Mathematics
Courses
MATH 004 Trigonometry 0.0 Credits
Required for all students who did not have high school trigonometry and for those who did not pass the placement test in trigonometry. Covers the rectangular coordinate system and distance formula, angular measure and trigonometric functions of a number, variations and graphs of the trigonometric functions, trigonometric identities and equations, inverse trigonometric functions, and solutions of triangles applications. All terms.
Repeat Status: Not repeatable for credit
MATH 050 Elements of Precalculus 0.0 Credits
This course covers topics essential for the study of calculus, including elements of algebra, geometry and trigonometry.
Repeat Status: Not repeatable for credit
MATH 100 Fundamentals of Mathematics 3.0 Credits
Course covers properties of real numbers, algebraic expressions, rational expressions, linear and quadratic functions and graphs. This course is intended to give students the background needed to enroll in MATH 101.
Repeat Status: Not repeatable for credit
Restrictions: Can enroll if classification is Freshman or Sophomore .
MATH 101 Introduction to Analysis I 4.0 Credits
Covers linear, quadratic, exponential, and logarithmic functions; systems of linear equations; elementary linear programming; matrix algebra; inverse; and mathematics of finance.
Repeat Status: Not repeatable for credit
Prerequisites: APEM 061 or MATH 100 [Min Grade: D]
MATH 102 Introduction to Analysis II 4.0 Credits
Covers limits, continuity, derivatives, indefinite and definite integrals, and applications.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 101 [Min Grade: D]
MATH 107 Probability and Statistics for Liberal Arts 3.0 Credits
Probability and statistics in everyday life. The pitfalls of interpreting statistical data. A basic introduction to probability, chance, and gambling. Examples include coin-tossing, dice and roulette wheels.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 100 [Min Grade: D] or APEM 060
MATH 108 Mathematics for Nursing Professionals 3.0 Credits
Math foundations needed in the calculation of dosages and solutions of medications. Topics include systems of measurement and calculating dosages involving tablets, capsules, liquids, and powders.
Repeat Status: Not repeatable for credit
Prerequisites: APEN 070 or MATH 100 [Min Grade: D]
MATH 110 Precalculus 3.0 Credits
Reviews topics from algebra, geometry, and trigonometry essential for the study of calculus. For students planning to take Calculus I.
Repeat Status: Not repeatable for credit
Restrictions: Can enroll if classification is Freshman or Sophomore .
MATH 119 Mathematical Foundations for Design 4.0 Credits
This course serves as an introduction to the mathematical concepts and tools most useful to students majoring in the Design Arts. Topics include functions, graphs, plane and fractal geometry, trigonometry, polar coordinates, and elementary topology.
Repeat Status: Not repeatable for credit
Restrictions: Can enroll if classification is Freshman or Sophomore .
MATH 121 Calculus I 4.0 Credits
Functions, limits and continuity, derivatives, trancendental functions, and applications.
Repeat Status: Not repeatable for credit
Restrictions: Can enroll if classification is Freshman or Sophomore .
Prerequisites: APC 070 or APC2 070 or MATH 110 [Min Grade: D]
MATH 122 Calculus II 4.0 Credits
Definite integrals, Fundamental Theorem of Calculus, integration techniques, applications of integration, numerical integration and differential equations.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 121 [Min Grade: D]
MATH 123 Calculus III 4.0 Credits
Differential equations, Taylor's theorem, sequence and series, convergence, power series.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 122 [Min Grade: D]
MATH 180 Discrete Computational Structures 4.0 Credits
Covers basic concepts of discrete mathematics that are important to computing, including elementary set theory, recurrence relations, and graph theory.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 102 [Min Grade: D] or MATH 121 [Min Grade: D]
MATH 181 Mathematical Analysis I 3.0 Credits
Covers set theory, coordinate systems and graphs, functions, linear programming (geometric approach), matrices and linear systems, and linear programming (algebraic approach). Required for architecture, business administration, and construction management students. Non-credit for engineering and science students. Fall, Winter.
