Syllabus
Advanced Engineering Mathematics, Spring 2013 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 resourcesBelow 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 
Jun 23  Introduction  13.1, 13.2 
13.1: 1,2,5,717; 13.2: 113 odd,1823 
Jun 31 
Jun 28  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; 
Feb 7 
Feb 4  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 
Feb 14 
Feb 11  Determinants Inverse matrix 
7.7 7.8 
5,7,9,11,15,19,21,23 1,3,5,7,13,17,19 
Feb 21 
Feb 18  Review  Exam 1, February 21  
Feb 25  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 
Feb 28 
Mar 4  Exact ODEs Linear and Bernoulli ODEs 
1.4 1.5 
1,5,7,9,15 3,5,7,11,15 
Mar 7 
Mar 11  Spring Break  Project  
Mar 18  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 
Mar 21 
Mar 25  Last day to drop Mar 6  2.2 2.4 
1,3,5,7,9,11,13,15,17,19,21,23,25, 1,5,10,11,14,17 
Mar 28 
Apr 1  2.7 
1,3,5,7,11,13,15,17,19  Apr 4  
Apr 8  Exam 2, Apr 2  Makeup Exam 2, Apr 4 at 8am  Apr 11  
Apr 15  2.8,2.9  2.8: 1,2,9,15,17; 2.9: 8  13  
Apr 22  Variation of parameters Method undetermined coeff. 
2.10 3.3 
1,2,3,5 8,9,13,14,15 

Apr 29  Review  Exam 3, April 25  
Apr 30  Last day of classes  
Reading Period  
May 7  Final Exam  at 8am 