Numerical Analysis (Math 465/565)
This course will introduce you to the fundamental ideas in the analysis of numerical methods.
 Basic course information
 Recommended and suggested textbooks
 Lectures
 Homework Assignments
 Exams
 Matlab tutorials
 Grading policy
Send me an email
Please send me an email at donnacalhoun@boisestate.edu so that I can compile an email list for the class. At the very least, include a subject header that says "Math 465/565". You may leave the message area blank, if you wish, or send me a short note about what you hope to get out of this course.
Basic course information
Instructor  Prof. Donna Calhoun 
Time  Tuesday/Thursday 9:0010:15 
Place  MG 124 
Office Hours  Wednesday 10AM12PM and 1PM3PM 
Prerequesites  Math 301 or Math 333 
Recommended and suggested textbooks
 An Introduction to Numerical Analysis, 2nd Edition, by Kendall Atkinson. Wiley Press, (1989) (suggested).
 A Friendly Introduction to Numerical Analysis, by Brian Bradie. Pearson Prentice Hall, (2006) (suggested).
 Analysis of Numerial Methods, by Eugene Isaacson and Herbert Keller. Dover Books on Mathematics, (1994) (suggested).
 Numerical Computing with Matlab, by Cleve Moler. Mathworks, Inc., (2004) (suggested).
 Learning Matlab, by Toby A. Driscoll. The Society for Industrial and Applied Mathematics, (2009) (suggested).
Lectures
Week #1 (Aug. 26) 
Tuesday 
Introduction to Numerical Analysis

Week #2 (Sept. 2) 
Thursday 
Fixed point iteration (continued)

Week #3 (Sept. 9) 
Tuesday 
Order and rates of convergence
Thursday 
Order and rates of convergence (continued)

Week #4 (Sept. 16) 
Tuesday 
Newton's Method
Thursday 
Secant Method

Week #5 (Sept. 23) 
Tuesday 
Linear Systems

Week #6 (Sept. 30) 
Tuesday 
Review of homework #1

Week #7 (Oct. 7) 
Tuesday 
Partial Pivoting
Thursday 
Error Analysis with partial pivoting

Week #8 (Oct. 14) 
Tuesday 
Error analysis of Gaussian Elimination
Thursday 
Midterm #1

Week #9 (Oct. 21) 
Tuesday 
Work on Midterm exam
Thursday 
Work on Midterm exam

Week #10 (Oct. 28) 
Tuesday 
Introduction to iterative methods
Thursday 
Convergence of Splitting Methods

Week #11 (Nov. 4) 
Thursday 
Conjugate Gradient Method

Week #12 (Nov. 11) 
Tuesday 
Polynomial interpolation
Thursday 
Lagrange Polynomials

Week #13 (Nov. 18) 
Tuesday 
Barycentric Formula, Interpolation Error
Thursday 
Chebyshev Polynomials

Week #14 (Dec. 2)  
Week #15 (Dec. 9) 
Tuesday 
Quadrature rules  convergence theory
Thursday 
In class practice exam

Homework Assignments
Homework projects are designed to enforce mathematical concepts and to build and improve Matlab programming skills. Homeworks will be due roughly every two weeks.
Homework #1 
Due Sept. 12

Homework #2 
Due Oct. 1

Homework #3 
Due Oct. 15

Homework #4 
Due Nov. 7

Homework #5 
Due Dec. 5

Exams
We will have one midterm and one final
Midterm Exam  Date October 17 This exam will be open notes and open book 
Final Exam  Date Tuesday December 17th, 9:3011:30 The final exam will be comprehensive 
You can find the Final Exam calendar here.
Matlab tutorials
Below are a series of tutorials that should help you become familar with Matlab syntax
Grading policy
Homeworks and quizzes will count for 25% of your final grade, and each of the midterms and the final will be 25% each of your final grade.