Course Outline

Session 1 (9/9/99)  Introduction   Reading: Ch. 1-2. Homework (Due on 9/23/99): Send me an e-mail message from your preferred address(es). Contact TIS for your login ID and password. Work out the Taylor polynomial of cos(x) using Maple V and explain. Run program epsi.f and explain.   Professor's Notes Note: 9/16/99 School closed due to storm.   Session 2 (9/23/99)  Solution of Equations in One Variable   Reading: Ch. 2-3   Homework (Due on 9/30/99): 2.1.7a, 2.2.23, 2.4.1a, 2.5.3, 2.6.1a .  Professor's Notes Session 3 (9/30/99)  Interpolation and Approximation   Reading: Ch. 3-4   Homework (Due on 10/7/99): 3.1.15d, 3.2.4a, 3.3.2a, 3.4.12.   Professor's Notes Session 4 (10/7/99)  Numerical Differentiation and Integration   Reading: Ch. 4-5   Homework (Due on 10/14/99): 4.4.2e, 4.4.16, 4.6.3d, 4.7.2f.  Professor's Notes TERM PROJECT PROPOSAL DUE !!!!  Session 5 (10/14/99)  Solution of Initial Value Problems for ODE's   Reading: Ch. 5-6   Homework (Due on 10/21/99): 5.2.2d, 5.4.11d, 5.5.5, 5.6.4d, 5.7.2d, 5.8.4, 5.9.7.   Professor's Notes Session 6 (10/21/99)  Direct Solution Methods for Linear Systems   Reading: Ch. 6-7   Homework (Due on 10/28/99): 6.1.15, 6.2.9d, 6.3.11, 6.5.3a, 6.6.6d.   Professor's Notes Session 7 (10/28/99)  Iterative Solution Methods for Linear Systems   Reading: Ch. 7-8   Homework (Due on 11/4/99): 7.1.4d, 7.2.11, 7.3.5f   Professor's Notes Session 8 (11/4/99)  Approximation Theory   Reading: Ch. 8-9   Homework (Due on 11/11/99): 8.4.1, 8.4.9, 8.6.3d   Professor's Notes Session 9 (11/11/99)  Approximating Eigenvalues   Reading: Ch. 9-10   Homework(Due on 11/18/99): 9.2.13   Professor's Notes Session 10 (11/18/99)  Solution of Nonlinear Systems   Reading: Ch. 10-11   Homework(Due on 12/2/99): 10.2.3b, 10.3.2d, 10.4.4a   Professor's Notes Note: 11/25/99 School closed due to Thanksgiving holiday.  Session 11 (12/2/99)  Solution of Boundary Value problems for ODE's   Reading: Ch. 11-12   Professor's Notes Session 12 (12/9/99)  Solution of Partial Differential Equations   Reading: Ch. 1-12   Professor's Notes TERM PROJECT REPORT DUE !!!!  Finished Draft Requirements (all must be satisfied for full credit) 1.- A professional-looking, spelling and grammar-checked and approximately 10 page long report is expected. The 10 pages must be mostly text with a few carefully selected tables and pictures interspersed. The complete report must be submitted electronically (Word files are OK). You must also have available a hardcopy of your report as backup. 2.- Your document must be well structured and organized. It must contain a tile page with your name, title, course name and date. The report must also contain a table of contents, list of symbols used, introduction, problem description and formulation, numerical approach(es), results, error analysis, discussion, conclusion(s) and references. Use carefully selected tables and figures where apropriate. 3.- Besides the main body of the document, your report must contain as Appendices, the text listing of your computer program(s) as well as typical listings of your results and any other information you may consider pertinent. 4.- The report must also include a diskette containing your written text as well as a ready to run computer program plus necessary input files. 5.- The report must also include a set of 5 carefully selected overhead slides to be shown to the class, if necessary. 6.- Be prepared to make a formal 5 minute long presentation of your results to the class, if necessary. Session 13 (12/16/99)  Final Exam - In Class