours. Current research in mathematics education. Typically offered Fall, Spring, and Summer. S, F grading.

597 Mathematics Instruction Seminar 1 May be repeated for credit; cumulative maximum 5 hours. Introduction to the teaching of university mathematics. Typically offered Fall and Spring. S, F grading.

600 Special Projects or Independent Study V 1-18 May be repeated for credit. Independent study, special projects, and/or internships. Students must have graduate degree-seeking status and should check with their major advisor before enrolling in 600 credit, which cannot be used toward the core graded credits required for a graduate degree. Typically offered Fall, Spring, and Summer. S, F grading.

702 Master's Special Problems, Directed Study, and/or Examination V 1-18 May be repeated for credit. Independent research in special problems, directed study, and/or examination credit for students in a non-thesis master's degree program. Students must have graduate degree-seeking status and should check with their major advisor/committee chair before enrolling for 702 credit. Typically offered Fall, Spring, and Summer. S, U grading.

800 Doctoral Research, Dissertation, and/or Examination V 1-18 May be repeated for credit. Course Prerequisite: Admitted to the Mathematics PhD program. Independent research and advanced study for students working on their doctoral research, dissertation and/or final examination. Students must have graduate degree-seeking status and should check with their major advisor/committee chair before enrolling for 800 credit. Typically offered Fall, Spring, and Summer. S, U grading.


Statistics (STAT)

Fall 2021 Spring 2022 


205 [QUAN] Statistical Thinking 3 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or a minimum ALEKS math placement score of 45%. Scientific explanation; correlations and causality; presenting statistical evidence; graphical and numerical methods; chance and gambling; the bell-shaped distribution. Typically offered Fall, Spring, and Summer.

212 [QUAN] Introduction to Statistical Methods 4 (3-2) Course Prerequisite: MATH 101, 103, 105, or 251, each with a C or better, or credit for MATH 106, 108, 140, 171, 201, 202, or a minimum ALEKS math placement score of 45%. Introduction to descriptive and inferential statistics: t-tests, chi-square tests, one-way ANOVA, simple linear regression and correlation. Typically offered Fall, Spring, and Summer.

212 (Effective through Summer 2021) [QUAN] Introduction to Statistical Methods 4 (3-2) Course Prerequisite: MATH 101, 103, 105, or 251, each with a C or better, or credit for MATH 106, 108, 140, 171, 201, or a minimum ALEKS math placement score of 45%. Introduction to descriptive and inferential statistics: t-tests, chi-square tests, one-way ANOVA, simple linear regression and correlation. Typically offered Fall, Spring, and Summer.

360 Probability and Statistics 3 Course Prerequisite: MATH 140, 171, or 202, each with a C or better, or MATH 172 or 182. Probability models, sample spaces, random variables, distributions, moments, comparative experiments, tests, correlation and regression in engineering applications. Credit not granted for both STAT 360 and 370. Typically offered Fall, Spring, and Summer. Cooperative: Open to UI degree-seeking students.

370 Introductory Statistics for Engineers 3 Course Prerequisite: MATH 140, 171, or 202 with a C or better, or MATH 172 or 182. Probability axioms, probability models, random variables, expectation, confidence intervals, hypothesis testing, analysis of variance, control charts. Credit not granted for both STAT 360 and 370. Typically offered Fall, Spring, and Summer.

370 (Effective through Spring 2021) Introductory Statistics for Engineers 3 Course Prerequisite: MATH 172 or MATH 182. Probability axioms, probability models, random variables, expectation, confidence intervals, hypothesis testing, analysis of variance, control charts. Credit not granted for both STAT 360 and 370. Typically offered Fall, Spring, and Summer.

380 [M] Decision Making and Statistics 3 Course Prerequisite: STAT 360 or 370. Concepts and methods of decision science using simple mathematical, statistical and computer based tools to solve complex problems for sound decision making. Typically offered Spring.

410 Topics in Probability and Statistics 3 May be repeated for credit; cumulative maximum 6 hours. Current topics in probability and statistics of mutual interest to faculty and students. Credit not granted for both STAT 410 and STAT 510. Recommended preparation: One 3-hour 300-level STAT course. Offered at 400 and 500 level.

