Math308       Lecture Notes       Spring 2016

This page will be updated as the semester progresses.

Week 1
Chapter 1
Week 2
Section 2.2 (Separable equations)       Completed Notes
Section 2.1 (Linear equations; method of integrating factor)       Completed Notes
Section 2.3 (Modeling with first order equations)       Completed Notes
Week 3
Section 2.3 (Modeling with first order equations)      Completed Notes
Section 2.4 (Difference between linear and nonlinear equations)      Completed Notes
Section 2.5 (Autonomous equations)
Section 2.6 (Exact equations and integrating factors)       Completed Notes
Week 4
Section 2.6 (Exact equations and integrating factors)       Completed Notes
Section 3.1 (Homogeneous equations with constant coefficients)       Completed Notes
Week 5
Section 3.2 (Solutions of linear homogeneous equations; the Wronskian)
Sample Problems for Test 1
Week 6
Section 3.3 (Complex roots of the characteristic equation), Section 3.4 (Repeated roots; reduction of order)
Section 3.5 (Nonhomogeneous equations; method of undertermined coefficients)
Week 7
Section 3.5 (Nonhomogeneous equations; method of undertermined coefficients)
Section 3.6 (Variation of parameter)      Partially completed notes
Section 3.7 (Mechanical and electrical vibrations)      Completed notes
Week 8
Section 3.8 (Forced vibrations)      Partially completed notes
Section 6.1 (Laplace Transform)
Section 6.2 (Solution of initial value problems)
Weeks 10 - 13
Section 6.3 (Step functions)
Section 6.4 (Differential equations with discontinuous forcing functions)       Completed notes for 6.4 and 6.5
Section 6.5 (Impulse Functions)
Section 6.6 (The convolution integral)       Completed notes
Section 7.1 (Introduction)
Section 7.2 (Review of matrices)      Completed notes
Section 7.3 (Linear algebraic equations; eigenvalues, eigenvectors)      Completed notes
Sections 7.5, 7.6, 7.8       Partially completed notes