Prof. Vladimir Dobrushkin
Department of Mathematics
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Syllabus

Advanced Engineering Mathematics, Fall 2012 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
Sep 5 Introduction
13.1, 13.2
13.1: 1,2,5,7--17;
13.2:
1-13 odd,18-23
Sep 13
Sep 10 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;
Sep 20
Sep 17 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
Sep 27
Sep 24 Determinants
Inverse matrix
7.7
7.8
5,7,9,11,15,19,21,23
1,3,5,7,13,17,19
Oct 4
Oct 1 Review   Exam 1, October 8  
Oct 8 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
Oct 18
Oct 15 Exact ODEs
Linear and Bernoulli ODEs
1.4
1.5
1,5,7,9,15
3,5,7,11,15
Oct 25
Oct 22 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
Nov 1
Oct 29 Last day to drop Oct 17
2.2
2.4
1,3,5,7,9,11,13,15,17,19,21,23,25,
1,5,10,11,14,17
Nov 8
Nov 5 No class Nov. 6
2.7
1,3,5,7,11,13,15,17,19 Nov 12
Nov 12 Exam 2, Nov 13   Makeup Exam 2, Nov. 20 at 8am Nov 20
Nov 19 Thanksgiving resess (22 - 25) 2.8,2.9 2.8: 1,2,9,15,17; 2.9: 8 -- 13  
Nov 26 Variation of parameters
Method undetermined coeff.
2.10
3.3
1,2,3,5
8,9,13,14,15
 
Dec 3 Review   Exam 3, December 6  
Dec 10 Last day of classes      
Dec 11-12 Reading Period      
Dec 13 Final Exam   at 8am