CSE 437 - Introduction to Numerical Analysis I

Institution:

University at Buffalo

Subject:

Description:

Credits: 4 Prerequisites: CSE 113 or CSE 115; MTH 41, MTH 306, MTH 309 or permission of instructor Corequisites: None Type: LEC/REC First part of a -semester sequence, which explores the design and implementation of numerical methods to solve the most common types of problems arising in science and engineering. Most such problems cannot be solved in terms of a closed analytical formula, but many can be handled with numerical methods learned in this course. Topics for the two semesters include: how a computer does arithmetic, solving systems of simultaneous linear or nonlinear equations, finding eigenvalues and eigenvectors of (large) matrices, minimizing a function of many variables, fitting smooth functions to data points (interpolation and regression), computing integrals, solving ordinary differential equations (initial and boundary value problems), and solving partial differential equations of elliptic, parabolic, and hyperbolic types. We study how and why numerical methods work, and also their errors and limitations. Practical experience is gained through course projects that entail writing computer programs. Cross-listed with MTH 437.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.buffalo.edu

Phone Number:

(716) 645-2000

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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