É«»¨ÌÃ

MATH 4365 - Numerical Methods for Differential Equations

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisites: MATH 3331, or equivalent, and three additional hours of 3000-4000 level Mathematics.

Course Description: Numerical differentiation and integration, multi-step and Runge-Kutta methods for ODEs, finite difference and finite element methods for PDEs, iterative methods for linear algebraic systems and eigenvalue computation.

Textbook: "Numerical Solution of Ordinary Differential Equations", by Kendall Atkinson et al. ISBN: 9780470042946. "A First Course in the Numerical Analysis of Differential Equations", by Arieh Iserles. ISBN: 9780521734905


Course Content:

This is an introductory course on numerical methods for ordinary and partial differential equations. It includes the construction, analysis and application of numerical methods for:
• Initial value problems in ODEs
• Boundary value problems in ODEs
• Initial-boundary value problems in PDEs with one space dimension.

Approximately four weeks are spent on each topic.

Grading: Please consult your instructor's syllabus regarding any and all grading guidelines.

Homework: Please consult your instructor's syllabus regarding any and all grading guidelines.


Justin Dart Jr. Center Accommodations:

Academic Adjustments/Auxiliary Aids: The É«»¨Ìà System complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students who have a disability. In accordance with Section 504 and ADA guidelines, É«»¨Ìà strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please visit Justin Dart Jr. Student Accessibility Center website at /accessibility/ for more information.

É«»¨Ìà CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach  by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.