Week   Date Section Lecture HW Sec Problems Due
  M 23-Aug 1.1 Review of basic concepts, Modeling        
1 W 25-Aug 1.2 Solutions of ODEs: Qualitative analysis 1 1.2 8,14,16-21, 22  
  F 27-Aug 1.3 Separation of variables: Quantitative analysis 1 1.3 1-6,14,19, 21, 33, 42  
  M 30-Aug 1.4 Numerical Analysis: Euler's Method 1 1.4 1,3,6,9,10,12,18  
2 W 1-Sep 1.5 Picard's Theorem 2 1.5 3,6,8,19,23 HW1_solutions
  F 3-Sep 2.1 Linear equations 2 2.1 6,10,15,17,28,30,44  
  M 6-Sep No Class Labor Day        
3 W 8-Sep 2.2 First order linear ODEs 2 2.2 12,15,18,28,39  
  F 10-Sep 2.2        
  M 13-Sep 2.3 Growth and Decay 3 2.3 2,6,13,20,23,30  
4 W 15-Sep 2.4 Mixing and Cooling 3 2.4 4,6,15,18,21 HW2_solutions
  F 17-Sep 2.5 Nonlinear Models 4 2.5 3,6,15,19  
  M 20-Sep 2.6 Systems of ODEs 4 2.6 2,6,13,16,20 HW3_solutions
5 W 22-Sep Review Exam 1 (weeks 1-4) 7:00-8:30PM        
  F 24-Sep 3.1 Matrices 4 3.1 4,7,8,10,25,27,30,45,61  
  M 27-Sep 3.2 Systems of linear equations 5 3.2 3,12,16,18,20,30,52  
6 W 29-Sep 3.2         HW4_solutions
  F 1-Oct 3.3 The inverse matrix 5 3.3 2,6,10,14,21,32,34  
  M 4-Oct 3.4 Determinants 5 3.4 6,7,15,27,32,35 Lab 1(C)
7 W 6-Oct 3.5 Vector spaces and subspaces 5 3.5 5,9,11,16,21,40,64  
  F 8-Oct 3.6 Basis and dimension 6 3.6
2,4,10,13, 20,45, 50
 
  M 11-Oct 3.6          
8 W 13-Oct 4.1 The harmonic oscillator
6
4.1 6,10, 26, 37 HW5_solutions
  F 15-Oct 4.2 Real characteristic roots 6 4.2 6,10,17, 21  
  M 18-Oct 4.2   7 4.2 25, 28, 46, 55 HW6_solutions
9 W 20-Oct Review Exam 2 (weeks 5-8) 7:00-8:30PM        
  F 22-Oct 4.3 Complex characteristic roots 7 4.3 4, 16, 19, 22, 23, 44  
  M 25-Oct 4.4 Undetermined coefficients 7 4.4 6, 20, 29, 30, 36, 46  
10 W 27-Oct 4.5 Variation of parameters 8 4.5 3, 6, 12, 13 HW7_solutions
  F 29-Oct 4.6 Forced oscillations 8 4.6 3, 12, 17, 20  
  M 1-Nov 4.6          
11 W 3-Nov 5.3 Eigenvalues and eigenvectors 9 5.3 9, 16, 22, 28, 48, 49, 54  
  F 5-Nov 5.3          
  M 8-Nov 6.2 Linear systems with real eigenvalues 9 6.2 4, 5, 6, 7, 8, 16, 22, 26, 42 Lab 2(C)
12 W 10-Nov 6.2         HW8_solutions
  F 12-Nov 6.3 Linear systems with nonreal eigenvalues 9 6.3 12, 16, 31  
  M 15-Nov 6.3/6.4 Stability and linear classification       HW9_solutions
13 W 17-Nov Review Exam 3 (weeks 9-12) 7:00-8:30PM        
  F 19-Nov 6.4   10 6.4 2, 3, 4, 6, 8  
  M 22-Nov        
14 W 24-Nov No Class Fall Break    
  F 26-Nov        
  M 29-Nov 7.1 Nonlinear systems 10 7.1 14, 16, 23  
15 W 1-Dec 7.1/7.2 Linearization        
  F 3-Dec 7.2   10 7.2 3, 6, 8, 11, 20  
  M 6-Dec 7.2/7.4 Chaos   Lab 3(C)
16 W 8-Dec Review         HW10_solutions
  F 10-Dec Review          
  T 14-Dec   Final exam (Comprehensive) 10:00AM-1:00PM