
Syllabus
Advanced Engineering Mathematics, Fall 2012 MTH362
The following calendar gives a timetable for the course and suggested practice problems from the text. These are suggested practice problems and not homework problems to be handed in.. Your class may be slightly behind or ahead at any given time. Computer resources Below the calendar is a list of sections in the 10th edition of the textbook "Advanced Engineering Mathematics " by Erwin Kreyszig (John Wiley & Sons, Inc., ISBN 9780470458365)
Some of these may be done in class, others as homework. You should
attempt them all. (Note: In the problem lists, a notation like 39
means that all the problems 3,4,5,6,7,8,9 are assigned.)
Week 
Events 
Section 
Problems 
Due 
Sep 5 
Introduction 
13.1, 13.2 
13.1: 1,2,5,717;
13.2: 113 odd,1823 
Sep 13 
Sep 10 
Exponential function
Matrices
Matrix multiplication 
13.5
7.1
7.2

3,5,7,9,11,1315;
1,5,7,9,12,14;
1,2,4,13,20,21; 
Sep 20 
Sep 17 
Linear systems of equations
Rank of a matrix
Existence and uniqueness 
7.3
7.4
7.5

1  91,3,5,9,11,15,17,19
1,3,5,7,13,17,19
to be assigned 
Sep 27 
Sep 24 
Determinants
Inverse matrix 
7.7
7.8

5,7,9,11,15,19,21,23
1,3,5,7,13,17,19 
Oct 4 
Oct 1 
Review 

Exam 1, October 8 

Oct 8 
Modeling
Direction fields
Separable ODEs 
1.1
1.2
1.3

1,3,5,7,9,11,13,15,17,21
1,3,5,7,11,13
3,5,7,9,11,13,15,23,25,27 
Oct 18 
Oct 15 
Exact ODEs
Linear and Bernoulli ODEs 
1.4
1.5

1,5,7,9,15
3,5,7,11,15 
Oct 25 
Oct 22 
Existence and Uniqueness
Homogeneous linear ODEs 
1.7
2.1

1,2,3,4,5
1,3,5,7,9,11,13,17,19,21,23 
Nov 1 
Oct 29 
Last day to drop Oct 17 
2.2
2.4 
1,3,5,7,9,11,13,15,17,19,21,23,25,
1,5,10,11,14,17 
Nov 8 
Nov 5 
No class Nov. 6 
2.7 
1,3,5,7,11,13,15,17,19 
Nov 12 
Nov 12 
Exam 2, Nov 13 

Makeup Exam 2, Nov. 20 at 8am 
Nov 20 
Nov 19 
Thanksgiving resess (22  25) 
2.8,2.9 
2.8: 1,2,9,15,17; 2.9: 8  13 

Nov 26 
Variation of parameters
Method undetermined coeff. 
2.10
3.3 
1,2,3,5
8,9,13,14,15 

Dec 3 
Review 

Exam 3, December 6 

Dec 10 
Last day of classes 



Dec 1112 
Reading Period 



Dec 13 
Final Exam 

at 8am 


 