Dr. Tsorng-Whay Pan's Math 4364

Math4364: Intro. to Numerical Analysis in Scientific Computing (Fall, 2024)
Section No.: 13125

Instructor: Dr. Tsorng-Whay Pan

Office: 683 PGH
Phone: (713) 743-3448
Office hours: 1 PM - 2 PM MWF
e-mail: pan@math.uh.edu

TA Office hours: Th. 3 PM - 5 PM at MUSL.

Prerequisite:
- Math 3321 (Engineering Math) or Math 3331 (Differential Equations).
- Ability to do computer assignments in one of the following programming languages: Matlab, FORTRAN, C, Pascal,
  or Mathematica; or consent of instructor. Preferred one is Matlab.
- Student who does not have the prerequisite should drop this course.
Time: MW: 4PM - 5:30PM.
Room: SEC 206
Reference book: R.L. Burden & J.D. Faires, Numerical Analysis, 9th edition, Thomson, 2011 (Chapters 1-6, 8.1, 11.3).
Lecture Notes: Lecture notes are posted on Canvas at AccessUH.
Slides: The slides of each Chapter will be posted on the Canvas at AccessUH.
Course Homepage: http://www.math.uh.edu/~pan/Math4364-2024-Fall.html

Grading policy

Homework: Homework problems will be posted on the Canvas web page. Your TA will grade
some problems (not all) of each HW assignment.
You must turn in your homework assignments to the instructor at Sec 204.
Projects: There will be two projects. The due dates are

Project 1: due on Wednesday, 10/9/2024.(Not available yet.)
Project 2: due on Wednesday, 11/20/2024. (Not available yet.)

Exams: There will be two exams given. Here are the times and dates for two exams:
- Exam I: 4 PM-5:25 PM, Wednesday, 10/02/2024, at SEC 206.
- Exam II: 4 PM-5:25 PM, Monday, 11/25/2024, at SEC 206.
The total of HWs and quizzes is worth 75 points, each project is worth 12.5 points, and each exam is worth 100 points
Do not miss too many of HW assignments.

The total score = (HWs & Quizzes) + (2 projects) + 2 Midterm Exams = 75 + 25 +200=300.
*** Lower total score of HWs and projects hurts your course grade. ***

Important Notes and Connections

Do not miss too many HW assignments. Lower total score of HW assignments hurts your course grade.
Math Help: you also can get help from your TA. TA's office hours will be announced.)
Syllabus Changes:
Please note that the instructor may need to make modifications to the course syllabus.
Notice of such changes will be announced as quickly as possible through your email account at CougarNet.UH.EDU.
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Schedule and Homework Assignments

Notes and HW solutions are available at the Canvas. The following is subject to change.

Chapter 1: Review
Chapter 2: Solutions of Equations in One Variable
- 2.1: Bisection method
- 2.2: Fixed-point iteration method
- 2.3: Newton's method
- 2.4: Order of convergence and modified Newton's method
Project 1 is due on 10/9/2024. Go to Canvas to download it.
Chapter 6: Direct Methods for Solving Linear Systems
- 6.1. Linear systems: Gaussian elimination
- 6.2. Pivoting strategies
- 6.3. Matrix factorization
- 6.4. Crout factorization
- 6.5. Applications: curve fitting
10/02/2024, Wednesday: Exam 1 will be given from 4 PM to 5:20 PM. (Bring your ID.)
Exam 1 covers Ch 2, Ch 6, and finite digit arithmetic introduced in Ch. 1.
Chapter 3: Interpolation and polynomial approximation
- 3.1. Interpolation and the Lagrange Polynomial
- 3.4. Cubic spline interpolation
Chapter 4: Numerical differentiation and integration
- 4.1. Numerical Differentiation
- 4.3. Numerical Integration
Chapter 5:
- 5.1: The elementary theory of initial-valued problems
- 5.2: Euler's method
- 5.3: High-order Taylor methods
- 5.4: Runge-Kutta methods
- 5.5: Stiff Differential Equations
- 5.6: A finite difference method for two-point boundary value problems
Project 2: due on 11/20/2024. Go to Canvas to download it.
11/25/2024, Wednesday: Exam 2 will be given from 4 PM to 5:20 PM. (Bring your ID.)
Exam II covers Chapters 3, 4 and 5.

Department of Mathematics, 651 PGH, Houston, Texas 77204-3008 - Voice: 713-743-3500 - Fax: 713-743-3505

University of Houston

Department of Mathematics

Grading policy

Important Notes and Connections

Schedule and Homework Assignments