Prof. Vladimir Dobrushkin
Department of Mathematics
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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 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 978-0-470-45836-5)

Some of these may be done in class, others as homework. You should attempt them all. (Note: In the problem lists, a notation like 3-9 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: 1,2,5,7--17;
13.2:
1-13 odd,18-23
Jun 31
Jun 28 Exponential function
Matrices
Matrix multiplication
13.5
7.1
7.2
3,5,7,9,11,13--15;
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