Glossary
UW Bothell Course Descriptions
UW Seattle Course Descriptions
Detailed course offerings (Time Schedule) are available for
TMATH 098 Intermediate Algebra (0)
Intermediate algebra equivalent to third semester of high school algebra. Extra tuition required. Prerequisite: a minimum score of 250 on the UWT modified placement test based on ACC-QAS, or a minimum score of 100 on the Tacoma Directed Self Placement Math Test.
View course details in MyPlan: TMATH 098
TMATH 105 Mathematics Through Puzzles and Games (5) RSN
By engaging with puzzles and games, students will gain real-life problem solving and modeling skills. Develops reasoning skills through the precise formulation, expression and communication of ideas. No specialized mathematical skills required.
View course details in MyPlan: TMATH 105
TMATH 106 Spatial and Geometric Reasoning (5) RSN
Develops geometric intuition, problem-solving skills, and the ability to communicate ideas and solutions with elementary mathematics precisely. Emphasizes spatial, geometric, and logical thinking along with the precise formulation of statements rather than mathematical formulae and theorems. No specialized mathematical skills required.
View course details in MyPlan: TMATH 106
TMATH 109 Financial and Mathematical Foundations (5) RSN
Interprets everyday financial events using quantitative and algebraic reasoning and models. Students study graphs and equations of linear, exponential, and logarithmic functions with a focus on personal finance while practicing decision making and problem-solving. Topics may include, budgeting, loans, credit cards, taxes, installment buying, mortgages, depreciation and investing. Prerequisite: a minimum score of 250 on the UWT modified placement test based on ACC-QAS, or a minimum score of 100 on the Tacoma Directed Self Placement Math Test.
View course details in MyPlan: TMATH 109
TMATH 110 Introductory Statistics with Applications (5) NSc, RSN
Addresses introductory statistical concepts and analysis in modern society. Includes descriptive statistics, graphical displays of data, the normal distribution, data collection, probability, elements of statistical inference, hypothesis testing, and linear regression and correlation. Practical examples used to demonstrate statistical concepts. Prerequisite: a minimum grade of 2.0 in either TMATH 098, MATH 098, TMATH 109, TMATH 172, TMATH 124, or MATH 124, a minimum score of 237 on the UWT modified placement exam based on the ACC-AAF exam, or a minimum score of 200 on the Tacoma Directed Self Placement Math Test.
View course details in MyPlan: TMATH 110
TMATH 115 Pre-calculus I: Functions (5) RSN
Introduces the concept of a function, its notation, and prepares student to work with piece-wise, exponential, logarithmic, polynomial, and rational functions. Emphasizes computational skills, graph reading, and problem solving. One of a two-part series. Maximum of 10 credits from TMATH 115, TMATH 116, and TMATH 120 may be counted. Prerequisite: a minimum grade of 2.0 in either TMATH 098, MATH 098, TMATH 109, or TMATH 171, a minimum score of 237 on the UWT modified placement test based on ACC-AAF, or a minimum score of 300 on the Tacoma Directed Self Placement Math Test.
View course details in MyPlan: TMATH 115
TMATH 116 Pre-calculus II: Trigonometry (5) NSc, RSN
Continues studying the concept of a function, its notation, and trigonometric and inverse trigonometric functions. Introduces parametrized curves, polar coordinates, and complex numbers. Emphasizes computational skills, graph reading, and problem solving techniques. Second of a two-part series. Maximum of 10 credits from TMATH 115, TMATH 116, and TMATH 120 may be counted. Prerequisite: a minimum grade of 2.0 in TMATH 115, a minimum score of 263 on the ACC-AAF placement test, or a minimum score of 400 on the Tacoma Directed Self Placement Math Test.
View course details in MyPlan: TMATH 116
TMATH 120 Precalculus (5) NSc, RSN
Accelerated review course covering the contents of TMATH 115 and TMATH 116 in one term. Examines functions and function notation including polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions. Recommended co-requisite: TMATH 158. Prerequisite: a minimum grade of 2.0 in TMATH 098 or TMATH 171, a score of 42-120 on the ACC-CL placement test, a minimum score of 263 on the ACC-AAF placement test, or a minimum score of 400 Tacoma Directed Self Placement Math Test.
View course details in MyPlan: TMATH 120
TMATH 124 Calculus with Analytic Geometry I (5) NSc, RSN
Emphasizes differential calculus. First quarter in calculus of functions of a single variable. Emphasizes applications and problem solving using the tools of calculus. Prerequisite: a minimum grade of 2.0 in either TMATH 116 or TMATH 120, minimum score of 68 on the MPT-A, minimum score of 75 on the MATHEC test, minimum score of 2 on the AP MATH test (AB or BC), minimum score of 276 on the ACC-AAF test, or a minimum score of 500 on the Tacoma Directed Self Placement Math Test; recommended: Recommended co-requisite: TMATH 159. Offered: AWSpS.
