*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.*

### Courses

#### Mathematics (MATH / MATH)

90 PRE-ALGEBRA 3

91 BEG ALGEBRA 3

99 Intermediate Algebra 3

100 Basic Mathematics 2 Review of basic arithmetic and elementary algebra. No credit earned toward degree. S, F grading.

100 (Effective through Fall 2014) Basic Mathematics 2 Review of basic arithmetic and elementary algebra. No credit earned toward degree; not qualified for financial aid. S, F grading.

100 (Effective through Spring 2014) Basic Mathematics 2 Review of basic arithmetic and elementary algebra. No credit earned toward degree; not qualified for financial aid. S, F grading.

101 Intermediate Algebra 3 Fundamental algebraic operations and concepts. (This material is currently available on the Pullman campus through a 3 credit course, MATH 99, taught by the Institute for Extended Learning, Community Colleges of Spokane). No credit earned toward degree.

101 (Effective through Spring 2014) Intermediate Algebra 3 Fundamental algebraic operations and concepts. (This material is currently available on the Pullman campus through a 3 credit course, MATH 99, taught by the Institute for Extended Learning, Community Colleges of Spokane). No credit earned toward degree.

103 Algebra Methods and Introduction to Functions 3 Course Prerequisite: MATH 100 with an S or ALEKS math placement score of 30%. Fundamental algebraic operations and concepts, linear systems and inequalities, polynomial and rational functions, introduction to exponential and logarithmic functions.

103 (Effective through Spring 2014) Algebra Methods and Introduction to Functions 3 Course Prerequisite: ALEKS math placement score of 30%. Fundamental algebraic operations and concepts, linear systems and inequalities, polynomial and rational functions, introduction to exponential and logarithmic functions.

105 [QUAN] [N] Exploring Mathematics 3 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or ALEKS math placement score of 40%. Nature and scope of modern mathematics, and its relationships to other disciplines.

105 (Effective through Spring 2014) [QUAN] [N] Exploring Mathematics 3 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or ALEKS math placement score of 40%. Nature and scope of modern mathematics, and its relationships to other disciplines.

106 College Algebra 3 Course Prerequisite: MATH 101 with a C or better, or Math 103 with a C or better, or ALEKS math placement score of 55%. Graphs, properties and applications of polynomial, rational, exponential and logarithmic functions. Credit not normally granted for both MATH 106 and 107.

106 (Effective through Spring 2014) College Algebra 3 Course Prerequisite: MATH 101 with a C or better, or Math 103 with a C or better, or ALEKS math placement score of 55%. Graphs, properties and applications of polynomial, rational, exponential and logarithmic functions. Credit not normally granted for both MATH 106 and 107.

107 Precalculus 4 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or ALEKS math placement score of 50%. Graphs, properties, and applications of polynomial, rational, exponential, logarithmic, and trigonometric functions. Credit not normally granted for both MATH 107 and either MATH 106 or 108.

107 (Effective through Spring 2014) Precalculus 4 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or ALEKS math placement score of 50%. Graphs, properties, and applications of polynomial, rational, exponential, logarithmic, and trigonometric functions. Credit not normally granted for both MATH 107 and either MATH 106 or 108.

108 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.

108 (Effective through Spring 2014) 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.

110 Mathematics Acceleration 1 (0-3) Course Prerequisite: 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. S, F grading.

110 (Effective through Spring 2014) Mathematics Tutorial for MATH 106/108 1 (0-3) Course Prerequisite: Concurrent enrollment in either MATH 106 or MATH 108. Student-centered group tutorial focusing on mathematics skill improvement necessary for success in MATH 106 or MATH 108. 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. S, F grading.

115 Math 105 Tutorial 2 Tutorial for MATH 105 focusing on concept development and mastery; skill proficieincy. S, F grading.

115 (Effective through Spring 2014) Math 105 Tutorial 2 Tutorial for MATH 105 focusing on concept development and mastery; skill proficieincy. S, F grading.

116 Math 106 Tutorial 2 Tutorial for MATH 106 focusing on concept development and mastery; skill proficieincy. S, F grading.

