Prerequisites: Math 325 and computer proficiency
Time: 14:00-15:15 M W Chemistry 260
Text: Numerical Analysis by Burden and Faires, PWS, 1997
Topics:
Chapter 1. Mathematical Preliminaries
Test on Chapter 1 (This is usually a take home exam since it
often requires Maple.)
Chapter 2. Solutions of Equations in One Variable
Test on Chapter 2 (This is usually a take home exam since it
often requires Maple.)
Chapter 3. Interpolation and Polynomial Approximations
Chapter 4. Numerical Differentiation and Integration
Final Exam: (This is usually a take home exam since it often
requires Maple.)
The Final Exam will be on Monday, Decenber 18, 2000, 1400-1700.
University Policy on Examination Schedules: Examinations are given only during the scheduled examination period, and faculty members are not authorized to change the announced times of their examinations.
Objectives: Numerical Analysis introduces students to the necessity to develop methods for problem solving that are both robust and efficient. We seek solutions to problems that do NOT necessarily have exact solutions. Thus our solutions are approximations and we focus on developing the error analysis on these approximate solutions. The two parallel themes are (1) how to estimate the solution and (2) how close is our estimate to the true but unknown solution.
Students will use existing mathematical software during the course. In particular, there will be some homework assignments and test problems which will require Maple.
My home page allows you to download some useful computer programs. At present the major files CALC.ZIP, INTEGRAL.ZIP, INTERPOL.ZIP, MPP.ZIP, ROOTFIND.ZIP, TAYLOR.ZIP, UNZIP.EXE.. Your book contains a disk with useful software too.
Tests and Homework: There are two tests and an exam. The tests are each worth 25% of the grade while the exam is worth 40%. The remaining 10% will be based on your classroom participation and the unpledged homework. Students will present the homework solutions in class at the board.
Grading Policy: 100-90 = A, 89-80 = B, 79-70 = C, 69-60 = D, less than 60 = F. Pluses and minuses will be given for scores at the top and bottom of the respective interval.
Attendance Policy: You are allowed four absences. This is about 14% of the class meetings. For each absence over four, the instructor may reduce your grade by 5%. The grade will not be reduced below a C minus.
Office Hours: Monday 13:00 - 13:45, Wednesday 13:00 - 13:45 and
by appointment.