This page will be updated as the semester progresses.
Week 1
1/14
Lecture 1 (Sections 1.1, 1.2)
1/16
Lecture 2 (Chapter 1)
Week 2
1/21
Section 2.2 (Separable equations),
Section 2.1 (Linear equations; method of integrating factor)
1/23
Section 2.3 (Modeling with first order equations)
Week 3
1/28
Section 2.3 (Modeling with first order equations),
Section 2.4 (Difference between linear and nonlinear equations)
1/30
Section 2.4 (Difference between linear and nonlinear equations),
Section 2.5 (Autonomous equations),
Section 2.6 (Exact equations and integrating factors)
Week 4
2/4
Section 2.6 (Exact equations and integrating factors),
Section 3.1 (Homogeneous equations with constant coefficients)
2/6
Section 3.2 (Solutions of linear homogeneous equations; the Wronskian)
Week 5
2/11
Review for Test 1
2/13 Test 1.
Week 6
2/18
Section 3.3 (Complex roots of the characteristic equation),
Section 3.4 (Repeated roots; reduction of order)
2/20
Section 3.5 (Nonhomogeneous equations; method of undertermined coefficients)
Week 7
2/25
Section 3.5 (Nonhomogeneous equations; method of undertermined coefficients)
2/27
Section 3.6 (Variation of parameter)
Week 8
3/4
Section 3.7 (Mechanical and electrical vibrations),
Section 3.8 (Forced vibrations)
3/6
Section 3.7 (Mechanical and electrical vibrations),
Section 3.8 (Forced vibrations)
Week 9
3/18
Review for Test 2
3/20 Test 2.
Week 10
3/25
Section 6.1 (Definition of the Laplace Transform)
3/27
Section 6.2 (Solution of initial value problems),
Section 6.3(Step functions)
Week 11
4/1
Sections 6.4, 6.5,
Section 6.6 (The convolution integral)
4/3
Section 7.1 (Introduction),
Section 7.2 (Review of matrices)
Week 12
4/8
Section 7.2 (Review of matrices),
Section 7.3 (Linear algebraic equations; eigenvalues, eigenvectors)
4/10
Sections 7.5, 7.6, 7.8
Week 13
4/15
Sections 7.5, 7.6, 7.8
4/17
Review for Test 3
Week 14
4/22 Test 3.
4/24 Review for Final