116 (Effective through Spring 2014) Math 106 Tutorial 2 Tutorial for MATH 106 focusing on concept development and mastery; skill proficieincy. S, F grading.

140 [QUAN] [N] 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 MATH 107 with a C or better, or ALEKS math placement score of 70%. Enrollment not allowed if credit already earned for MATH 171, 202, or 206. Differential and integral calculus with emphasis on life science applications. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

140 (Effective through Spring 2014) [QUAN] [N] 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 MATH 107 with a C or better, or ALEKS math placement score of 70%. Enrollment not allowed if credit already earned for MATH 171, 202, or 206. Differential and integral calculus with emphasis on life science applications. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

151 Calculus for Middle School Teachers 3 Course Prerequisite: MATH 106 with a C or better, or ALEKS math placement score of 65%. Differential and integral calculus in relation to middle school mathematics and real world problems through visualization, hands-on activities and technology.

151 (Effective through Spring 2014) Calculus for Middle School Teachers 3 Course Prerequisite: MATH 106 with a C or better, or ALEKS math placement score of 65%. Differential and integral calculus in relation to middle school mathematics and real world problems through visualization, hands-on activities and technology.

171 [QUAN] [N] Calculus I 4 (3-3) Course Prerequisite: MATH 106 with a C or better and MATH 108 with a C or better, or MATH 107 with a C or better, or ALEKS math placement score of 80%. Enrollment not allowed if credit already earned for MATH 140, 202, or 206. Differential and integral calculus of one variable with associated analytic geometry. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

171 (Effective through Spring 2014) [QUAN] [N] Calculus I 4 (3-3) Course Prerequisite: MATH 106 with a C or better and MATH 108 with a C or better, or MATH 107 with a C or better, or ALEKS math placement score of 80%. Enrollment not allowed if credit already earned for MATH 140, 202, or 206. Differential and integral calculus of one variable with associated analytic geometry. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

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.

172 (Effective through Spring 2014) 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.

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.

182 (Effective through Spring 2014) 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.

201 Mathematics for Business and Economics 3 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or ALEKS math placement score of 55%. Mathematical analysis using polynomial, exponential, and logarithmic functions; linear systems, linear programming and probability, for business and economic applications.

201 (Effective through Spring 2014) Mathematics for Business and Economics 3 Course Prerequisite: MATH 101 with a C or better, MATH 103 with a C or better, or ALEKS math placement score of 55%. Mathematical analysis using polynomial, exponential, and logarithmic functions; linear systems, linear programming and probability, for business and economic applications.

202 [QUAN] [N] Calculus for Business and Economics 3 Course Prerequisite: MATH 106 with a C or better, MATH 107 with a C or better, MATH 201 with a C or better, or ALEKS math placement score of 65%. Enrollment not allowed if credit already earned for MATH 140, 171, or 206. Differential and integral calculus of the polynomial, exponential, and logarithmic functions. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

202 (Effective through Spring 2014) [QUAN] [N] Calculus for Business and Economics 3 Course Prerequisite: MATH 106 with a C or better, MATH 107 with a C or better, MATH 201 with a C or better, or ALEKS math placement score of 65%. Enrollment not allowed if credit already earned for MATH 140, 171, or 206. Differential and integral calculus of the polynomial, exponential, and logarithmic functions. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

205 [QUAN] [N] Statistical Thinking 3 Course Prerequisite: MATH 101, 103, or ALEKS math placement score of 40%. Scientific explanation; correlations and causality; presenting statistical evidence; graphical and numerical methods; chance and gambling; the bell-shaped distribution. (Crosslisted course offered as STAT 205, MATH 205).

206 [N] Calculus for Architects 3 Enrollment not allowed if credit already earned for MATH 140, 171, or 202. Calculus of elementary functions; trigonometry; applications to architecture. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

206 (Effective through Spring 2014) [N] Calculus for Architects 3 Enrollment not allowed if credit already earned for MATH 140, 171, or 202. Calculus of elementary functions; trigonometry; applications to architecture. Credit not normally allowed for more than one of MATH 140, 171, 202, 206.

