Department of Mathematics

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