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  5. MATH 4365 - Numerical Methods for Differential Equations

Undergraduate Studies

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 2331, 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:

There will be a total of 1000 points possible for this course. The points are distributed as follows:

  Final exam :   150
  Three exams :   300 = 100 × 3  
  Five Computer projects :   300 = 60 × 5
  Five Homework Assignments :   250 = 50 × 5


Your total accumulated points will determine your grade:

  A  93% ≤ x ≤ 100%     B-  80% ≤ x < 83%     D+  67% ≤ x < 70%  
  A-  90% ≤ x <93%     C+  77% ≤ x < 80%   D  63% ≤ x < 67%
  B+ 87% ≤ x < 90%    C   73% ≤ x < 77%   D-  60% ≤ x <63%
  B  83% ≤ x <87%    C-  70% ≤ x < 73%    F   Below

 

Homework:

All homework must be submitted online, by uploading your PDF file to Black- board. Submissions on paper will not be accepted. All pages of your homework assignment must be in a single PDF file. Only PDF format will be accepted, not JPEG, ZIP, etc. It is your responsibility to make sure uploaded files are correct and legible. Any deviation from these instructions will result in a grade of ZERO. Make sure that you upload your homework in time for the deadlines. You may, with impunity, submit up to two assignments up to one class period (not one week) beyond their due date. Subsequent submissions will incur penalties in increments of 10%. Homework submitted later than one class period beyond its due date will not be accepted without a written excuse. Homework scores can not be changed one week after they have been returned. Only a subset of the problems collected will be graded. You are encouraged to discuss homework with your classmates. However, you are expected to individually write up your solutions.

 

CSD Accommodations:

Academic Adjustments/Auxiliary Aids: The University of Houston 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, University of Houston 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 The Center for Students with DisABILITIES (CSD) website at http://www.uh.edu/csd/ for more information.

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

 

UH 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 (CAPS) 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.