212 [QUAN] [N] Introduction to Statistical Methods 4 (3-2) Course Prerequisite: MATH 101, 103, 106, 108, 140, 171, 201, or ALEKS math placement score of 40%. Introduction to descriptive and inferential statistics: t-tests, chi-square tests, one-way ANOVA, simple linear regression and correlation. (Crosslisted course offered as STAT 212, MATH 212).

212 (Effective through Spring 2014) [QUAN] [N] Introduction to Statistical Methods 4 (3-2) Course Prerequisite: MATH 101, 103, 106, 108, 140, 171, 201, or ALEKS math placement score of 40%. Introduction to descriptive and inferential statistics: t-tests, chi-square tests, one-way ANOVA, simple linear regression and correlation. (Crosslisted course offered as STAT 212, MATH 212).

216 Discrete Structures 3 Course Prerequisite: MATH 107 with a C or better, MATH 108 with a C or better, or MATH 140, 171, 172, 182, or 202. Discrete mathematics, trees, graphs, elementary logic, and combinatorics with application to computer science. (Crosslisted course offered as MATH 216, CS 216). Recommended preparation: Programming course.

216 (Effective through Spring 2014) Discrete Structures 3 Course Prerequisite: MATH 107 with a C or better, MATH 108 with a C or better, or MATH 140, 171, 172, 182, or 202. Discrete mathematics, trees, graphs, elementary logic, and combinatorics with application to computer science. (Crosslisted course offered as MATH 216, CS 216). Recommended preparation: Programming course.

220 Introductory Linear Algebra 2 Course Prerequisite: MATH 171 or concurrent enrollment. Elementary linear algebra with geometric applications. Credit not normally granted for more than one of MATH 220 and 230.

220 (Effective through Spring 2014) Introductory Linear Algebra 2 Course Prerequisite: MATH 171 or concurrent enrollment. Elementary linear algebra with geometric applications. Credit not normally granted for more than one of MATH 220 and 230.

230 Honors Introductory Linear Algebra 3 Course Prerequisite: MATH 171 or concurrent enrollment. An introduction to linear algebra with an emphasis on conceptual development. Credit not normally granted for more than one of MATH 220 and 230.

230 (Effective through Spring 2014) Honors Introductory Linear Algebra 3 Course Prerequisite: MATH 171 or concurrent enrollment. An introduction to linear algebra with an emphasis on conceptual development. Credit not normally granted for more than one of MATH 220 and 230.

251 Fundamentals of Elementary Mathematics I 3 (2-2) Course Prerequisite: Math 101 with a C or better, Math 103 with a C or better, Math 106 with a C or better, or ALEKS math placement score of 45%. Comprehensive development of number systems emphasizing place-value, integers, rational numbers, and associated algorithms; methods of problem solving.

251 (Effective through Spring 2014) Fundamentals of Elementary Mathematics I 3 (2-2) Course Prerequisite: Math 101 with a C or better, Math 103 with a C or better, Math 106 with a C or better, or ALEKS math placement score of 45%. Comprehensive development of number systems emphasizing place-value, integers, rational numbers, and associated algorithms; methods of problem solving.

252 [QUAN] [N] 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.

252 (Effective through Spring 2014) [QUAN] [N] 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.

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.

273 (Effective through Spring 2014) 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.

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.

283 (Effective through Spring 2014) 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.

300 [M] Mathematical Computing 3 (2-3) Course Prerequisite: MATH 220 or MATH 230. Examination of some current computer software for solving mathematical problems. Recommended preparation: MATH 315.

300 (Effective through Spring 2014) [M] Mathematical Computing 3 (2-3) Course Prerequisite: MATH 220 or MATH 230. Examination of some current computer software for solving mathematical problems. Recommended preparation: MATH 315.

301 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.

301 (Effective through Spring 2014) 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.

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.

302 (Effective through Spring 2014) 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.

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.

303 (Effective through Spring 2014) [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.

315 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.

315 (Effective through Spring 2014) 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.

320 [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.

325 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.

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

330 (Effective through Spring 2014) Methods of Teaching Secondary School Mathematics 3 Course Prerequisite: MATH 301 or concurrent enrollment. New curricula and pedagogical techniques for secondary school mathematics.

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).

340 (Effective through Spring 2014) 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).

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.

