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College of Science & Mathematics

Applied Mathematics · APMTH

Mathematics aimed at problems in science, engineering, and industry.

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About Applied Mathematics

Mathematics aimed at problems in science, engineering, and industry. Courses carry the APMTH subject code and are offered through the College of Science & Mathematics. Numbers below 300 are introductory, 300–499 advanced undergraduate, and 500 and above graduate. Prerequisites are enforced at registration.

How the sequence works

Of the 9 APMTH courses listed, 1 is introductory (numbers under 300), 2 are advanced undergraduate (300–499). 0 courses have no prerequisite and are a reasonable first step. Later courses assume the earlier ones, so read prerequisites before you plan a term — they are enforced at registration and an override from the Applied Mathematics department is the only way around them.

APMTH 2400 — Calculus I 4 cr

Limits, derivatives, and the definite integral, with applied modeling.

Prerequisite: MATH 1400.

APMTH 2500 — Calculus II 4 cr

Integration techniques and applications, sequences, and series.

Prerequisite: APMTH 2400.

APMTH 2700 — Multivariable Calculus 4 cr

Vectors, partial derivatives, multiple integrals, and vector calculus.

Prerequisite: APMTH 2500.

APMTH 3100 — Differential Equations and Modeling 3 cr

ODEs, systems, stability, and building and testing models of real processes.

Prerequisite: APMTH 2700.

APMTH 3300 — Numerical Methods 3 cr

Error, root-finding, interpolation, numerical linear algebra, quadrature, and ODE solvers, implemented in code.

Prerequisite: APMTH 2600, CS 1100.

APMTH 3500 — Probability Models 3 cr

Random variables, distributions, expectation, Markov chains, and queuing.

Prerequisite: APMTH 2500.

APMTH 3700 — Optimization 3 cr

Linear, integer, and nonlinear programming, duality, and modeling decision problems.

Prerequisite: APMTH 2600.

APMTH 3900 — Mathematical Statistics 3 cr

Estimation, hypothesis testing, and the theory behind common procedures.

Prerequisite: APMTH 3500.

APMTH 4900 — Applied Mathematics Capstone 3 cr

A modeling project on a real problem from a partner discipline, with a written and oral report.

Prerequisite: senior standing.

Planning and advising

Your degree audit shows exactly how APMTH courses apply to your requirements; this list only shows what is offered. If you are choosing between two courses, deciding when to take a heavy one, or wondering whether a course will run next term, your academic adviser or the Applied Mathematics program office can tell you. Course availability by term is set close to registration and is not guaranteed by anything on this page.

Fictional information

UW–Porter Falls is a work of parody. Every course, prerequisite, credit value, and department on this page is invented; nothing here describes a real curriculum or a course you can enroll in.