Prof. Vladimir Dobrushkin
Department of Mathematics
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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 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) . 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 3-9 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: 1,2,5,7--17;
13.2:
1-13 odd,18-23
Jun 31
Jun 26 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 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 16-22 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