This course covers numerical methods for the solution of nonlinear algebraic equations, interpolation, extrapolation, numerical differentiation and integration, and numerical solution of ordinary differential equations. Although the emphasis will be in applications, the course will have a strong theoretical component.
MATH 325 and computer proficiency.
Students are expected lo learn methods for finding approximate solutions to mathematical problems for which exact (analytic) solutions are unavailable and gain an appreciation of the difficulties involved in finding reliable numerical solutions for such problems. Students are expected to develop and strengthen numerical skill and have an insight into efficiency of algorithmic processes.
Notes and textbooks are not allowed during preliminary examination.
Lectures: Tuesday-Thursday: 2:00 - 3:15 p.m., THN E303
To be handed in at Thursday lecture meeting. Do all problems assigned. These will be graded and returned to you the next week. Please be sure that your work is legible.
No late homework will be accepted. You may work cooperatively on assignments provided
Of course, when it comes to exams, you are on your own.
You will be required to write a program to solve certain homework problems.The program must be handed in as part of the assignment, together with the output of the program, in the format indicated in the assignment, and an interpretation of the results whenever necessary. You can write the programs either Matlab or Maple. The book website contains the code for the problems. You may use this code as a guide, but you must write your own original code for the assignments.
Week 1: Jan 20 no homework due | Week 2: Jan 25-27 Homework 1: due Jan 27 | Week 3: Feb 1-3 Homework 2: due Feb 3 | Week 4: Feb 8-10 Homework 3: due Feb 10 |
Week 5: Feb 15-17 Homework 4: due Feb 17 | Week 6: Feb 22-24 Prelim I: Feb 22 | Week 7: March 1-3 Homework 5: due March 3 | Week 8: March 8-10 Spring Break no homework due |
Week 9: March 15-17 Homework 6: due Mar 17 | Week 10: March 22-24 Homework 7: due Mar 24 | Week 11: Mar 29-31 Homework 8: due Mar 31 Prelim II: Mar 31 | Week 12: April 5-7 No homework due |
Week 13: April 12-14 Homework 9: due April 14 | Week 14: April 19-21 Homework 10: due April 21 | Week 15: April 26-28 Prelim III: April 26 Homework 11: due April 28 | Week 16: May 3 Review - no homework due |
There will be a short quiz every Thursday, unless otherwise announced. It will be returned to you on Tuesday.
Prelims count 25% each, and the remaining 25% is apportioned among homework, quizzes and class participation.
An incomplete will be given only in those rare circumstances where a student has completed all but a small portion of the course with a grade C or better and a severe, unexpected event prevents him/her from completing the course. In particular, if you get behind in the course you cannot ``bail out" by taking an incomplete.
You are responsible for the material covered in class, whether you attend or not. You are also responsible for the announcements made during class; these may include changes in the syllabus.