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UW Seattle Course Descriptions
UW Tacoma Course Descriptions
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STMATH 113 Calculus I: Stretch I (5) NSc, RSN
First course in a two-course sequence that studies the development of differential calculus, including just-in-time review of Precalculus and algebra topics including, but not limited to, simplifying algebraic and exponential expressions, and solving algebraic equations. The course starts with limits, continuity, and the definition of derivative. Emphasizes differentiation techniques and their applications, focusing on algebraic functions. Course overlaps with: B MATH 144; STMATH 124; MATH 112; MATH 124; TMATH 122; and TMATH 124. Prerequisite: either a minimum grade of 2.5 in B MATH 123, a minimum grade of 2.5 in MATH 120, or a minimum score of 350 on the MTHDSP directed self-placement test. Offered: AW.
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STMATH 114 Calculus I: Stretch II (5) NSc, RSN
Second course in a two-course sequence that studies the development of differential calculus, including just-in-time review of Precalculus and algebra topics including, but not limited to, simplifying expressions and solving equations involving logarithmic, exponential, and trigonometric functions. Emphasizes differentiation techniques and their applications, focusing on transcendental functions. Course overlaps with: B MATH 144; STMATH 124; MATH 112; MATH 124; TMATH 122; and TMATH 124. Prerequisite: a minimum grade of 2.0 in STMATH 113. Offered: WSp.
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STMATH 124 Calculus I (5) NSc, RSN
Studies the development of differential calculus, starting with limits, continuity, and the definition of derivative. Emphasizes differentiation techniques and their applications. Course equivalent to: MATH 124 and TMATH 124. Course overlaps with: B MATH 144; STMATH 113; STMATH 114; MATH 112; and TMATH 122. Prerequisite: either a minimum grade of 2.5 in B MATH 123 or MATH 120, a minimum score of 500 on the MTHDSP directed self-placement test, or a score of 154-163 on the MPT-AS placement test. Offered: AWSpS.
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STMATH 125 Calculus II (5) NSc
Integration theory and techniques with applications in science and engineering. Cannot be taken for credit if credit has already been earned for MATH 207. Course equivalent to: MATH 125 and TMATH 125. Prerequisite: a minimum grade of 2.0 in either STMATH 124 or MATH 124, a minimum score of 3 on the AP MAB exam, or a minimum score of 3 on the AP MBC exam. Offered: AWSpS.
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STMATH 126 Calculus III (5) NSc
Studies sequences and series, including convergence tests and Taylor polynomials and series, as well as the calculus of curves in the plane and space described in polar, parametric, or vector-valued form. Course equivalent to: MATH 126 and TMATH 126. Course overlaps with: MATH 136. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125, or a minimum score of 4 on AP MBC exam. Offered: AWSpS.
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STMATH 207 Introduction to Differential Equations (5) NSc
Introduces ordinary differential equations. Includes first-and second-order equations and Laplace transform. Course overlaps with: MATH 207 and TMATH 207. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125.
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STMATH 208 Matrix Algebra with Applications (5) NSc
Introduces linear algebra, including systems of linear equations, Gaussian elimination, matrices and matrix algebra, vector spaces, subspaces of Euclidean space, linear independence, bases and dimension, orthogonality, eigenvectors, and eigenvalues. Applications include data fitting and the method of least squares. Course overlaps with: MATH 208 and TMATH 207. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125.
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STMATH 224 Multivariable Calculus (5)
Introduction to the concepts and computation techniques of multivariable calculus, including partial derivative, the chain rule, double and triple integrals, vector fields, line integrals, surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. Prerequisite: a minimum grade of 2.0 in either STMATH 126 or MATH 126. Offered: AWSpS.
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STMATH 300 Foundations of Modern Math (5) RSN
Introduces students to mathematical argument and to reading and writing proofs. Develops elementary set theory, examples of relations, functions and operations on functions, the principle of induction, counting techniques, elementary number theory, and combinatorics. Places strong emphasis on methods and practice of problem solving. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125; and a minimum grade of 2.0 in either B WRIT 133, B WRIT 134, or ENGL 131.
