MAT 3320 - Mathematics for Engineers

Fall 2009


Content of the course

Series solutions of ordinary differential equations. Legendre and Bessel functions. Sturm-Liouville problems, orthogonal functions. Fourier series. Partial differential equations: introduction and applications.

Text: Davis, “Fourier series and orthogonal functions”, Dover Publications Inc., ISBN 0-486-65973-9

1. Notation

2. Sample Mid-term.

3. Definitions (Regularly keep coming back to check if I didn't add some new definitions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)

Prerequisites:  MAT 2121 or MAT 2322, MAT2324 or MAT 2384.  

Lectures:  Monday 8:30-10:00 and Thursday 10:00-11:30, MRT 212.

Office hours: Wednesday 11:00 – 13:00.

Mid-Term exam: Thursday October 22, 2009 at 10h00.

Assignments: There will be 4 assignments and these will be due on October 15, November 5, November 26, and December 7. Late assignments will not be graded.

 

Evaluation: Your grade for the course shall be the maximum of

 

(a)    your score on the final exam, and

(b)   your term mark, which is the weighted average of your scores on the assignments (40%), the mid-term (20%) and the final (40%).

 

In addition: To receive a passing grade, you must score at least 45% on the final exam, and to receive an E or better, you must score at least 40% on the final.

            Missed assignments and tests cannot be written at another time; their weight will be added to that of the final in the calculation of the term mark. However, a maximum of 2 assignments can be so transferred.

Remarks:  If needed, any change in the course description will be announced in class. It is the responsibility of the student to be aware of any modification of the course description.


Assignments

Assignment 1 (due on the 15th of October) (solutions)

 

p.17 # 4, 5

p.24 # 8, 10

p.42 # 1

p.60 # 2, 3, 8

p.61 # 11

 

Assignment 2 (due on the 12th of November) (solutions)

 

p.69 # 4a, b

p.95 # 9

p.112 # 2

p.113 # 6, 7

p.209 # 8

p.286 # 1

 

Assignment 3 and 4 (due on the 7th of December) (solutions)

 


Solutions to the mid-term


Paul-Eugène Parent
Department of Mathematics and Statistics
Office  KED 305G
585 King Edward
tel. 562-5800 ext 3532
e-mail: pparent@uottawa.ca