## Math 4445

## Introduction to Numerical Analysis

From Catalog:

Vector spaces and review of linear algebra, direct and iterative solutions of linear systems of equations, numerical solutions to the algebraic eigenvalue problem, solutions of general non-linear equations and systems of equations.

The first semester of this course will cover Chapters
1-9 from
*A First Course in Numerical Methods* by Ascher and Greif.
Ideally, you should read Chapters 1 and 4 on your own before the
semester for motivation and linear algebra review.
In previous years,
this material was covered in Chapters 1, 2, 6, 7 and 9 from
*Numerical Analysis, 9th Edition* by Burden and Faires.

The topics we will cover include:

- Review of Linear Algebra (brief)
- Finite Precision Arithmetic (brief)
- Direct Methods for Solving Linear Systems
- Iterative Methods for Solving Linear Systems
- Eigenvalue Problems
- Systems of Nonlinear Equations

The course references will consist of the textbook, lecture notes, and online material posted on Scholar. The syllabus for this section and section 4445_94328 will be coordinated to offer maximum flexibility when taking MATH 4446 in the upcoming spring semester.

Course Instructor: Jeff Borggaard

Regular office hours will be held in McBryde 528, times will be arranged at the first class meeting. Additional meeting times can be arranged by e-mail.

#### Recent Course Contract

Math 4445 - Introduction to Numerical Analysis - Fall 2012

##### Professor

Jeff Borggaard, regular office hours will be held in McBryde 528. Students are invited to e-mail me at (jborggaard@vt.edu) to arrange an appointment.

##### Text

A First Course in Numerical Methods, Uri Ascher and Chen Greif, SIAM, 2011. (available at the VT Bookstore, at online booksellers, and electronically at http://www.ec-securehost.com/SIAM/CS07.html) .

##### Evaluation and Grading

Regular homework assignments constitute 10% of the grade. Two in-class exams and a final exam will be worth 20% each. The remaining 30% will be made up from approximately four or five projects.

##### Honor Code

Failure to follow these restrictions, and giving or receiving unauthorized aid or assistance on homework, projects or any in-class or take-home exams are Virginia Tech Honor System violations and cases will be filed.