MTH 439 Numerical Analysis Fall Semester 2012 (121) Instructor: Karen E. Donnelly   Her Homepage Her Schedule Course Syllabus

	Assignments
Useful Links for this Course	Labs

Tentative Test Schedule and Review Guides

Exam # 1 -- Tuesday Sept. 18^th Review Guide

Exam # 2 -- Tuesday Oct. 16^th Review Guide

Exam # 3 -- Thursday Nov. 29^th Review Guide

Final Exam: Comprehensive – with use of book and notes – Tues December 11th 2:00 p.m. Review Guide

Labs

Lab 08/22/12 Numerical Analysis Lab 1: MATLAB Fundamentals Significant Digits Worksheet

Lab 08/30/12 Numerical Analysis Lab 2: Bisection and False Position Methods for Finding Roots

Lab 09/6/12 Numerical Analysis Lab 3: Newton-Raphson Method for Finding Roots

Lab 09/13/12 Numerical Analysis Lab 4: Gaussian Elimination with Partial Pivoting

Lab 09/27/12 Numerical Analysis Lab 5: LU Factorization mfile to download: luquick.m

Taylor Polynomials Lab (using Calculators).

Lab 10/04/12 Numerical Analysis Lab 7: Lagrange Polynomial Interpolation mfile to download: lagran.m

Lab 10/11/12 Numerical Analysis Lab 8: Newton Polynomial Interpolation mfiles to download: newpoly.m PlotNewton.m

Lab 10/18/12 Numerical Analysis Lab 9: Least Squares Method: Excel Worksheet on Least Squares Line

Lab 10/24/12 Numerical Analysis Lab 10: Least Squares Polynomials and Least Squares Power in MATLAB

Lab 11/01/12 Numerical Analysis Lab 11: Numerical Differentiation mfiles to download: f.m difflin.m

Lab 11/08/12 Numerical Analysis Lab 12: Numerical Integration

Lab 11/15/12 Numerical Analysis Lab 13: Euler and Heun Methods for Differential Equations mfiles to download: euler.m heun.m

Power Points

Chapter 1 Section 3: Error Analysis Handouts

Chapter 2 Section 1: Fixed Point Iterations Handouts

Chapter 2 Section 2: Bisection, False Position Methods Handouts

Chapter 2 Section 3: Initial Approximation and Convergence Issues Handouts

Chapter 2 Section 4: Newton Raphson and Secant Methods Handouts

Chapter 3 Section 4 Gaussian Elimination with Pivoting Handouts

Chapter 3 Section 5: Triangular (LU) Factorization Handouts

Chapter 4 Section 4.1 Taylor Polynomials

Chapter 4: Sections 4.2, 4.3 Interpolating Polynomials Handouts

Chapter 5 Section 5.1, 5.2 Least Squares Method

Chapter 6: Numerical Differentiation

Chapter 7: Section 7.1, 7.2 Numerical Integration (Quadrature)

Chapter 9: Section 9.1, 9.2 Euler’s Method Section 9.5 Runge-Kutta

Useful Links for this Course 

· http://numericalmethods.eng.usf.edu/

• Some Disasters due to Numerical Errors in Computing