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LSA Course Guide Search Results: UG, GR, Winter 2007, Dept = ENGR

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Title
Section
Instructor
Term
Credits
Requirements
ENGR 371 — Numerical Methods for Engineers and Scientists
Section 001, LEC

Instructor: Park,Frederick Erwin; homepage

WN 2007
Credits: 3

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 471 or 472.

Background and Goals: This is a survey course of the basic numerical methods which are used to solve practical scientific problems. Important concepts such as accuracy, stability, and efficiency are discussed. The course provides an introduction to MATLAB, an interactive program for numerical linear algebra, and may provide practice in FORTRAN programming and the use of a software library subroutine. Convergence theorems are discussed and applied, but the proofs are not emphasized.

Content: Floating point arithmetic, Gaussian elimination, polynomial interpolation, spline approximations, numerical integration and differentiation, solutions to non-linear equations, ordinary differential equations, polynomial approximations. Other topics may include discrete Fourier transforms, two-point boundary-value problems, and Monte-Carlo methods.

Alternatives: Alternatives: Math 471 (Numerical Analysis) provides a more in-depth study of the same topics, with a greater emphasis on analyzing the accuracy and stability of the numerical methods. Math 571 (Numerical Linear Algebra) is a detailed study of the solution of systems of linear equations and eigenvalue problems, with some emphasis on large-scale problems. Math 572 (Numerical Methods for Differential Equations) covers numerical methods for both ordinary and partial differential equations. (Math 571 and 572 can be taken in either order).

Subsequent Courses: This course is basic for many later courses in science and engineering. It is good background for 571 — 572.

Advisory Prerequisite: ENGR 101; one of MATH 216, 256, 286, or 316, and one of MATH 215, 217, 417, or 419.

ENGR 371 — Numerical Methods for Engineers and Scientists
Section 002, LEC

WN 2007
Credits: 3

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 471 or 472.

Background and Goals: This is a survey course of the basic numerical methods which are used to solve practical scientific problems. Important concepts such as accuracy, stability, and efficiency are discussed. The course provides an introduction to MATLAB, an interactive program for numerical linear algebra, and may provide practice in FORTRAN programming and the use of a software library subroutine. Convergence theorems are discussed and applied, but the proofs are not emphasized.

Content: Floating point arithmetic, Gaussian elimination, polynomial interpolation, spline approximations, numerical integration and differentiation, solutions to non-linear equations, ordinary differential equations, polynomial approximations. Other topics may include discrete Fourier transforms, two-point boundary-value problems, and Monte-Carlo methods.

Alternatives: Alternatives: Math 471 (Numerical Analysis) provides a more in-depth study of the same topics, with a greater emphasis on analyzing the accuracy and stability of the numerical methods. Math 571 (Numerical Linear Algebra) is a detailed study of the solution of systems of linear equations and eigenvalue problems, with some emphasis on large-scale problems. Math 572 (Numerical Methods for Differential Equations) covers numerical methods for both ordinary and partial differential equations. (Math 571 and 572 can be taken in either order).

Subsequent Courses: This course is basic for many later courses in science and engineering. It is good background for 571 — 572.

Advisory Prerequisite: ENGR 101; one of MATH 216, 256, 286, or 316, and one of MATH 215, 217, 417, or 419.

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