Math308       Lecture Notes       Summer 2018

This page will be updated as the semester progresses.

Chapter 1 (Introduction) Blank notes    Completed notes

Section 2.1 (Linear Equations; Method of Integrating Factors) Blank notes    Completed notes
Section 2.2 (Separable Equations) Blank notes    Completed notes
Section 2.3 (Modeling with First Order Equations) Blank notes    Completed notes
Section 2.4 (Differences Between Linear and Nonlinear Equations) Blank notes    Completed notes
Section 2.5 (Autonomous Equations) Blank notes    Completed notes
Section 2.6 (Exact Equations and Integrating Factors) Blank notes    Completed notes

Section 3.1 (Homogeneous equations with constant coefficients) Blank notes    Completed notes
Section 3.2 (Solutions of linear homogeneous equations; the Wronskian) Blank notes    Completed notes
Section 3.3 (Complex roots of the characteristic equation) Blank notes    Completed notes
Section 3.4 (Repeated roots; reduction of order) Blank notes    Completed notes
Section 3.5 (Nonhomogeneous equations; method of undertermined coefficients) Blank notes    Completed notes
Section 3.6 (Variation of parameters) Blank notes    Completed notes
Section 3.7 (Mechanical and electrical vibrations) Blank notes    Completed notes
Section 3.8 (Forced vibrations) Blank notes    Completed notes

Section 6.1 (Definition of the Laplace Transform) Blank notes    Completed notes
Section 6.2 (Solution of initial value problems) Blank notes    Completed notes
Section 6.3 (Step functions) Blank notes    Completed notes
Section 6.4 (Differential equationd with discontinuous forcing functions) Blank notes    Completed notes
Section 6.5 (Impulse functions) Blank notes    Completed notes
Section 6.6 (The convolution integral) Blank notes    Completed notes

Section 7.1 (Introduction) Blank notes    Completed notes
Section 7.2 (Review of matrices) Blank notes    Completed notes
Section 7.3 (Linear algebraic equations; eigenvalues, eigenvectors) Blank notes    Completed notes
Section 7.4 (Basic theory of systems of first order equations) Blank notes    Completed notes
Section 7.5 (Homogeneous linear equations with constant coefficients) Blank notes    Completed notes
Section 7.6 (Complex eigenvalues) Blank notes    Completed notes
Section 7.8 (Repeated eigenvalues) Blank notes    Completed notes
Section 7.9 (Nonhomogeneous linear systems) Blank notes    Completed notes

Chapter 8 (Numerical Methods) (brief review) Notes