Repeat Status: Not repeatable for credit
MATH 182 Mathematical Analysis II 3.0 Credits
Covers counting techniques, probability, statistics, and probability applications. Non-credit for engineering and science students. All terms.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 181 [Min Grade: D]
MATH 183 Mathematical Analysis III 3.0 Credits
Covers limits, rates of change, derivatives, applications of differentiation, exponential and logarithmic functions, integrals, techniques of integration, applications of integration. Non-credit for engineering and science students. All terms.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 182 [Min Grade: D]
MATH 200 Multivariate Calculus 4.0 Credits
Vectors, curves, partial derivatives, gradient, constrained optimization, coordinate system, multiple integrals, and applications.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 122 [Min Grade: D]
MATH 201 Linear Algebra 4.0 Credits
Systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality, diagonalization, applications.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 121 [Min Grade: D]
MATH 205 Survey of Geometry 3.0 Credits
Axiomatic approach to geometry: plane geometry, transformational geometrics, and an introduction to classical non-Euclidean geometries. Includes experimental approaches using appropriate software tools.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 201 [Min Grade: D]
MATH 210 Differential Equations 4.0 Credits
Covers solution methods and properties for scalar and vector differential equations. Topics include linear and nonlinear equations, numerical methods, partial differential equations, separation of variables, and transform methods.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 200 [Min Grade: D] and MATH 201 [Min Grade: D]
MATH 220 Introduction to Mathematical Reasoning 3.0 Credits
A transition course that develops the reasoning skills necessary for later courses. Emphasizes writing and presentation skills. Topics taken from set theory, logic, induction, relations, functions, and properties of the real number system.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
MATH 221 Discrete Mathematics 3.0 Credits
Elementary set theory, combinatorics, elementary number theory, graphs, and special topics chosen from formal language theory, graph algorithms, coding theory, and other applications.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 220 [Min Grade: D] or CS 270 [Min Grade: D] or ECE 200 [Min Grade: D]
MATH 235 Math Competition Problem Solving Seminar 0.5-4.0 Credits
Problems from math competitions (such as the Putnam exam) are solved by students in this course.This course may be repeated four times for credit as topics vary.
Repeat Status: Can be repeated 4 times for NaN credits
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 200 [Min Grade: D]
MATH 238 History of Mathematics 3.0 Credits
This course explores the history of mathematical concepts. Both the people involved and the environment in which the developments took place will be studied. Mathematics from the time of Babylonia to the present will be discussed. The presentation will take a thematic approach, which may vary each term.
Repeat Status: Not repeatable for credit
MATH 239 Mathematics for the Life Sciences 4.0 Credits
A broad survey of mathematical topics that are fundamental for application in the life science: multivariate calculus, differential equations, elementary probability. Emphasis on application.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 102 [Min Grade: D]
MATH 261 Linear Algebra 3.0 Credits
Covers matrix arithmetic systems of linear equations, including vector spaces, coordinate systems, determinants, characteristic value problems, and Euclidean spaces, and application to quadratic forms and linear differential equations. Problems from engineering and science will be solved using applications such as MATLAB during the lab.
Repeat Status: Not repeatable for credit
Restrictions: Can enroll if classification is Freshman.
Prerequisites: MATH 122 [Min Grade: D]
MATH 262 Differential Equations 3.0 Credits
Covers solutions of first-order equations, undetermined coefficient and variation of parameter methods of solution of higher order linear equations, systems of equations, and Laplace transform. Problems from engineering and science will be solved using applications such as MATLAB during the lab.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 261 [Min Grade: D]
MATH 279 Special Topics in Mathematics 12.0 Credits
Covers topics in pure or applied mathematics. Different topics may be considered in different quarters.
