MATH 3737 A (CRN: 93436)

Mathematics: Intro to Numerical Analysis

3 Credit Hours—Section is Full.

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About MATH 3737 A

Error analysis, root-finding, interpolation, least squares, quadrature, linear equations, numerical solution of ordinary differential equations. Prerequisites: MATH 2248; MATH 2522, MATH 2544, or MATH 3201; CS 1210. Cross-listed with: CS 3737.

Notes

Prereqs enforced by the system: MATH 2248 and (MATH 2522 or 2544 or 3201) and CS 1210; Open to Degree and PACE students; Cross listed with CS 3737 A; Colocated with MATH 5737 A and CS 5737 A; Total combined enrollment: 35

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Section Description

This course introduces students to numerical analysis through exposure to the algorithms of scientific computation. The tools of linear algebra and calculus behave differently on computers than on paper, owing to finite precision and truncated limits. Topics include methods for analyzing algorithmic complexity and error propagation, machine precision, root finding, fitting models to data through interpolation and least squares, numerical linear algebra, singular value decomposition, finite difference approximations, and numerical integration of differential equations. All material is motivated through applications found in science, engineering, physics, and complex systems.

Section Expectation

The course is mainly lecture based, with interaction taking place outside of the class through a course twitter account and weekly HW help sessions during office hours. The course requires some experience with programming and a pre-requisite of Linear Algebra.

Evaluation

Weekly assignments (11 total) consist of 8 questions each. There will be a three in-class exams during the semester and no final exam. Performance on HW and Exams are weighted equally.

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