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Numerical Methods I

CS 357

Fundamentals of numerical methods; floating-point computation, systems of linear equations, approximation of functions and integrals, the single nonlinear equation, and the numerical solution of ordinary differential equations; programming exercises and use of high quality mathematical library routines

Resources Schedule Bridge design

Course Tools

PrairieLearn

Online learning system for homeworks and quizzes

CampusWire

Online message board to interact with peers and staff

MediaSpace

Pre-recorded videos for remote learning

Google Colab

IPython Notebooks with interactive examples

Learning Objectives

A Learning Image — Design optimization for a bridge (Machine Problem topic)

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