412 Statistical Methods in Research I 3 Course Prerequisite: STAT 212, MATH 140, 171, 202, or graduate standing. Intermediate statistical methods, design and analysis of research studies: completely randomized and randomized block designs, multiple regression, categorical data analysis. Typically offered Fall, Spring, and Summer. Cooperative: Open to UI degree-seeking students.

419 Introduction to Multivariate Statistics 3 Course Prerequisite: MATH 220 or 225; one 300-400-level STAT. Introductory course covering multidimensional data, multivariate normal distribution, principal components, factor analysis, clustering, and discriminant analysis. Typically offered Fall and Spring.

419 (Effective through Summer 2021) Introduction to Multivariate Statistics 3 Course Prerequisite: MATH 220; one 300-400-level STAT. Introductory course covering multidimensional data, multivariate normal distribution, principal components, factor analysis, clustering, and discriminant analysis. Typically offered Fall and Spring.

422 Sampling Methods 3 Course Prerequisite: STAT 212, 360, or 370. Simple and stratified random sampling; systematic sampling; cluster sampling; double sampling, area sampling. Cooperative: Open to UI degree-seeking students.

423 Statistical Methods for Engineers and Scientists 3 Hypothesis testing; linear, multilinear, and nonlinear regression; analysis of variance for designed experiments; quality control; statistical computing. Credit not granted for both STAT 423 and STAT 523. Credit not normally granted for both STAT 423 and 430. Recommended preparation: One 3-credit 300-level STAT course. Offered at 400 and 500 level. Typically offered Fall and Spring.

430 Statistical Methods in Engineering 3 Course Prerequisite: MATH 172 or 182; MATH 220. Random variables, sampling, hypothesis testing; linear, multilinear, and nonlinear regression; analysis of variance for designed experiments; statistical computing.

435 [M] Statistical Modeling for Data Analytics 3 (2-2) Course Prerequisite: STAT 360. Multiple linear regression with model selection, dealing with multicolinearity, assessing model assumptions, the LASSO, ridge regression, elastic nets, Loess smoothing, logistic regression, Poisson regression, and the application of the bootstrap to regression modeling. Typically offered Fall.

436 Statistical Computing with SAS and R 3 (2-2) Course Prerequisite: One 300-400-level STAT. Introduction to the SAS and R statistical software packages; covers data entry, variable creation, debugging, graphics, and basic statistical methods. Typically offered Fall.

437 High Dimensional Data Learning and Visualization 3 Course Prerequisite: STAT 435. Data visualization, metric-based clustering, probabilistic and metric-based classification, algebraic and probabilistic dimension reduction, scalable inferential methods, analysis of non-Euclidean data. Typically offered Spring.

443 Applied Probability 3 Course Prerequisite: MATH 172 or MATH 182; MATH 220 or MATH 230. Axioms of probability theory; random variables; expectation; generating function; law of large numbers; central limit theorem; Markov chains. Typically offered Fall.

446 Statistical Applications in Insurance 3 Course Prerequisite: STAT 443. Introduction to the application of mathematics and statistics to the insurance field with a focus on actuarial science. Typically offered Even Years - Spring.

447 Introduction to Time Series Analysis 3 Course Prerequisite: STAT 412 or concurrent enrollment, or STAT 423 or concurrent enrollment. Introduction to the analysis and application of time series including AR, MA, ARMA, and ARIMA models. Typically offered Odd Years - Spring.

456 Introduction to Statistical Theory 3 Course Prerequisite: STAT 430 or 443. Sampling distributions; hypothesis testing and estimation; maximum likelihood; likelihood ratio tests; theory of least squares; nonparametrics. (Crosslisted course offered as STAT 456, MATH 456). Credit not granted for more than one of STAT/MATH 456 or STAT 556. Recommended preparation: One 3-credit 400-level STAT or probability course. Offered at 400 and 500 level. Typically offered Spring.

508 Environmental Spatial Statistics 3 Theoretical introduction and practical training in spatial data analysis for graduate students in the environmental sciences. (Crosslisted course offered as SOIL SCI 508, STAT 508). Required preparation must include undergraduate statistics through applied multiple regression. Typically offered Fall and Spring. Cooperative: Open to UI degree-seeking students.