351 (Effective through Spring 2014) 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.

360 Probability and Statistics 3 Course Prerequisite: MATH 172 or MATH 182. Probability models, sample spaces, random variables, distributions, moments, comparative experiments, tests, correlation and regression in engineering applications. (Crosslisted course offered as STAT 360, MATH 360). Credit not granted for both MATH/STAT 360 and MATH 370. Cooperative: Open to UI degree-seeking students.

360 (Effective through Summer 2015) Probability and Statistics 3 Course Prerequisite: MATH 172 or MATH 182. Probability models, sample spaces, random variables, distributions, moments, comparative experiments, tests, correlation and regression in engineering applications. (Crosslisted course offered as STAT 360, MATH 360). Credit not granted for both MATH/STAT 360 and MATH 370. Cooperative: Open to UI degree-seeking students.

360 (Effective through Spring 2014) Probability and Statistics 3 Course Prerequisite: MATH 172 or MATH 182. Probability models, sample spaces, random variables, distributions, moments, comparative experiments, tests, correlation and regression in engineering applications. (Crosslisted course offered as STAT 360, MATH 360). Credit not granted for both MATH/STAT 360 and MATH 370. Cooperative: Open to UI degree-seeking students.

364 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.

364 (Effective through Spring 2014) 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.

370 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. (Crosslisted course offered as STAT 370, MATH 370). Credit not granted for both MATH/STAT 360 and MATH/STAT 370.

370 (Effective through Summer 2015) 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. (Crosslisted course offered as STAT 370, MATH 370). Credit not granted for both MATH/STAT 360 and MATH/STAT 370.

370 (Effective through Spring 2014) 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. (Crosslisted course offered as STAT 370, MATH 370). Credit not granted for both MATH/STAT 360 and MATH/STAT 370.

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

375 (Effective through Spring 2014) Vector Analysis 3 Course Prerequisite: MATH 315. Line integrals, gradient, curl, divergence; Stokes' theorem, potential functions.

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.

398 (Effective through Spring 2014) 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.

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.

401 (Effective through Spring 2014) [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.

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.

402 (Effective through Spring 2014) [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.

403 Geometry for Secondary Teachers 3 Course Prerequisite: MATH 301 with a C or better. Geometry as a deductive system of logic; postulational systems; projective and non-Euclidian geometries.

403 (Effective through Spring 2014) Geometry for Secondary Teachers 3 Geometry as a deductive system of logic; postulational systems; projective and non-Euclidian geometries.

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

415 (Effective through Spring 2014) Intermediate Differential Equations 3 Course Prerequisite: MATH 315. Linear systems; qualitative theory (existence, uniqueness, stability, periodicity); boundary value problems; applications.

416 Simulation Methods 3 Course Prerequisite: MATH 360; CPT S 121, CPT S 251, or MATH 300. Model formulation and simulation in business, industry, and government; simulation languages; analysis of simulation output; applications. 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.

416 (Effective through Spring 2014) Simulation Methods 3 Course Prerequisite: MATH 360; CPT S 121, CPT S 251, or MATH 300. Model formulation and simulation in business, industry, and government; simulation languages; analysis of simulation output; applications. 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.

420 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. Advanced topics in linear algebra including similarity transformations, canonical forms, bilinear forms.

420 (Effective through Spring 2014) 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. Advanced topics in linear algebra including similarity transformations, canonical forms, bilinear forms.

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.

421 (Effective through Spring 2014) [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.

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 normally granted for both STAT 423 and 430. (Crosslisted course offered as STAT 423, MATH 423). Recommended preparation: One 3-hour 300-level STAT course. Offered at 400 and 500 level.

423 (Effective through Spring 2014) 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 normally granted for both STAT 423 and 430. (Crosslisted course offered as STAT 423, MATH 423). Recommended preparation: One 3-hour 300-level STAT course. Offered at 400 and 500 level.

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).

425 (Effective through Spring 2014) 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.

431 (Effective through Spring 2014) 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 MATH 531. Offered at 400 and 500 level.

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.

432 (Effective through Fall 2014) 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. Credit not granted for both MATH 432 and MATH 532. Offered at 400 and 500 level.

