MTH 439 Numerical Analysis Winter Semester 2011 (102) Instructor: Karen E. Donnelly   Her Homepage Her Schedule Course Syllabus

	Assignments
Useful Links for this Course	Labs

Tentative Test Schedule and Review Guides

Test # 1  -- Thursday 02/03 Review Guide

Test # 2  --  Thursday 03/03 Review Guide

Test # 3  --  Thursday 03/31 Review Guide

Test # 4 -- Tuesday 04/26 Take home due this date

Final Exam:  Comprehensive – Thursday, May 5th 8:00 a.m. Review Guide

Labs

Lab 01/11/11 Numerical Analysis Lab 1: MATLAB Fundamentals Significant Digits Worksheet

Lab 01/18/11 Numerical Analysis Lab 2: Bisection and False Position Methods for Finding Roots Practice Graphs

Lab 01/25/11 Numerical Analysis Lab 3: Newton-Raphson and Secant Methods Worksheet

Lab 01/31/11 Excel Worksheet for Newton-Raphson and Secant Methods

Lab 02/08/11 Numercal Analysis Lab 4: Gaussian Elimination with Partial Pivoting

Lab 02/15/11 Numerical Analysis Lab 5: LU Factorization with Permuations m-file to download: luquick.m

Lab 02/22/11 Numerical Analysis Lab 6: Taylor Polynomial Approximations

Lab 03/01/11 Numerical Analysis Lab 7: Newton Polynomial Interpolation

Lab 03/15/11 Numerical Analysis Lab 8: Least Squares Power Fit

Lab 03/22/11 Using Excel for Least Squares Line, Data Linearization

Lab 04/5/11 Numerical Analysis Lab 10: Composite Trapezoid and Simpson’s Rules

Lab 04/14/11 Numerical Analysis Lab 11: Heuns’s Method. Euler Heun Example Maple Worksheet Lab with MatLab On Euler Heun

Lsline.m mfile

Lab /04/19/11 Numerical Analysis Lab 12: Runge Kutta Method compared Download this file also for lab: Comparerk4.m

Class 04/21/11

Outline of RungeKutta Order 2 Methods

RungeKutta Example Worked. Systems of 2 D.E Worked.

Class during Final Week: Can you believe it: Answers to Section 9-2 and 9-3. Answers to Section 9-5 Answers to 7-2

Sample Excel Worksheet for Approximation of Derivative

Power Points

Chapter 1

Chapter 2 Section 1: Fixed Point Iterations Handouts

Chapter 2 Section 2: Bisection, False Position Methods Handouts

Chapter 2 Section 4: Newton Raphson and Secant Methods Handouts

Chapter 3 Section 4 Gaussian Elimination with Pivoting Handouts

Chapter 4 Section 4.1 Taylor Polynomials

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