Repeat Status: Can be repeated multiple times for credit
Restrictions: Cannot enroll if classification is Freshman
MATH 285 Differential Equations II 3.0 Credits
College/Department: College of Arts and Sciences
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 210 [Min Grade: D]
MATH 286 Applied Differential Equations 3.0 Credits
Reviews basic methods, including applications to electric circuits, chemical mixtures, mechanics, and motion problems. Introduces partial differential equations. Spring. Alternate years.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 285 [Min Grade: D]
MATH 291 Complex and Vector Analysis for Engineers 4.0 Credits
Complex and Vector Analysis for Engineers. Covers gradient, divergence, and curl; integral theorems curvilinear coordinates, complex differentiation and integration, Cauchy's Theorem, power series, residues and applications.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 200 [Min Grade: D] and PHYS 102 [Min Grade: D]
MATH 300 Numerical Analysis I 4.0 Credits
The course covers polynomial and trigonometric interpolation, splines, numerical linear algebra, numerical quadrature, solutions of nonlinear equations, and nonlinear optimization. The course emphasizes computational solutions.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 200 [Min Grade: D] and MATH 201 [Min Grade: D] and (CS 171 [Min Grade: D] or CS 123 [Min Grade: D])
MATH 301 Numerical Analysis II 3.0 Credits
A continuation of MATH 300. This course focuses on time dependent problems. It includes numerical solution of ordinary differential equation, the heat and wave equations, and moving interfaces. The discussed techniques include implicit schemes or ODEs, finite differences, spectral methods and the level set method.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 300 [Min Grade: D]
MATH 305 Introduction to Optimization Theory 4.0 Credits
Provides a broad survey of mathematical techniques in optimization theory used in operations research and management science. Includes topics selected from the following categories: linear programming, integer programming, network flows, and nonlinear programming.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 201 [Min Grade: D]
MATH 310 Probability and Statistics 4.0 Credits
Not open to mathematics or computer science majors. Covers probability, probability distribution of discrete and continuous random variables, moment-generating functions, distribution of sample statistics, estimation and statistical tests, tests for goodness of fit, and regression analysis.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if major is CS or major is MATH or classification is Freshman
Prerequisites: MATH 200 [Min Grade: D]
MATH 311 Probability and Statistics I 4.0 Credits
Covers sample spaces, axioms and theorems of elementary probability, random variables, distributions and expectation, mean, variance, moment-generating functions, Chebyshev's inequality, law of large numbers, and central limit theorem.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 200 [Min Grade: D]
MATH 312 Probability and Statistics II 4.0 Credits
Covers estimation, consistency, unbiasedness, maximum likelihood, confidence intervals, hypothesis testing, Type I and Type II errors, Neyman Pearson lemma, likelihood ratio tests, and tests for means and variances.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 311 [Min Grade: D]
MATH 316 Mathematical Applications of Symbolic Software 3.0 Credits
Mathematical Applications of Symbolic Software. Topics from calculus are investigated via complex problems requiring the use of symbolic mathematical software, primarily Maple. Numerical, graphical, and algebraic approaches are integrated. Limits, derivatives, root-finding, integration, and infinite series are explored in this context.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 123 [Min Grade: D] and MATH 200 [Min Grade: D]
MATH 318 [WI] Mathematical Applications of Statistical Software 3.0 Credits
Mathematical Applications of Statistical Software. Applications of modern statistical technologies and software, such as SAS, are used to describe and analyze data. Some topics covered are data management, collecting data, inferences for single and multiple population means, proportions count data, regression, correlation and nonparametric statistical methods. This is a writing intensive course.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 310 [Min Grade: D] or MATH 312 [Min Grade: D]
MATH 319 Techniques of Data Analysis 4.0 Credits
An applied course that considers the acquisition, analysis, visualization, and presentation of data. Emphasizes computation.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 318 [Min Grade: D]
MATH 320 Actuarial Mathematics 3.0 Credits
Covers probability in a risk management context. Univariate probability distribution including binomial, negative binomial, Poisson, uniform, exponential, normal, lognormal, Pareto, and Weibull distributions. Multivariate distributions including conditional and marginal probability distributions, joint moment generating functions, probability and moments for linear combinations of independent random variables and related topics.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 311 [Min Grade: D]
MATH 321 Vector Calculus 4.0 Credits
Covers vector algebra; gradient, divergence, curl, and curvilinear coordinates; Green's theorem, divergence theorem, and Stokes' theorem; and applications.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 200 [Min Grade: D] and MATH 201 [Min Grade: D]
MATH 322 Complex Variables 4.0 Credits
Introduces functions of one complex variable. Topics include the basic properties of analytic functions, power series, integration, residues and poles, and conformal mapping with applications.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 210 [Min Grade: D]
MATH 323 Partial Differential Equations 4.0 Credits