432 (Effective through Spring 2014) 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. Credit not granted for both MATH 432 and MATH 532. Offered at 400 and 500 level.

440 Applied Mathematics I 3 Course Prerequisite: MATH 315. Partial differential equations; Fourier series and integrals; Bessel functions; calculus of variations; vector calculus; applications. Credit not granted for both MATH 440 and MATH 540. Required preparation must include differential equations. Offered at 400 and 500 level.

440 (Effective through Spring 2014) Applied Mathematics I 3 Course Prerequisite: MATH 315. Partial differential equations; Fourier series and integrals; Bessel functions; calculus of variations; vector calculus; applications. Credit not granted for both MATH 440 and MATH 540. Required preparation must include differential equations. Offered at 400 and 500 level.

441 Applied Mathematics II 3 Course Prerequisite: MATH 315. Complex variable theory including analytic functions, infinite series, residues, and conformal mapping; Laplace transforms; applications. Credit not granted for both MATH 441 and MATH 541. Required preparation must include differential equations. Offered at 400 and 500 level.

441 (Effective through Spring 2014) Applied Mathematics II 3 Course Prerequisite: MATH 315. Complex variable theory including analytic functions, infinite series, residues, and conformal mapping; Laplace transforms; applications. Credit not granted for both MATH 441 and MATH 541. Required preparation must include differential equations. Offered at 400 and 500 level.

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. (Crosslisted course offered as STAT 443, MATH 443).

443 (Effective through Spring 2014) 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. (Crosslisted course offered as STAT 443, MATH 443).

448 Numerical Analysis 3 Course Prerequisite: MATH 315; CPT S 121, CPT S 251, or MATH 300. 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.

448 (Effective through Spring 2014) Numerical Analysis 3 Course Prerequisite: MATH 315; CPT S 121, CPT S 251, or MATH 300. 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, CPT S 430, CPT S 530). Required preparation must include differential equations and a programming course. Offered at 400 and 500 level.

453 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, CPT S 453). Required preparation must include linear algebra. Required preparation must include linear algebra. Offered at 400 and 500 level.

453 (Effective through Spring 2014) 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, CPT S 453). Required preparation must include linear algebra. Required preparation must include linear algebra. Offered at 400 and 500 level.

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). Recommended preparation: One 3-hour 400-level STAT or probability course. Offered at 400 and 500 level.

456 (Effective through Spring 2014) 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). Recommended preparation: One 3-hour 400-level STAT or probability course. Offered at 400 and 500 level.

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.

464 (Effective through Summer 2014) 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.

464 (Effective through Spring 2014) 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.

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.

466 (Effective through Spring 2014) 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.

486 Mathematical Modeling in the Natural Science 3 Course Prerequisite: MATH 315. Development of mathematical models for solutions of problems in the physical and life sciences. Credit not granted for both MATH 486 and MATH 586. Required preparation must include differential equations. Offered at 400 and 500 level.

486 (Effective through Spring 2014) Mathematical Modeling in the Natural Science 3 Course Prerequisite: MATH 315. Development of mathematical models for solutions of problems in the physical and life sciences. Credit not granted for both MATH 486 and MATH 586. Required preparation must include differential equations. Offered at 400 and 500 level.

490 Topics in Mathematics V 1-3 Course Prerequisite: By instructor permission. Special topics in mathematics.

490 (Effective through Spring 2014) Topics in Mathematics V 1-3 Course Prerequisite: By instructor permission. Special topics in mathematics.

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). Cooperative: Open to UI degree-seeking students. S, F grading.

494 (Effective through Spring 2014) 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). 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. May be repeated for credit; cumulative maximum 2 hours. S, F grading.

497 (Effective through Spring 2014) Instructional Practicum V 1-2 May be repeated for credit; cumulative maximum 2 hours. Course Prerequisite: By instructor permission. May be repeated for credit; cumulative maximum 2 hours. 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. S, F grading.

499 (Effective through Spring 2014) 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. S, F grading.

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

500 (Effective through Spring 2014) Proseminar 1 May be repeated for credit; cumulative maximum 2 hours. 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.

501 (Effective through Spring 2014) 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.

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.

