Week   Date Section Lecture HW Sec Problems Due
  M 24-Aug 1.1 Review of basic concepts, Modeling        
1 W 26-Aug 1.2 Solutions of ODEs: Qualitative analysis 1 1.2 8,14,16-21, 24  
  F 28-Aug 1.3 Separation of variables: Quantitative analysis 1 1.3 12, 18, 23, 33, 44  
  M 31-Aug 1.4 Numerical Analysis: Euler's Method 1 1.4 1,5,7,8,10,12,18 HW1
2 W 2-Sep 1.5 Picard's Theorem 2 1.5 2,4,6,19,23 Solutions
  F 4-Sep 2.1 Linear equations 2 2.1 4,8,13,29,30,44  
  M 7-Sep No Class Labor Day        
3 W 9-Sep 2.2 First order linear ODEs 2 2.2 10,15,20,26,39  
  F 11-Sep 2.2        
  M 14-Sep 2.3 Growth and Decay 3 2.3 4,6,13,22,23,30 HW2
4 W 16-Sep 2.4 Mixing and Cooling 3 2.4 4,7,16,18,21 Solutions
  F 18-Sep 2.5 Nonlinear Models 4 2.5 5,6,15,16 HW3
  M 21-Sep 2.6 Systems of ODEs 4 2.6 4,8,13,16,18 Solutions
5 W 23-Sep Review Exam 1 (weeks 1-4) 7:15-8:45PM        
  F 25-Sep 3.1 Matrices 4 3.1 5,6,7,8,9,25,27,30,44,61  
  M 28-Sep 3.2 Systems of linear equations 5 3.2 3,12,18,22,32,52 HW4
6 W 30-Sep 3.2         Solutions
  F 2-Oct 3.3 The inverse matrix 5 3.3 1,6,8,12,21,33,34  
  M 5-Oct 3.4 Determinants 5 3.4 2,3,15,27,32,33 Lab 1
7 W 7-Oct 3.5 Vector spaces and subspaces 5 3.5 13,15,20,38,64  
  F 9-Oct 3.6 Basis and dimension 6 3.6
2 10 11 22 47
 
  M 12-Oct 3.6         HW5
8 W 14-Oct 4.1 The harmonic oscillator
6
4.1 6 12 28 35 Solutions
  F 16-Oct 4.2 Real characteristic roots 6 4.2 8 12 19 22 HW6
  M 19-Oct 4.2   7 4.2 25 28 48 54 Solutions
9 W 21-Oct Review Exam 2 (weeks 5-8) 7:15-8:45PM        
  F 23-Oct 4.3 Complex characteristic roots 7 4.3 6 14 18 21 24 44  
  M 26-Oct 4.4 Undetermined coefficients 7 4.4 6 18 25 30 36 48 HW7
10 W 28-Oct 4.5 Variation of parameters 8 4.5 8 11 15 Solutions
  F 30-Oct 4.6 Forced oscillations 8 4.6 3 12 17 22  
  M 2-Nov 4.6          
11 W 4-Nov 5.3 Eigenvalues and eigenvectors 9 5.3 11 16 22 30 48 49 56 Lab 2
  F 6-Nov 5.3          
  M 9-Nov 6.2 Linear systems with real eigenvalues 9 6.2 2 5 6 7 8 14 20 28 42 HW8
12 W 11-Nov 6.2         Solutions
  F 13-Nov 6.3 Linear systems with nonreal eigenvalues 9 6.3 10 16 33 HW9
  M 16-Nov 6.3/6.4 Stability and linear classification       Solutions
13 W 18-Nov Review Exam 3 (weeks 9-12) 7:15-8:45PM        
  F 20-Nov 6.4   10 6.4 1 3 4 6 7  
  M 23-Nov        
14 W 25-Nov No Class Fall Break    
  F 27-Nov        
  M 30-Nov 7.1 Nonlinear systems 10 7.1 14 18 23  
15 W 2-Dec 7.1/7.2 Linearization       Lab 3
  F 4-Dec 7.2   10 7.2 2 5 8 12 20  
  M 7-Dec 7.2/7.4 Chaos   HW10
16 W 9-Dec Review         Solutions
  F 11-Dec Review          
  S 12-Dec   Final exam (Comprehensive) 10:30AM-1:00PM