Covers basic concepts and solution techniques for the standard partial differential equations of mathematical physics.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 210 [Min Grade: D]
MATH 331 Abstract Algebra I 4.0 Credits
Covers theory of groups, homomorphism and isomorphism, theory of rings, integral domains, ideals, unique factorization, and theory of fields.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: (MATH 220 [Min Grade: C-] or CS 270 [Min Grade: C-]) and (MATH 201 [Min Grade: D] or MATH 261 [Min Grade: D] or ENGR 231 [Min Grade: D])
MATH 332 Abstract Algebra II 3.0 Credits
Covers further topics in abstract algebra, including canonical decomposition of linear transformation, bilinear forms, multilinear algebra and determinants, finite fields, and selected short subjects.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 331 [Min Grade: C-]
MATH 382 Advanced Calculus 3.0 Credits
College/Department: College of Arts and Sciences
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
MATH 387 Linear Algebra II 3.0 Credits
Covers linear transformations, including kernel and range; eigenvalues and eigenvectors; diagonalization of symmetric matrices; and application to differential equations, quadratic forms, and Markov chains. Fall.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: or MATH 201 [Min Grade: D], MATH 261 [Min Grade: D] or MATH 201 [Min Grade: D]
MATH 401 Elements of Modern Analysis I 3.0 Credits
Covers the real number system, elementary topology, limits, infinite series, continuity, derivatives, and the Riemann integral.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: (MATH 220 [Min Grade: C-] or CS 270 [Min Grade: C-]) and (MATH 201 [Min Grade: D] or MATH 261 [Min Grade: D] or ENGR 231 [Min Grade: D]) and MATH 200 [Min Grade: D]
MATH 402 Elements of Modern Analysis II 3.0 Credits
Covers continuation of integration theory, improper integrals, sequences and series, power series, and uniform convergence.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 401 [Min Grade: C-]
MATH 410 Scientific Data Analysis I 3.0 Credits
Fundamental principles and applications of statistics for scientific data analysis. Topics include data exploration, principles of probability distributions, Central Limit Theorem, hypothesis testing, z, t and F tests, one-way analysis of variance, linear regression, and contingency table analysis. Programming statistical applications in R will be included.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 122 [Min Grade: D] or MATH 239 [Min Grade: D]
MATH 411 Scientific Data Analysis II 3.0 Credits
Scientific data analysis and experimental design. Topics include multiple regression and model selection, nonlinear and logistic regression, analysis of covariance, multi-factor analysis of variance, nested, factorial and repeated measures experimental designs, random effects, and introduction to bootstrap methods and randomization tests. Programming statistical applications in R will be included.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 410 [Min Grade: C-]
MATH 422 Introduction to Topology 4.0 Credits
Covers topological space, metric spaces, function, continuity, compactness, and connectedness.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 200 [Min Grade: D] or MATH 201 [Min Grade: D]
MATH 449 Mathematical Finance 3.0 Credits
This course is an introduction to the mathematics of finance. The main topics include: fixed income mathematics (duration, convexity, compounding conventions, immunization of bond portfolios, yield curve stripping), foundations of the arbitrage theory (pricing of futures and forwards, swaps, put/call parity) and introduction to stochastic derivative pricing (Black-Scholes and beyond).
Repeat Status: Not repeatable for credit
Prerequisites: MATH 311 [Min Grade: D]
MATH 450 Introduction to Graph Theory 3.0 Credits
Introduction to Graph Theory. Topics covered include paths and cycles, Eulerian graphs, Hamiltonian graphs, trees, matching, coloring, planarity, and some additional topics in special graphs such as interval graphs.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 201 [Min Grade: D] and MATH 221 [Min Grade: D]
MATH 475 Cryptography 3.0 Credits
Classic cryptosystems, elementary number theory, RSA, ElGamal, discrete logarithms, digital signatures, plus a special topic selected from elliptic curves, information theory, and quantum cryptography.
Repeat Status: Not repeatable for credit
Prerequisites: MATH 201 [Min Grade: D] and MATH 311 [Min Grade: D]
MATH 480 Special Topics in Mathematics 12.0 Credits
Covers topics in Mathematics of interest to students or faculty. Different topics may be considered during different quarters.
Repeat Status: Can be repeated multiple times for credit
MATH 483 Discrete Event Simulation 3.0 Credits
Covers system simulation, Monte Carlo methods, discrete event modeling techniques, queuing models, programming considerations, statistical definitions and concepts, random number generation, output analysis, and design of computer experiments. Spring.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 385 [Min Grade: D]
MATH 489 Tensor Analysis 3.0 Credits
Covers tensor algebra, including coordinate transformations, fundamental quadratic form, covariant and contravariant tensors, Riemannian metric, and applications. Elective. Spring. Alternate years.
Repeat Status: Not repeatable for credit
Restrictions: Cannot enroll if classification is Freshman
Prerequisites: MATH 381 [Min Grade: D]
MATH 497 Independent Study in Mathematics 0.5-12.0 Credits
Provides supervised study of selected topics in mathematics.
Repeat Status: Can be repeated multiple times for credit
Restrictions: Cannot enroll if classification is Freshman
MATH 498 Special Topics 12.0 Credits
College/Department: College of Arts and Sciences
Repeat Status: Can be repeated multiple times for credit
MATH 499 Independent Study in Mathematics 6.0 Credits
College/Department: College of Arts and Sciences
Repeat Status: Can be repeated multiple times for credit