View course details in MyPlan: TMATH 124
TMATH 125 Calculus with Analytic Geometry II (5) NSc
Second quarter in the calculus of functions of a single variable. Emphasizes integral calculus. Emphasizes applications and problem solving using the tools of calculus. Prerequisite: either a minimum grade of 2.0 in TMATH 124, or a minimum score of 3 on the AP MATH test (AB or BC).
View course details in MyPlan: TMATH 125
TMATH 126 Calculus with Analytic Geometry III (5) NSc
Third quarter in calculus sequence. Sequences, series, Taylor expansions, and an introduction to multivariable differential calculus. Prerequisite: either a minimum grade of 2.0 in TMATH 125 or a score of 4 on AP MATH BC exam.
View course details in MyPlan: TMATH 126
TMATH 158 Pre-Calculus Collaborative Learning Seminar (1, max. 2)
Enhances problem-solving skills for pre-calculus by having students work with a facilitator to strengthen their skills in critical thinking via group problem sessions in pre-calculus and its applications. Prerequisite: TMATH 120, which must be taken concurrently Credit/no-credit only.
View course details in MyPlan: TMATH 158
TMATH 159 Calculus I Collaborative Learning Seminar (1, max. 3)
Enhances problem-solving skills for Calculus I by having students work with a facilitator to strengthen their skills in critical thinking via group problem sessions on Calculus I topics and applications. Prerequisite: TMATH 124, which must be taken concurrently. Credit/no-credit only.
View course details in MyPlan: TMATH 159
TMATH 160 Calculus II Collaborative Learning Seminar (1, max. 3)
Enhances problem-solving skills for Calculus II by having students work with a facilitator to strengthen their skills in critical thinking via group problem sessions on Calculus II topics and applications. Prerequisite: TMATH 125, which must be taken concurrently. Credit/no-credit only.
View course details in MyPlan: TMATH 160
TMATH 171 Mathematics for Teachers I: Number Systems and Algebraic Concepts (5) RSN
Aimed at students planning to be elementary/middle school teachers, but any student interested in exploring essential mathematical concepts, skills, and representations in a humanized way may benefit. Topics include number, algebraic relationships, algorithms and why they work. We will also explore mathematical connections to our identities as math learners.
View course details in MyPlan: TMATH 171
TMATH 172 Mathematics for Teachers II: Statistics and Modeling (5) RSN
Aimed at students planning to be elementary/middle school teachers, but any student interested in exploring essential mathematical concepts, skills, and representations in a humanized way may benefit. Topics include statistics, probability, and mathematical modeling. We will also explore mathematical connections to our identities as math learners.
View course details in MyPlan: TMATH 172
TMATH 173 Mathematics for Teachers III: Geometry and Measurement (5) RSN
Aimed at students planning to be elementary/middle school teachers, but any student interested in exploring essential mathematical concepts, skills, and representations in a humanized way may benefit. Topics include geometry, measurement, and the mathematics of art. We will also explore mathematical connections to our identities as math learners.
View course details in MyPlan: TMATH 173
TMATH 207 Introduction to Differential Equations (5) NSc, RSN
Explores ordinary differential equations including first- and second-order equations, Laplace transform, and systems of first-order equations. Prerequisite: minimum grade of 2.0 in either TMATH 125 or MATH 125.
View course details in MyPlan: TMATH 207
TMATH 208 Matrix Algebra with Applications (5) NSc, RSN
Introduces linear algebra, including systems of linear equations; Gaussian elimination; matrices and matrix algebra; vectors; vector spaces; subspace of Euclidean space; linear independence; bases and dimension; orthogonality; eigenvectors; and eigenvalues. Applications include data fitting and the method of least squares. Prerequisite: minimum grade of 2.0 in either TMATH 125 or TCSS 321.
View course details in MyPlan: TMATH 208
TMATH 210 Intermediate Statistics with Applications (5) NSc, RSN
Investigates intermediate concepts of statistical inference and testing using statistical software for analysis. Includes sampling and experimental design, t-tests, discrete distributions, proportions, ANOVA, regression, transformations, and chi-squared tests. Analyzes datasets from a variety of disciplines such as environmental and social science. Includes critical review of contemporary studies. Prerequisite: a minimum grade of 2.0 in TMATH 110 or STAT 220. Offered: WSp.