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STMATH 301 Introduction to Professional Mathematics (5)
This course will focus on developing career awareness and readiness as well as fostering community in the major. Topics include: mathematical writing and typesetting; mathematics and career presentations; diversity, equity, and inclusion challenges in the mathematical sciences; ethics in the mathematical sciences; introduction to mathematical software; career exploration and development of portfolios. Prerequisite: STMATH 300, which may be taken concurrently; and a minimum grade of 2.0 in either B WRIT 133, B WRIT 134, or ENGL 131. Offered: ASp.
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STMATH 310 Mathematical Game Theory (5)
Covers mathematical aspects of Game Theory, including symmetric and asymmetric games, zero-sum and non-zero-sum games, mixed and pure strategies, equilibria, and strategic moves. Examines examples from several disciplines including anthropology, philosophy, business, social psychology, and biology. Course overlaps with: B BECN 469. Prerequisite: a minimum grade of 2.0 in either STMATH 124 or MATH 124.
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STMATH 330 Financial Mathematics (5)
An introduction to the concepts of financial mathematics, and how they are applied in calculating
present and accumulated values for various streams of cash flows, as a basis for future use in: reserving; valuation; pricing; asset/liability management; investment income; capital budgeting; and valuing contingent cash flows. Course overlaps with: B BUS 350; FIN 350; FIN 461; FIN 466; and T BUS 350. Prerequisite: a minimum grade of 2.0 in STMATH 125.
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STMATH 341 Introduction to Statistical Inference (5) RSN
Stochastic concepts including probabilistic underpinnings of statistics, measures of central tendency, variability, correlation, distributions, sampling, and simulation. Exploratory data analysis including experiments, surveys, measures of association and inferential statistics. Prerequisite: a minimum grade of 2.0 in either STMATH 124, B MATH 144, or MATH 124.
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STMATH 350 Applied Number Theory and Cryptography (5)
Introduces number theory, including divisibility, primes, the Euclidean algorithm, modular arithmetic, Fermat's Little Theorem, and the fast power method. Emphasizes applications in cryptography, including Diffie-Hellman key exchange, public key cryptography, the ElGamal and RSA cryptosystems, and elementary elliptic curve techniques. Prerequisite: a minimum grade of 2.0 in STMATH 208.
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STMATH 381 Discrete Mathematical Modeling (5)
Introduction to methods of discrete mathematics, including topics from graph theory, network flows, and combinatorics. Emphasis on these tools to formulate models and solve problems arising in variety of applications, such as computer science, biology, and management science. Prerequisite: a minimum grade of 2.0 in either STMATH 208 or MATH 208; and a minimum grade of 2.0 in either CSE 122, CSE 142, CSS 142, CSS 161, or AMATH 301.
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STMATH 390 Probability and Statistics in Engineering (5) NSc, RSN
Covers concepts of probability and statistics; conditional probability, independence, random variable, and distribution functions; descriptive statistics, transformations, sampling errors, confidence intervals, least squares, and maximum likelihood; and exploratory data analysis and interactive computing. Course equivalent to: TMATH 390. Course overlaps with: STMATH 341; Q SCI 381; STAT 390; and TME 351. Prerequisite: a minimum grade of 2.0 in either STMATH 224 or MATH 224. Offered: AWSp.
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STMATH 392 Probability (5)
Introduction to probability theory including combinatorial analysis, conditional probability, independence, and random variables. Conditional expectation including its use in prediction, moment-generating functions, and the multivariate normal distribution. Theoretical results in probability theory such as the strong law of large numbers and the central limit theorem. Prerequisite: a minimum grade of 2.0 in STMATH 224; recommended: B BUS 220 if enrolled in the Actuarial Science Minor. Offered: W.
