Mathematics 342 Download Page (Fall 2013)

• 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.

 

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Course Syllabus (size: unknown, not yet posted)


• Handouts
  
Circuit Theory Review (size: unknown, not yet posted)
Phase Plane: Real Eigenvalues (size: unknown, not yet posted)
Phase Plane: Complex Eigenvalues (size: unknown, not yet posted)
Phase Plane: Generalized Eigenvectors (size: unknown, not yet posted)
Step Function Forcing (size: unknown, not yet posted)

Dirac Function Forcing (size: unknown, not yet posted)

Frobenius Series (size: unknown, not yet posted)

The Hessian Matrix (size: unknown, not yet posted)

Fourier Series (size: unknown, not yet posted)

Sine and Cosine Series (size: unknown, not yet posted)

 
• Homework Sets

Homework Set 1 (size: unknown, not yet posted)

Review of chapter E5, generalized eigenvectors (sections E5.1, E5.2, E5.4, and E6.1).

Homework Set 2 (size: unknown, not yet posted)

Definitions of and matrices for linear transformations (sections L4.1 and L4.2).

Homework Set 3 (size: unknown, not yet posted)

Similarity, Laplace transforms (sections L4.3, E7.1).

Homework Set 4 (size: unknown, not yet posted)

Laplace transforms for IVPs, step and impulse functions, convolution theorem, introduction to power series (sections E7.2-8.1).

Homework Set 5 (size: unknown, not yet posted)

Power series near ordinary points (section E8.2).

Homework Set 6 (size: unknown, not yet posted)

Classification of singular points, power series near regular singular points (sections E8.3 and E8.4).

Homework Set 7 (size: unknown, not yet posted)

Inner product spaces (sections L5.1 and L5.4).

Homework Set 8 (size: unknown, not yet posted)

Orthogonal subspaces, least squares problems (sections L5.2 and L5.3).

Homework Set 9 (size: unknown, not yet posted)

Orthonormal sets, Gram-Schmidt procedure (section L5.5 and L5.6).

Homework Set 10 (size: unknown, not yet posted)

Quadratic forms, positive definite matrices, Fourier series (sections L6.6, L6.7, E9.1, E9.2, E9.4).

Supplemental Study Material (size: unknown, not yet posted)

Sine and cosine series (section E9.3).

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