510 Topics in Probability and Statistics 3 May be repeated for credit; cumulative maximum 6 hours. Current topics in probability and statistics of mutual interest to faculty and students. Credit not granted for both STAT 410 and STAT 510. Recommended preparation: One 3-hour 300-level STAT course. Offered at 400 and 500 level.

511 Statistical Methods for Graduate Researchers 4 (3-2) Fundamentals of experimental design and statistical methods for graduate students in the sciences. Covers t-test for one and two means, ANOVA through completely randomized designs with one and two factors, chi-square tests and regression analysis using R. Recommended preparation: One prior course in statistics. Cannot be used for credit in the Department of Mathematics and Statistics graduate programs. (Crosslisted course offered as STAT 511, AFS 511). Typically offered Fall and Spring.

512 Analysis of Variance of Designed Experiments 3 (2-2) Principles of experimental design and analysis and interpretation of data. Required preparation: One 3-credit 400-level STAT course. Typically offered Fall and Spring.

516 Time Series 3 ARIMA models; identification, estimation, diagnostics, and forecasting; seasonal adjustments, outlier detection, intervention analysis and transfer function modeling. (Crosslisted course offered as MGTOP 516, STAT 516). Recommended preparation: STAT 443. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

519 Applied Multivariate Analysis 3 Multivariate normal distribution, principal components, factor analysis, discriminant function, cluster analysis, Hotteling's T2 and MANOVA. (Crosslisted course offered as MGTOP 519, STAT 519). Recommended preparation: STAT 443. Typically offered Fall and Spring.

520 Statistical Analysis of Qualitative Data 3 Binomial, Poisson, multinomial distribution; contingency tables, Fisher's tests, log-linear models; ordinal data; applications in biology, business, psychology, and sociology. Required preparation: Linear Algebra or Calculus I; one 3-credit 400-level STAT course. Typically offered Even Years - Fall. Cooperative: Open to UI degree-seeking students.

522 Biostatistics and Statistical Epidemiology 3 Rigorous approach to biostatistical and epidemiological methods including relative risk, odds ratio, cross-over designs, survival analysis and generalized linear models. Required preparation: Linear Algebra or Calculus I; one 3-credit 400-level STAT course. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

523 Statistical Methods for Engineers and Scientists 3 Hypothesis testing; linear, multilinear, and nonlinear regression; analysis of variance for designed experiments; quality control; statistical computing. Credit not granted for both STAT 423 and STAT 523. Credit not normally granted for both STAT 423 and 430. Recommended preparation: One 3-credit 300-level STAT course. Offered at 400 and 500 level. Typically offered Fall and Spring.

530 Predictive Models: Foundations in Data Science 3 (2-2) Topics in regression and classification suing probabilistic and data-based methods to build statistical foundations for data science; lab component allows methods to be implemented using data-based software of student choice. Required preparation: One 3-credit 400-level STAT course. Typically offered Spring.

530 (Effective through Summer 2021) Applied Linear Models 3 (2-2) The design and analysis of experiments by linear models. Required preparation: One 3-credit 400-level STAT course. Typically offered Spring.

533 Theory of Linear Models 3 Theoretical basis of linear regression and analysis of variance models; a unified approach based upon the generalized inverse. Required preparation: Linear Algebra and one 3-hour 400-level statistics theory course. Cooperative: Open to UI degree-seeking students.

535 Regression Analysis 3 Conceptual development of regression; estimation, prediction, tests of hypotheses, variable selection, diagnostics, model validation, correlation, and nonlinear regression. Recommended preparation: One 3-credit 400-level STAT course. Typically offered Spring. Cooperative: Open to UI degree-seeking students.

536 Statistical Computing 3 (2-3) Course Prerequisite: STAT 556. Generation of random variables, Monte Carlo simulation, bootstrap and jackknife methods, EM algorithm, Markov chain Monte Carlo methods. (Crosslisted course offered as STAT 536, MATH 536). Recommended preparation: One 3-credit 400-level probability or STAT course. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

544 Applied Stochastic Processes 3 Foundations of continuous time stochastic processes: Kolmogorov forward/backward equations, master equation; general introduction to stochastic calculus and stochastic differential equations; applications. Required preparation: One 3-credit 400-level probability course. Typically offered Odd Years - Spring. Cooperative: Open to UI degree-seeking students.