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STMATH 402 Abstract Algebra I (5)
Introduction to group theory. Emphasizes examples, including cyclic, dihedral, and symmetric groups. Theoretical concepts include: Cosets and Lagrange's theorem; direct products; homomorphisms, normal subgroups, quotient groups, and the fundamental isomorphism theorems; orders and Cauchy's theorem; and the structure of finitely-generated abelian groups. Prerequisite: a minimum grade of 2.0 in either STMATH 300 or MATH 300; and a minimum grade of 2.0 in either STMATH 208 or MATH 208.
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STMATH 403 Abstract Algebra II (5) RSN
Introduction to the theory of rings and fields, including ideals, homomorphisms, quotient rings, integral domains and their fields of fractions, polynomial rings, field extensions, vector spaces, geometric constructions via straight-edge and compass, the classification of finite fields, unique factorization domains, and Euclidean domains. Prerequisite: a minimum grade of 2.0 in either STMATH 402 or MATH 402.
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STMATH 405 Numerical Analysis I (5)
Methods and theory for numerically solving systems of equations, both linear and nonlinear. Topics include numerical error, stability and conditioning, root finding, direct and iterative methods for linear systems, linear least squares, eigenvalue problems, and nonlinear systems. Prerequisite: minimum grade of 2.0 in STMATH 208 or MATH 208; minimum grade of 2.0 in STMATH 126 or MATH 126; and one of the following: (1) minimum grade of 2.0 in CSE 122 or CSE 142; (2) minimum grade of 2.0 in either both CSS 123 and CSSSKL 123, both CSS 132 and CSSSKL 132, or both CSS 142 and CSSSKL 142.
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STMATH 406 Numerical Analysis II (5)
Methods and theory for numerically approximating functions, their integrals and derivatives, and solutions to ODEs. Topics include polynomial and piecewise polynomial interpolation, the Fourier transform, numerical differentiation and integration, and approximate solution of ODEs using Euler and Runge-Kutta methods. Course overlaps with: CSS 455. Prerequisite: a minimum grade of 2.0 in STMATH 207; and a minimum grade of 2.0 in STMATH 405.
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STMATH 407 Linear Programming (5)
Maximize and minimize linear functions subject to constraints consisting of linear equations and inequalities. Define linear optimization models from problem description. Solve linear programming problems using the simplex method. Conduct duality and sensitivity analysis for linear programming. Prerequisite: minimum grade of 2.0 in STMATH 208 or MATH 208; minimum grade of 2.0 in STMATH 126 or MATH 126; and one of the following: (1) minimum grade of 2.0 in CSE 122 or CSE 142; (2) minimum grade of 2.0 in either both CSS 123 and CSSSKL 123, both CSS 132 and CSSSKL 132, or both CSS 142 and CSSSKL 142.
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STMATH 408 Nonlinear Optimization (5) RSN
Maximize and minimize nonlinear functions, constrained and unconstrained; nonlinear programming problems and methods. Topics include: Lagrange multipliers, Kuhn-Tucker conditions, convexity, quadratic programming, steepest-descent method, and Newton and quasi-Newton methods. Prerequisite: a minimum grade of 2.0 in either STMATH 224 or MATH 224; a minimum grade of 2.0 in STMATH 300; and a minimum grade of 2.0 in STMATH 405.
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STMATH 409 Advanced Linear Algebra (5)
A mathematically rigorous treatment of vector spaces; linear transformations and matrices; matrix operations and linear systems; determinants; eigenvalues, eigenvectors, and diagonalization; canonical forms; and special matrices including permutation and nonnegative matrices. Course overlaps with: MATH 340. Prerequisite: a minimum grade of 2.0 in STMATH 402.
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STMATH 420 History of Mathematics (5) NSc, RSN
Surveys the historical development of mathematics from its earliest beginnings, through the emergence of calculus, and into the early 20th century. Prerequisite: a minimum grade of 2.0 in either STMATH 126 or MATH 126; and a minimum grade of 2.0 in either STMATH 300 or MATH 300.
