Department of Mathematics

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