Prof. Vladimir Dobrushkin
Department of Mathematics
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Syllabus

Advanced Engineering Mathematics, Spring 2018 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 22 Introduction
13.1, 13.2
13.1: 1,2,5,7--17;
13.2:
1-13 odd,18-23
Jun 31
Jun 29 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 5 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 12 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 19 Review   Exam 1, March 1, WhiteHall, 205  
Feb 26 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 5 Exact ODEs
Linear and Bernoulli ODEs
1.4
1.5
1,5,7,9,15
3,5,7,11,15
Mar 7
Mar 12 Spring Break      
Mar 19 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
Feb 12 Last day to drop Feb 12
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
Mar 26 Exam 2   CBLS 010 at 6pm  
Apr 2  
2.7
1,3,5,7,11,13,15,17,19 Apr 4
Apr 9   2.8,2.9 2.8: 1,2,9,15,17; 2.9: 8 -- 13  
Apr 16 Variation of parameters
Method undetermined coeff.
2.10
3.3
1,2,3,5
8,9,13,14,15
 
Apr 23 Review   Exam 3, April 28, White Hall, 113  
Apr 30 Last day of classes   White Hall, 113, at 6pm  
  Reading Period      
May 8 Final Exam   at 8:00 am