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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

Material Schedule

Our
tools

We will be using the following tools for course logistics. Be sure to familiarize yourself with all of them

Prairie Learn

An online problem-driven learning system where we host our homeworks and quizzes

Piazza

An online gathering place where students can ask, answer, and explore 24/7, under the guidance of their instructors

Lecture Videos

Video recordings of course lectures

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

Learning Objectives

What You'll Learn

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