548 Statistical Theory I 3 Probability spaces, combinatorics, multidimensional random variables, characteristic function, special distributions, limit theorems, stochastic processes, order statistics. (Crosslisted course offered as STAT 548, MATH 568). Recommended preparation: Calculus III and one 3-credit 400-level probability course. Typically offered Fall. Cooperative: Open to UI degree-seeking students.

549 Statistical Theory II 3 Course Prerequisite: STAT 548 or MATH 568. Statistical inferences; estimation and testing hypotheses; regression analysis; sequential analysis and nonparametric methods. (Crosslisted course offered as STAT 549, MATH 569). Typically offered Spring. Cooperative: Open to UI degree-seeking students.

556 Introduction to Statistical Theory 3 Sampling distributions; hypothesis testing and estimation; maximum likelihood; likelihood ratio tests; theory of least squares; nonparametrics. (Crosslisted course offered as STAT 456, MATH 456). Credit not granted for more than one of STAT/MATH 456 or STAT 556. Recommended preparation: One 3-credit 400-level STAT or probability course. Offered at 400 and 500 level. Typically offered Spring.

565 Analyzing Microarray and Other Genomic Data 3 Statistical issues from pre-processing (transforming, normalizing) and analyzing genomic data (differential expression, pattern discovery and predictions). Required preparation: Linear Algebra. Typically offered Odd Years - Fall. Cooperative: Open to UI degree-seeking students.

572 Quality Control 3 Simple quality assurance tools; process monitoring; Shewhart control charts; process characterization and capability; sampling inspection; factorial experiments. Recommended preparation: One 3-credit 400-level statistics or probability course.

573 Reliability 3 Probabilistic modeling and inference; product-limit estimator; probability plotting; maximum likelihood estimation with censored data; regression models for accelerated life testing. Recommended preparation: One 3-credit 400-level statistics or probability course.

574 Linear and Nonlinear Mixed Models 3 Course Prerequisite: STAT 530; STAT 556. The theoretical development and application of linear and nonlinear mixed models covering the theory of linear, generalized linear, and nonlinear mixed models. Typically offered Spring.

575 The Theory of Multivariate Analysis 3 Course Prerequisite: STAT 556. The theoretical development and application of multivariate statistical methods; topics include multivariate distributions, MANOVA, principal components, factor analysis and classification. Required preparation: one course in linear algebra. Typically offered Fall.

576 Bayesian Analysis 3 Course Prerequisite: STAT 556. Statistical principle for combing new evidence with prior beliefs, inference and simulation procedures for accommodating complex data and producing interpretable output. Recommended preparation: STAT 536. Typically offered Even Years - Fall.

577 Statistical Learning Theory 3 Course Prerequisite: STAT 536. Focus on learning and interpreting from data; both prediction and classification will be discussed for supervised and unsupervised learning. Typically offered Spring.

590 Statistical Consulting Practicum V 1-2 May be repeated for credit; cumulative maximum 6 hours. Theory and practice of statistical consulting, participation in consulting session. Recommended preparation: STAT 530. Typically offered Spring. S, F grading.

591 Seminar in Statistics 1 May be repeated for credit; cumulative maximum 10 hours. Course prerequisite: Graduate student in the Department of Mathematics and Statistics. Current research in statistics. Typically offered Fall and Spring. S, F grading.

600 Special Projects or Independent Study V 1-18 May be repeated for credit. Independent study, special projects, and/or internships. Students must have graduate degree-seeking status and should check with their major advisor before enrolling in 600 credit, which cannot be used toward the core graded credits required for a graduate degree. Typically offered Fall, Spring, and Summer. S, F grading.

702 Master's Special Problems, Directed Study, and/or Examination V 1-18 May be repeated for credit. Independent research in special problems, directed study, and/or examination credit for students in a non-thesis master's degree program. Students must have graduate degree-seeking status and should check with their major advisor/committee chair before enrolling for 702 credit. Typically offered Fall, Spring, and Summer. S, U grading.

800 Doctoral Research, Dissertation, and/or Examination V 1-18 May be repeated for credit. Course Prerequisite: Admitted to the Statistical Science PhD program. Independent research and advanced study for students working on their doctoral research, dissertation and/or final examination. Students must have graduate degree-seeking status and should check with their major advisor/committee chair before enrolling for 800 credit. Typically offered Fall, Spring, and Summer. S, U grading.

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