View course details in MyPlan: TMATH 210
TMATH 300 Foundations of Mathematical Reasoning (5) NSc, RSN
Develops skills in making mathematical arguments and writing of proofs by studying elementary set theory; functions; logical statements and quantifiers; the principle of induction; cardinality; and properties of number systems - integers, rational, real, and complex. Investigates proofs in both discrete and continuous mathematics. Prerequisite: minimum grade of 2.0 in either TMATH 125 or TCSS 321.
View course details in MyPlan: TMATH 300
TMATH 316 Financial Mathematics (5) RSN
Introduces students to fundamental concepts in financial mathematics: compound and simple interest, nominal and effective rates, present and future value, discount rates, force of interest. Covers annuities with both constant and variable cash flows, loans, amortization, loan refinancing, and bonds. Studies may also include term structure of interest rates, spot rates, arbitrage, duration, convexity, and immunization. Prerequisite: either a minimum grade of 2.0 in TMATH 126, or a minimum grade of 2.0 in TMATH 109 and a minimum grade of 2.0 in TMATH 125. Offered: W.
View course details in MyPlan: TMATH 316
TMATH 324 Multivariable Calculus (5) NSc, RSN
Introduces concepts and computation techniques of multivariable calculus; including double and triple integrals; the chain rule; vector fields; parametric curves and surfaces; line integrals; surface integrals; Green's Theorem: Stoke's Theorem; and the Divergence Theorem. Prerequisite: minimum grade of 2.0 in TMATH 126.
View course details in MyPlan: TMATH 324
TMATH 342 Applied Topology (5) RSN
Engages with varied topics which will be chosen from differential topology, knot theory, or algebraic topology. Applications (such as chemistry, physics or engineering) will be emphasized throughout the course. Prerequisite: minimum grade of 2.0 in TMATH 324.
View course details in MyPlan: TMATH 342
TMATH 344 Fundamentals of Geometry (5) NSc, RSN
Covers fundamentals of geometry. Presents an axiomatic treatment of geometry, including Euclidean and non-Euclidean geometry. Describes the role of Euclid's Fifth Postulate in development of non-Euclidean geometries. Develops student's ability to write rigorous proofs. Prerequisite: minimum grade of 2.0 in either TMATH 126 or TMATH 300.
View course details in MyPlan: TMATH 344
TMATH 350 Foundations of Mathematical Research (3) RSN
Introduces students to diverse mathematical topics through invited speakers and selected readings. Develops mathematical ways of thinking, investigating, reading, and writing. Explores future employment and graduate school options and opportunities. Co-requisite: TMATH 351. Prerequisite: either TMATH 300, TMATH 207, or TMATH 208 any of which may be taken concurrently.
View course details in MyPlan: TMATH 350
TMATH 351 Mathematics Seminar (1, max. 2)
Introduces students to mathematics and its applications, career paths for mathematics majors, and develops problem-solving skills. Prerequisite: TMATH 124.
View course details in MyPlan: TMATH 351
TMATH 390 Probability and Statistics in Engineering and Science (5) NSc, RSN
Investigates probability and statistics using exploratory data analysis and interactive computing. Study topics including conditional probability, independence, random variables, distribution functions, descriptive statistics, transformations, sampling errors, confidence intervals, least squares, and maximum likelihood. Prerequisite: a minimum grade of 2.0 in either TMATH 126 or MATH 126.
View course details in MyPlan: TMATH 390
TMATH 393 Introduction to Probability Models (5) NSc, RSN
Introduces probability modeling and stochastic processes and shows how probability theory can be applied in fields such as engineering, computer science, management science, physical sciences and operations research. Topics include Sample Space, Events, Independence, Discrete and Continuous Random Variables, Conditional Probabilities, Conditional Expectations, Markov Chains, Poisson Process, Simulations. Prerequisite: a minimum grade of 2.0 in either TMATH 208 or TMATH 308. Offered: Sp.
View course details in MyPlan: TMATH 393
TMATH 402 Introduction to Abstract Algebra I (5) NSc
Focuses on group theory with a brief introduction to rings and fields. Emphasizes proofs. Topics include cosets; Lagrange's theorem; homomorphisms; normal subgroups; quotient groups; the isomorphism theorems; cyclic and symmetric groups; Cauchy's theorem; automorphisms; and elementary properties of rings and fields. Prerequisite: minimum grade of 2.0 in TMATH 300.
View course details in MyPlan: TMATH 402
TMATH 403 Abstract Algebra II (5) NSc, RSN
Continues studying the theory of rings and fields, including ideals; homomorphisms; quotient rings; integral domains and fields of fractions; polynomial rings; vector spaces; field extensions; geometric constructions via straight-edge and compass; the classification of finite fields; unique factorization domains; and Euclidean domains. Prerequisite: minimum grade of 2.0 in TMATH 402.
