Department of Mechanical Engineering

Syllabus

Engineering Analysis, Fall 2015 MCE372

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 textbook "Applied Differential Equations. The Primary Course" by Vladimir A. Dobrushkin (CRC Press, 2015, ISBN 978-1-4398-5104-3)
https://www.crcpress.com/product/isbn/9781439851050

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 Date Lecture Topics Section Downloads Problems hw Due 1 Sep 9 Introduction 6.1 6.2 Course Intro MReview 6.1: 1,2,5,7--17; 6.2: 1-13 odd,18-23 Sep 14 2 Sep 14 Linear Systems of Equations Matrices, operations Inverses and Determinants 6.4 7.1 7.2 6.4: 3,4,7; 7.1:1,2; 7:2: 4,5,7. hw1 Sep 21 3 Sep 21 Eigenvalues and Eigenvectors Diagonalization 7.3 7.4 7.3: 3 -- 7; 7.4: 3 -- 5. hw2 Sep 28 4 Sep 28 Sylvester Formula Resolvent Method 7.5 7.6 5,7,9,11,15,19,21,23 1,3,5,7,13,17,19 hw3 Nov 5 5 Oct 5 Review Exam 1, October 8 , 6-8, Kirk Aud. 6 Oct 12 Systems of LInear Equations Constant Coefficient Equations 8.1 8.2 1,3,5,7,9,11,13,15,17,21 1,3,5,7,11,13 7 Oct 19 Variation of Parameters Second Order Linear Systems 8.3 8.5 1,5,7,9,15 3,5,7,11,15 8 Oct 26 Matlab Handbook 8 Oct 26 Test 2 Hints Project 10 Nov 9 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 11 Nov 16 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 Apr 6 2.7 1,3,5,7,11,13,15,17,19 Apr 13 Exam 2, Apr 10 Exam 2 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 formulas Dec 16 Final Exam at 11:30am, White Hall 205 Makeup final: Dec. 21, at 8am; Chafee 224