Math Logo MATH 450
Applied Mathematics 1
MWF 10-10:50AM in Wilson Hall 1-124


Announcements
Course Policies (pdf file format)
Textbook: Applied Mathematics, by J. David Logan (3rd edition)

Topics for the Course
  1. Review of Ordinary Differential Equations
    • Separation of Variables
    • Integrating Factors
    • Variable Substitution - Bernoulli
    • Characteristic Equations
    • Variation of Parameters
    • Eigenvalue-Eigenvector Methods for Linear Systems
    • Phase Line and Plane Analysis
    • Bifurcation Analysis
  2. Chapter 1: Dimensional Analysis and Scaling
    • Buckingham Pi Theorem
    • Characteristic Scales
  3. Chapter 2: Perturbation Methods
    • Regular Perturbation
    • Poincare-Linstedt Method
    • Asymptotic Analysis - Pointwise and Uniform Convergence
    • Singular Perturbation
    • Boundary Layer Analysis
  4. Chapter 3: Calculus of Variations
Homework Assignments
 Some Class Notes
These Links are no longer active. Email me if you would like a copy of any of them.
Chapter 1
Chapter2

Supplementary Texts:
  1. Elementary Differential Equations texts (pick your favorite).

Students are NOT required to buy the supplementary texts. Occasionally, I will cover topics and include material from these texts that are not covered to my satisfaction in the required text.