Syllabus
Advanced Engineering Mathematics, Spring 2015 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) . However, we will use a customized edition "Topics in Advanced Engineering Mathematics" that contains chapters to be covered.
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 21  Introduction  13.1, 13.2 
13.1: 1,2,5,717; 13.2: 113 odd,1823 
Jun 31 
Jun 26  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 2  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 9  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 16  Review  Exam 1, February 26  
Feb 23  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 2  Exact ODEs Linear and Bernoulli ODEs 
1.4 1.5 
1,5,7,9,15 3,5,7,11,15 
Mar 7 
Mar 31  Test 2  Project  April 7  
Mar 1622  Spring Break  
Mar 23  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 30  Last day to drop Mar 4  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 6  2.7 
1,3,5,7,11,13,15,17,19  Apr 4  
Apr 13  Exam 2, Apr 10  Exam 2  Apr 10  
Apr 20  2.8,2.9  2.8: 1,2,9,15,17; 2.9: 8  13  
Apr 20  Variation of parameters Method undetermined coeff. 
2.10 3.3 
1,2,3,5 8,9,13,14,15 

Apr 20  Review  Exam 3, April 23  
Apr 28  Last day of classes  
Reading Period  
May 7  Final Exam  at 11:30 am 