Department of Mathematics

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