502 (Effective through Spring 2014) 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.

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.

503 (Effective through Spring 2014) 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.

504 (Effective through Spring 2014) 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.

505 Abstract Algebra 3 Groups, rings, fields, and homological algebra. Required preparation must include abstract algebra.

505 (Effective through Spring 2014) Abstract Algebra 3 Groups, rings, fields, and homological algebra. Required preparation must include abstract algebra.

507 Advanced Theory of Numbers 3 May be repeated for credit; cumulative maximum 6 hours. Analytic and algebraic number theory.

507 (Effective through Spring 2014) Advanced Theory of Numbers 3 May be repeated for credit; cumulative maximum 6 hours. Analytic and algebraic number theory.

508 Topics in Applied Analysis 3 Course Prerequisite: MATH 502. Advanced treatment of applications using techniques from fundamental analysis, convexity, analytic function theory, asymptotics, and differential equations.

508 (Effective through Spring 2014) Topics in Applied Analysis 3 Course Prerequisite: MATH 502. Advanced treatment of applications using techniques from fundamental analysis, convexity, analytic function theory, asymptotics, and differential equations.

511 Advanced Linear Algebra 3 Vector spaces, inner products, unitary equivalence, similarity, Jordan forms, normality, spectral theory, singular value decomposition, norms and inequalities. Required preparation must include advanced linear algebra.

511 (Effective through Spring 2014) Advanced Linear Algebra 3 Vector spaces, inner products, unitary equivalence, similarity, Jordan forms, normality, spectral theory, singular value decomposition, norms and inequalities. Required preparation must include advanced linear algebra.

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. Cooperative: Open to UI degree-seeking students.

512 (Effective through Spring 2014) 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. Cooperative: Open to UI degree-seeking students.

516 Simulation Methods 3 Model formulation and simulation in business, industry, and government; simulation languages; analysis of simulation output; applications. 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.

516 (Effective through Spring 2014) Simulation Methods 3 Model formulation and simulation in business, industry, and government; simulation languages; analysis of simulation output; applications. 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.

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. Cooperative: Open to UI degree-seeking students.

525 (Effective through Spring 2014) 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. Cooperative: Open to UI degree-seeking students.

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.

531 (Effective through Spring 2014) 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 MATH 531. Offered at 400 and 500 level.

532 Advanced Mathematical Thinking 3 Course Prerequisite: Graduate standing in mathematics. Current theories about how humans learn to think mathematically at the advanced level.

532 (Effective through Fall 2014) Mathematics for College and Secondary Teachers 3 Course Prerequisite: By instructor permission. Pre-algebra, algebra functions and geometry examined from an advanced perspective, for secondary and lower level college teachers. Credit not granted for both MATH 432 and MATH 532. Offered at 400 and 500 level.

532 (Effective through Spring 2014) Mathematics for College and Secondary Teachers 3 Course Prerequisite: By instructor permission. Pre-algebra, algebra functions and geometry examined from an advanced perspective, for secondary and lower level college teachers. Credit not granted for both MATH 432 and MATH 532. Offered at 400 and 500 level.

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

533 (Effective through Spring 2014) Teaching College Mathematics 1 May be repeated for credit; cumulative maximum 3 hours. Course Prerequisite: Graduate standing in Mathematics. Theory and practice of mathematics instruction at the collegiate level.

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.

534 (Effective through Spring 2014) 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.

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.

535 (Effective through Spring 2014) 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.

536 Statistical Computing 3 (2-3) 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-hour 400-level probability or STAT course. Cooperative: Open to UI degree-seeking students.

536 (Effective through Spring 2014) Statistical Computing 3 (2-3) 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-hour 400-level probability or STAT course. Cooperative: Open to UI degree-seeking students.

540 Applied Mathematics I 3 Partial differential equations; Fourier series and integrals; Bessel functions; calculus of variations; vector calculus; applications. Credit not granted for both MATH 440 and MATH 540. Required preparation must include differential equations. Offered at 400 and 500 level.

540 (Effective through Spring 2014) Applied Mathematics I 3 Partial differential equations; Fourier series and integrals; Bessel functions; calculus of variations; vector calculus; applications. Credit not granted for both MATH 440 and MATH 540. Required preparation must include differential equations. Offered at 400 and 500 level.