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STMATH 424 Real Analysis I (5)
Introduces real analysis, with a focus on the theoretical development of single-variable calculus, including topics from the following: Countable and uncountable sets, field axioms and completeness, topology of the real numbers, sequences and convergence, Cauchy sequences, monotone sequences, subsequences, limits of functions, continuity and uniform continuity, the derivative, Mean Value Theorem, L'Hospital's Rule, and Taylor's Theorem. Course overlaps with: MATH 327; MATH 424; and TMATH 424. Prerequisite: a minimum grade of 2.0 in STMATH 300 or MATH 300. Offered: AW.
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STMATH 425 Real Analysis II (5)
Focuses on the theoretical development of single-variable calculus. Includes topics from the following: the derivative, Mean Value Theorem, L'Hospital's Rule, Taylor's Theorem, the Riemann integral, Fundamental Theorem of Calculus, convergence of series, tests of convergence of series, power series, pointwise and uniform convergence of sequences of functions, uniform convergence of power series. Course overlaps with: MATH 424; MATH 425; and TMATH 425. Prerequisite: a minimum grade of 2.0 in STMATH 424. Offered: W, odd years.
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STMATH 427 Complex Analysis (5)
Complex numbers; analytics functions; sequences and series; complex integration; Cauchy integral formula; Taylor and Laurent series; uniform convergence; residue theory; conformal mapping. Course overlaps with: MATH 427 and TMATH 427. Prerequisite: a minimum grade of 2.0 in either STMATH 300 or MATH 300; and a minimum grade of 2.0 in either STMATH 224 or MATH 224.
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STMATH 441 Topology (5)
Topological spaces, product spaces, quotient spaces, metric spaces, convergence, continuity, separation and countability axioms, connectedness, and compactness. Course overlaps with: MATH 441. Prerequisite: Minimum grade of 2.0 in STMATH 424.
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STMATH 444 Foundations of Geometry (5)
Studies classical geometry, including topics from neutral geometry of the triangle, non-neutral Euclidean geometry, spherical geometry, hyperbolic geometry, projective geometry, and symmetries. Emphasizes proof writing. Prerequisite: a minimum grade of 2.0 in either STMATH 300 or MATH 300.
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STMATH 465 Fostering Algebraic Reasoning (5) NSc, RSN
Focuses on methods of teaching algebra from a developmental perspective, including research-based methods for developing students' algebraic thinking and structure and processes used in algebra. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125. Offered: jointly with B EDUC 465.
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STMATH 466 Fostering Geometric Thinking (5) NSc, RSN
Focuses on methods of teaching geometry from a developmental perspective, including research-based methods for developing students' geometric thinking and structure and processes used in geometry including proof. Prerequisite: minimum grade of 2.0 in STMATH 125 or Math 125. Offered: jointly with B EDUC 466.
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STMATH 467 Fostering Statistical Thinking, Data, and Graphical Analysis (5) NSc, RSN
Focuses on methods of teaching data and graphical analysis and statistical thinking from a developmental perspective, including how to foster secondary students' statistical thinking, and using technological tools to teach key concepts in secondary mathematics using big data sets, graphical analysis, and dynamic visualization. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125. Offered: jointly with B EDUC 467.
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STMATH 493 Special Topics in Mathematics (1-5, max. 15)
Covers special topics in advanced mathematics in a classroom setting not currently taught in the mathematics curriculum. Prerequisite: a minimum grade of 2.0 in either STMATH 300 or MATH 300.
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STMATH 498 Independent Study in Mathematics (1-5, max. 15)
Advanced special topic in mathematics. Topic guided by an articulated need or interest and not covered in regularly scheduled courses. Course equivalent to: MATH 498.
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STMATH 499 Undergraduate Research in Mathematics (1-5, max. 5)
Undergraduate research project agreed upon by student and a mathematics faculty member. This course is intended to produce a quality research artifact (e.g., a poster presentation, a research article, a conference presentation, etc.). Cannot be taken if credit received for either MATH 399 or MATH 499.
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