MATH 342 Download Page

• Textbooks:

  Edwards, C. Henry, and Penney, David E. Differential Equations with Boundary Value Problems: Computing and Modeling, 4th ed. Upper Saddle River: Pearson, 2007.

  Leon, Steven J. Linear Algebra with Applications, 8th ed. Upper Saddle River: Prentice-Hall, 2009.

• Suggestion Box

• Course Syllabus (size: 132K)
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• Handouts

• Circuit Theory Review (size: 97K)

  Phase Plane Portrait Review (size: 369K)

  Hamiltonian Systems (size: 2.4M)

  Conservative Systems (size: 454K)

  The Hopf Bifurcation (size: 208K)

  Step Function Forcing (size: 101K)

  Dirac Function Forcing (size: 99K)

  Series Solutions (size: 129K)

  Bessel Functions (size: 125K)

  Proof Techniques (size: 133K)

  Orthogonal Projections and Least Squares (size: 401K)

  Quadratic Forms (size: 161K)

  The Hessian Matrix (size: 167K)

  Fourier Series (size: 179K)

  Sine and Cosine Series (size: 141K)

  Logistic Map (size: 195K) revised version posted 12/3/13

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• Homework Sets

  Homework Set 1 (size: 146K)

  Review (sections E5.2, E6.1, and E6.2).

  Homework Set 2 (size: 232K) revised version posted 9/6/13

  Inhomogeneous and nonlinear first-order systems of ODEs (sections E5.6, E6.2, and E6.4).

  Homework Set 3 (size: 111K)

  Linear transformations (section L4.1).

  Homework Set 4 (size: 175K) revised version posted 9/29/13

  Matrices of linear transformations, similarity, Laplace transforms for IVPs and step functions (sections L4.2, L4.3, E7.1-7.3, E7.5).

  Homework Set 5 (size: 146K) revised version posted 10/9/13

  Impulse functions, convolution theorem, introduction to power series (section E7.4, 7.6, 8.1).

  Homework Set 6 (size: 130K)

  Power series solutions, classification of singular points, power series near regular singular points (sections E8.2-8.4).

  Homework Set 7 (size: 119K)

  Bessel’s equation, inner product spaces, orthogonal subspaces (sections E8.5, L5.1, L5.2, and L5.4).

  Homework Set 8 (size: 142K) revised version posted 11/4/13

  Least squares problems (section L5.3).

  Homework Set 9 (size: 112K)

  Orthonormal sets, Gram-Schmidt procedure, quadratic forms (sections L5.5, L5.6 and L6.6).

  Homework Set 10 (size: 113K) revised version posted 12/3/13

  Positive definite matrices, Fourier series (sections L6.7, E9.1-9.4).

  Supplemental Study Material (size: 96K)

  Discrete models (section E6.5).

Return to the syllabi download page.