541 Applied Mathematics II 3 Complex variable theory including analytic functions, infinite series, residues, and conformal mapping; Laplace transforms; applications. Credit not granted for both MATH 441 and MATH 541. Required preparation must include differential equations. Offered at 400 and 500 level.

541 (Effective through Spring 2014) Applied Mathematics II 3 Complex variable theory including analytic functions, infinite series, residues, and conformal mapping; Laplace transforms; applications. Credit not granted for both MATH 441 and MATH 541. Required preparation must include differential equations. Offered at 400 and 500 level.

543 Approximation Theory 3 Univariate polynomial and rational approximation techniques; approximation using splines and wavelets; selected topics in multivariate approximation; algorithms for approximation. Required preparation must include numerical analysis. Cooperative: Open to UI degree-seeking students.

543 (Effective through Spring 2014) Approximation Theory 3 Univariate polynomial and rational approximation techniques; approximation using splines and wavelets; selected topics in multivariate approximation; algorithms for approximation. Required preparation must include numerical analysis. Cooperative: Open to UI degree-seeking students.

544 Advanced Matrix Computations 3 Advanced topics in the solution of linear systems and eigenvalue problems, including parallel matrix computations. (Crosslisted course offered as MATH 544, CPT S 531). Required preparation must include numerical analysis. Required preparation must include numerical analysis. Cooperative: Open to UI degree-seeking students.

544 (Effective through Spring 2014) Advanced Matrix Computations 3 Advanced topics in the solution of linear systems and eigenvalue problems, including parallel matrix computations. (Crosslisted course offered as MATH 544, CPT S 531). Required preparation must include numerical analysis. Required preparation must include numerical analysis. Cooperative: Open to UI degree-seeking students.

545 Numerical Analysis of Evolution Equations 3 Discretization and numerical solution of partial differential equations of evolution; stability, consistency, and convergence; shocks; conservation of forms. Required preparation must include numerical analysis.

545 (Effective through Spring 2014) Numerical Analysis of Evolution Equations 3 Discretization and numerical solution of partial differential equations of evolution; stability, consistency, and convergence; shocks; conservation of forms. Required preparation must include numerical analysis.

546 Numerical Analysis of Elliptic PDEs 3 Methods of discretizing elliptic partial differential equations and solving the resulting systems of equations; error analysis. Required preparation must include numerical analysis. Cooperative: Open to UI degree-seeking students.

546 (Effective through Spring 2014) Numerical Analysis of Elliptic PDEs 3 Methods of discretizing elliptic partial differential equations and solving the resulting systems of equations; error analysis. Required preparation must include numerical analysis. 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.

548 (Effective through Spring 2014) 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, CPT S 430, CPT S 530). Required preparation must include differential equations and a programming course. Offered at 400 and 500 level.

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, CPT S 453). Required preparation must include linear algebra. Required preparation must include linear algebra. Offered at 400 and 500 level.

553 (Effective through Spring 2014) 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, CPT S 453). Required preparation must include linear algebra. Required preparation must include linear algebra. Offered at 400 and 500 level.

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.

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. Cooperative: Open to UI degree-seeking students.

560 (Effective through Spring 2014) 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. Cooperative: Open to UI degree-seeking students.

561 Partial Differential Equations II 3 Course Prerequisite: MATH 560. Continuation of MATH 560.

561 (Effective through Spring 2014) Partial Differential Equations II 3 Course Prerequisite: MATH 560. Continuation of MATH 560.

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. Cooperative: Open to UI degree-seeking students.

563 (Effective through Spring 2014) 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. Cooperative: Open to UI degree-seeking students.

564 Nonlinear Optimization I 3 Theory and algorithms for unconstrained nonlinear optimization problems, including line search, trust region, conjugate gradient, Newton and quasi-Newton methods. Required preparation must include advanced multivariate calculus, and a programming language. Recommended preparation: MATH 464, 544.

