Department of Mathematics and Physics

## Math 499 Directed Study (Numerical Analysis) (4 credits) SYLLABUS Spring 2011

 Instructor: Dr. James Caffrey Daly   Office: Academic Building Rm. 2059   Office Hours: MW 1-2:45pm, Thr 2:30-3pm. Other times by appointment. (Send email)   Tel: 401-742-5759(cell) 239-867-4072(home)   Email: jcdaly@avemaria.edu   (email read often) Text: On line tutorials Meetings: TBA

Structure:   This is an independent study course. The student meets each week with Professor Daly. During the meetings Prof. Daly explains the material and answers any questions the student has with the work. Prior to the meeting the student reads and works on assignments.

Prerequisite: None   (Course level is adjusted to fit the student)

Catalog Description: Student-Faculty collaboration on research projects of mutual interest. Permission of the department required.

The objective of this course is to understand how numerical techniques are used in mathematics and physics. Topics include; evaluating integrals, plotting data, solving differential equations, evaluating model parameters from physical data, and finite element analysis.

Course Outcomes:

After taking this course you will;

• be fluent in the use of excel.
• understand the limitations of numerical methods.
• be able to simulate physical processes.
• be able to numerically integrate arbitrary functions.
• be able to solve nonlinear differential equations.
• be able to use software to extract physical parameters from data.

Assessment and Evaluation:
There will be a series of programming assignments. Every two weeks the student will give a written report and make an oral presentation on the assigned work. Grades will be based on reports (40%), homework (20%), presentations (25%), and attendance 15%.

TENTATIVE SCHEDULE

 Week Topic Due Homework 1. Introduction to excel 1/19 2. Relative and absolute cell addressing, plotting 1/26 3. Acceleration, velocity and position 2/2 4. Numerical Integration 2/9 5. Differential Equations 2/16 6. Interpreting experimental data 2/23 7. Laplaces Equation 3/2 Spring Break 3/5 - 3/13 8. Electromagnetic applications 3/16 9. Electromagnetic applications 3/23 10. Mechanical Applications 3/30 Easter Break 4/21 - 4/25 11. Nonlinear Systems 4/13 12. Nonlinear Systems 4/27