Math 246 Schedule of Lectures & Notes, Fall 2011



Lecture Date What was covered BDeP Section(s) Notes
1 Sept. 1 Classification and First-Order Equations. Method of the integrating factor 1.3 , 2.1 First lecture
2 Sept. 6 Separable First-Order Equations and Existence, Uniqueness and Interval of Definition for Solutions 2.2 , 2.4 , 2.8  
3 Sept. 8 Direction Fields and Models 1.1 , 2.3 Quiz 1 - M1
4 Sept. 13 Population Models. Stability of 1-D systems. 2.5  
5 Sept.15 Numerical Methods: The Euler, Improved Euler and Runge-Kutta Integration Methods 2.7 , 8.1 , 8.2 , 8.3 Quiz 2 - M2 , M3
6 Sept. 20 Exact Equations and Integrating Factors (I) 2.6  
7 Sept. 22 Exact Equations and Integrating Factors (II) 2.6 Quiz 3; Review at 7pm
  Sept. 27 1st In-Class Test   Score is used for Early Warning Grade
8 Sept. 29 2nd & higher order homogeneous
linear equations and the Wronskian
3.1, 3.2 , 4.1  
9 Oct. 4 2nd order homogeneous const. coeffs. 3.1, 3.3  
10 Oct. 6 Reduction of order; Higher order homogeneous equation with const. coeffs. (I) 3.4 , 4.2 Quiz 4
11 Oct. 11 Higher order homogeneous w/ const. coeffs. (II) 4.2  
12 Oct. 13 non-homogeneous: undetermined coeffs (I) 3.5 Quiz 5
13 Oct. 18 non-homogeneous: undetermined coeffs. (II) 4.3  
14 Oct. 20 non-homogeneous: variation of parameters (I) 3.6 Quiz 6
15 Oct. 25 non-homogeneous: variation of parameters (II); Free Vibrations 4.4 , 3.7   
16 Oct. 27 Forced Vibrations 3.8 Quiz 7; Review at 7pm
  Nov. 1 2nd In-Class Test    
 17 Nov. 3 Laplace Transform 6.1 , 6.2  
18 Nov. 8 Step functions & discontinuous forcing 6.3 , 6.4  
19 Nov. 10 systems of 1st order diff. eqns. 7.1 , 7.2 , 7.3 Quiz 8
20 Nov. 15 Solving 2D systems for distinct eigenvalues 7.4 , 7.5  
21 Nov. 17 Solving 2D linear systems: Phase portraits 7.6 , 7.7 , 7.8 Quiz 9
22 Nov. 22 Repeated Eigenvalues. Matrix Exponential 7.6 , 7.7 , 7.8  
  Nov. 24 No Class   Thanksgiving break
23 Nov. 29 Phase portaits for 2D systems 9.1 Quiz 10 Stability Diagram
24 Dec. 1 Nonlinear planar systems: Linearization 9.2 , 9.3 Review at 7pm
  Dec. 6 3rd In-Class Test    
25 Dec. 8 Nonlinear planar systems: Phase portraits (I) 9.2 , 9.3  
26 Dec. 13 Nonlinear planar systems: Phase portraits (II), Stability 9.2 Quiz 11(*); Last Class
(*) tentatively scheduled