Department of Mathematics

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