View course details in MyPlan: TMATH 403
TMATH 410 Regression Modeling with Applications (5) RSN
Investigates regression models with applications; including multiple linear regression, model selection, residual analysis, variable transformations and categorical data. Studies may also include generalized linear models, nonlinear regression, matrix formulation, and mixed models. Prerequisite: either a minimum grade of 2.0 in TMATH 210 and TMATH 124, or a minimum grade of 2.0 in TMATH 390.
View course details in MyPlan: TMATH 410
TMATH 412 Cryptography: Theory and Practice (5) RSN
Covers "classical" cryptosystems and their cryptoanalysis, Shannon's approach to cryptography including entropy and perfect secrecy, block ciphers and AES. Contains RSA cryptosystem, public key cryptography based on discrete logarithms, and signature schemes. Breaks simple ciphers using a computer. Prerequisite: a minimum grade of 2.0 in either TCSS 321, TMATH 300, or TMATH 308.
View course details in MyPlan: TMATH 412
TMATH 413 Coding Theory (5) RSN
Deals with electronic communication over noisy channels where some bits of information may get corrupted. Covers using codes in designing ciphers secure in the era of quantum computers. Topics include error-detection/correction, various types of codes, and McEliece cipher. Prerequisite: a minimum grade of 2.0 in either TMATH 208 or TCSS 321.
View course details in MyPlan: TMATH 413
TMATH 420 History of Mathematics (5) SSc, RSN
Surveys the history and development of mathematics from its earliest beginnings into the early twentieth century. Focuses on the effect math discovery and literacy has had on human, social, and cultural behaviors. Prerequisite: a minimum grade of 2.0 in either TMATH 126, TMATH 207, TMATH 208, or TMATH 300.
View course details in MyPlan: TMATH 420
TMATH 424 Introduction to Real Analysis I (5) NSc, RSN
Introduces set theory; the construction of the real numbers; infima and suprema; metric spaces and Euclidean distance; topology of the reals numbers; formal treatment of limits; Cauchy sequences; continuity; uniform convergence; and the derivative. Prerequisite: minimum grade of 2.0 in TMATH 300.
View course details in MyPlan: TMATH 424
TMATH 425 Introduction to Real Analysis II (5) RSN
Provides rigorous treatment of the derivative of a function of one variable; Contraction Mapping Theorem; Riemann integral, Fundamental Theorem of Calculus, Cauchy existence criterion; sequences of functions, pointwise and uniform convergence; power series; differentiation of functions on Euclidean spaces, total derivative; and Implicit Function Theorem. Prerequisite: minimum grade of 2.0 in TMATH 424.
View course details in MyPlan: TMATH 425
TMATH 427 Complex Analysis (5) RSN
Introduces concept of Complex numbers; Power series and Complex functions; Mobius transformations; Riemann sphere; Cauchy-Riemann equations; Complex differentiation and integration; Residue theorem; Cauchy integral formula; Conformal mapping. Prerequisite: Minimum grade of 2.0 in TMATH 300 or TMATH 324.
View course details in MyPlan: TMATH 427
TMATH 450 Mathematics Capstone (4) RSN
Synthesizes mathematics studies and presentations skills in an individual or group project researching new topics or continuing beyond coursework. Includes research presentations of capstone experiences. Co-requisite: TMATH 351.
View course details in MyPlan: TMATH 450
TMATH 490 Special Topics in Quantitative Studies (1-7, max. 21) NSc, RSN
Advanced course offerings in quantitative studies designed to respond to faculty and student interests and needs.
View course details in MyPlan: TMATH 490
TMATH 495 Collaborative Mathematics Research Experience (3) RSN
Provides opportunities to complete collaborative mathematics or statistics projects within a structured course.
View course details in MyPlan: TMATH 495
TMATH 496 Mathematics Internship (1-5, max. 10)
Provides opportunity for a mathematical internship in the public or private sector with the supervision of a faculty member in mathematics or a related discipline. Prerequisite: minimum grade of 2.0 in each of TMATH 300, TMATH 307, TMATH 308, and TMATH 324. Credit/no-credit only.
View course details in MyPlan: TMATH 496
TMATH 498 Directed Readings in Mathematics (1-5, max. 10)
Allows students to engage in an in-depth study of any area of mathematics or related area under faculty supervision.
View course details in MyPlan: TMATH 498
TMATH 499 Undergraduate Research in Mathematics (1-5, max. 10) RSN
Engages students in original research in mathematics or related area under faculty supervision.
View course details in MyPlan: TMATH 499
