Prof. Vladimir Dobrushkin
Department of Mechanical Engineering
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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