564 (Effective through Spring 2014) Nonlinear Optimization I 3 Theory and algorithms for unconstrained nonlinear optimization problems, including line search, trust region, conjugate gradient, Newton and quasi-Newton methods. Required preparation must include advanced multivariate calculus, and a programming language. Recommended preparation: MATH 464, 544.

565 Nonlinear Optimization II 3 Course Prerequisite: MATH 564. Theory and algorithms for constrained linear and nonlinear optimization including interior point, quadratic programming, penalty, barrier and augmented Lagrangian methods.

565 (Effective through Spring 2014) Nonlinear Optimization II 3 Course Prerequisite: MATH 564. Theory and algorithms for constrained linear and nonlinear optimization including interior point, quadratic programming, penalty, barrier and augmented Lagrangian methods.

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.

566 (Effective through Spring 2014) 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.

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.

567 (Effective through Spring 2014) 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.

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-hour 400-level probability course.

568 (Effective through Spring 2014) 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-hour 400-level probability course.

569 Statistical Theory II 3 Continuation of STAT 548. Statistical inferences; estimation and testing hypotheses; regression analysis; sequential analysis and nonparametric methods. (Crosslisted course offered as STAT 549, MATH 569). Recommended preparation: STAT 548.

569 (Effective through Spring 2014) Statistical Theory II 3 Continuation of STAT 548. Statistical inferences; estimation and testing hypotheses; regression analysis; sequential analysis and nonparametric methods. (Crosslisted course offered as STAT 549, MATH 569). Recommended preparation: STAT 548.

570 Mathematical Foundations of Continuum Mechanics I 3 The basic mathematical theory of continuum mechanics and its relation to perturbation techniques and stability methods. Required preparation must include differential equations and advanced calculus or real analysis.

570 (Effective through Spring 2014) Mathematical Foundations of Continuum Mechanics I 3 The basic mathematical theory of continuum mechanics and its relation to perturbation techniques and stability methods. Required preparation must include differential equations and advanced calculus or real analysis.

571 Mathematical Foundations of Continuum Mechanics II 3 Course Prerequisite: MATH 570. Continuation of MATH 570.

571 (Effective through Spring 2014) Mathematical Foundations of Continuum Mechanics II 3 Course Prerequisite: MATH 570. Continuation of MATH 570.

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. Cooperative: Open to UI degree-seeking students.

574 (Effective through Spring 2014) 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. 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.

575 (Effective through Spring 2014) 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.

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.

576 (Effective through Spring 2014) 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.

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).

579 (Effective through Spring 2014) 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).

581 Topics in Mathematics V 1-3 May be repeated for credit. Topics in mathematics. Cooperative: Open to UI degree-seeking students.

581 (Effective through Spring 2014) Topics in Mathematics V 1-3 May be repeated for credit. Topics in mathematics. Cooperative: Open to UI degree-seeking students.

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

583 (Effective through Spring 2014) Topics in Applied Mathematics V 1-3 May be repeated for credit. Topics in applied mathematics. Cooperative: Open to UI degree-seeking students.

586 Mathematical Modeling in the Natural Science 3 Development of mathematical models for solutions of problems in the physical and life sciences. Credit not granted for both MATH 486 and MATH 586. Required preparation must include differential equations. Offered at 400 and 500 level.

586 (Effective through Spring 2014) Mathematical Modeling in the Natural Science 3 Development of mathematical models for solutions of problems in the physical and life sciences. Credit not granted for both MATH 486 and MATH 586. Required preparation must include differential equations. Offered at 400 and 500 level.

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

590 (Effective through Spring 2014) Topics in Mathematics Education V 1-3 May be repeated for credit; cumulative maximum 6 hours. Topics in mathematics education.

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

597 (Effective through Spring 2014) Mathematics Instruction Seminar 1 May be repeated for credit; cumulative maximum 5 hours. Introduction to the teaching of university mathematics. 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. S, F grading.

600 (Effective through Spring 2014) 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. 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. S, U grading.

702 (Effective through Spring 2014) 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. S, U grading.

800 Doctoral Research, Dissertation, and/or Examination V 1-18 May be repeated for credit. 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. S, U grading.

800 (Effective through Spring 2014) Doctoral Research, Dissertation, and/or Examination V 1-18 May be repeated for credit. 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. S, U grading.