CS 357

Fundamentals of numerical methods for students in science and engineering; floating-point computation, systems of linear equations, approximation of functions and integrals, the single nonlinear equation, and the numerical solution of ordinary differential equations; various applications in science and engineering; programming exercises and use of high quality mathematical library routines. Course Information: Same as MATH 357. Credit is not given for CS 357 if credit for CS 450 has been earned. (Counts for advanced hours in LAS). Prerequisite: One of CS 101, CS 105 or CS 125; MATH 241; one of MATH 225, MATH 415, MATH 416 or ASRM 406.

Varies by semester

Analyze the sources of errors in mathematical operations on the computer (2)
Implement and analyze major numerical methods and their merits and pitfalls (1), (6)
Calculate the computational cost of a range of numerical methods (2)
Select and use software tools, based on their numerical methods, for a range of problems (1), (6)
Estimate the accuracy in approximated numerical solutions (2), (6)

Numerical experiments, randomness, Monte Carlo simulations

· Errors (rounding and truncation)

· Taylor series

· Floating point representation and operations

· Linear system of equations

· Sparse matrix storage and computation

· Eigenvalue problems

· Low rank approximations

· Least squares problems

· Interpolation

· Root finding

· Nonlinear Optimization

Revisions in last 6 years	Approximately when revision was done	Reason for revision	Data or documentation available?
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Required.

2/10/2019by Mariana Silva