Introduction to ODE, Fall 2009

Instructor: Lucy Lifschitz


Date  Sections  Homework 
August 25,27 §1.1 Differential Equations and Math. Models  p.8 ##3,7,9,13,19,21,27,32,39 
September 1,3  §1.2 General and Particular Solutions 
§1.3 Slope Fields and Solution Curves 
p.17 ##3,5,7,8,11,14,19,25,27,37 
p.27 ##1,4,11,15,21,26 
September 8,10  §1.4 Separable Equations 
§1.5 Linear First-order Equations 
p.43 ##3,7,13,19,22,25,29,34,37,39,51 
p.56 ##3,7,13,15,19,23,24 
September 15,17  §1.6 Substitutions Methods and Exact Equations 
Review
p.74 ## 7,8,13,15,,21,22,29,58 
September 22,24  Test 1, September 22 
§1.6 Exact Equations 
p.74 ##31,33,36,37,43,47 
Sept. 29, Oct. 1  §3.1 Second Order Linear Equations 
§3.2 General Solutions of Linear Equations 
p.158 ##3,5,10,11,14,24,25,33,35,39,43 
p.170 ##1,3,4,13,15,21,23 
October 6,8  §3.3 Homogeneous Equations with Constant Coefficients 
§3.5 Non-homogeneous Equations and Undetermined Coefficients 
p.183 ##3,5,11,13,17,22,25,27,29,35,39 
p.210 ##1,5,11,13,17,19,23,25,33,36 
October 13,15  §3.5 (Continued) 
Review 
 
October 20,22 Test 2, October 20 
§4.1 First-order Systems 
 
October 27,29  §4.2 Method of Elimination 
§5.1 Matrices and Linear Systems 
p.255 ##3,6,13,17; p.266 ##3,5,7,9,13 
p.301 ##1,6,9,12,14,17,23,27,29 
November 3,5  §5.2 The Eigenvalue Method for Homogeneous Systems 
§5.2 (Continued) 
p.302 ##31,36,37 
p.316 ##3,7,13,17,19,22,25 
November 10,12  §5.4 Multiple Eigenvalue Solutions 
§5.5 Matrix Exponentials and Linear Systems 
p.345 ##7,9,12,15,20 
 
November 17,19  Review 
Test 3, November 19 
 
November 24    
 
December 1,3  §7.1 Laplace Transforms and Inverse Transforms 
§7.2 Transformation of Initial Value Problems 
p.450 ##1,3,11,13,17,19,23,25,27,29,33 
p.462 ##1,3,5,9,10,11,15 
December 8,10  §7.3 Translation and Partial Fractions 
Review for the Final 
 
 
Final Exam: Tuesday, December 15, 8:00-10:00am