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Math 340-220 - Spring 2012 - Notes Page

  • Chapter 1: Models, differentiation, and integration basics.
  • Section 2.2: Solving separable equations, exponential equations, direct integration to solve initial value problems.
  • Section 2.3: Models of motion.
  • Section 2.4: (Pencast & .pdf) 1st Order Linear Equations: Integrating Factors & Variation of Parameters.
  • Section 2.5: Exact Differential Equations.
  • Section 2.7: Existence & Uniqueness.
  • Section 2.9: Autonomous Equations & Stability.
  • Section 3.1: Population Models. [.pdf]
  • Section 4.1: Second Order Equations.
  • Section 4.2: Second Order Equations & Systems & Harmonic Motion
  • Section 4.7: Forced Harmonic Motion
  • Section 7.1: Matrix Algebra & Systems of Linear Equations
  • Section 7.2: Linear Systems with Two or Three Variables
  • Section 7.3: Solving Systems of Equations
  • Section 7.4: Inhomogeneous & Homogeneous Solutions & Subspaces & Nullpaces
  • Exam 1 - Practice Exam and solutions!
  • Section 7.5: Bases and Spans
  • Section 7.6: Square Matrices
  • Section 7.6: Determinants
  • Section 8.1: Introduction to Systems
  • Sections 8.2 and 8.3: Systems: Geometry & Qualitative Analysis
  • Sections 8.4 and 8.5: Linear Systems
  • Sections 9.1 and 9.2: Solving Linear Systems
  • Sections 9.3 and 9.4: Phase Portraits
  • Sections 9.5: Homogenous Linear Systems
  • Sections 9.6: Generalized Eigen Vectors
  • Sections 9.7: Qualitative Analysis
  • Sections 6.1: Euler's Method
  • Sections 6.2: Runge-Kutta Methods
  • Sections 5.1-5.4: Laplace Transforms
  • Sections 5.5-5.7: More Laplace Transforms
  • Links for Math 340-220