MATH 302 Download Page

• Textbook:
• Boyce, William E., DiPrima, Richard C., and Meade, Douglas B. Elementary Differential Equations and Boundary Value Problems, 11th ed. Hoboken: John Wiley and Sons, 2016.
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• Suggestion Box

• Course Syllabus (size: 129K)
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• Bridge collapse under forcing at resonance
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• Mathematica Notebooks
• Basic ODE Commands (size: 178K) revised version posted 9/10/18
  
• Homogeneous Equations I (size: 151K) revised version posted 9/17/18
• Homogeneous Equations II (size: 175K)
• Forced Equations (size: 159K)
• Linear Algebra (size: 158K) revised version posted 2/25/19
• Systems of Linear Homogeneous ODEs (size: 168K) revised version posted 10/29/18
• Advanced Systems (size: 177K) revised version posted 10/29/18
• Introduction to Laplace Transforms (size: 154K)
• Laplace Transforms, Series (size: 157K)
• Series Solutions (size: 148K)
• Euler Equations and Fourier Series (size: 151K)
• Fourier Sine and Cosine Series (size: 147K)
• Exam Template (size: 3K)
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• Handouts

• Direction Fields (size: 169K)	Nonlinear Systems (size: 194K)
  Integral Curves (size: 158K)	Hamiltonian Systems (size: 4.7M)
  Nonlinear Equations (size: 156K)	Conservative Systems (size: 673K)
  Logistic Growth (size: 146K) revised version posted 9/13/18	The Hopf Bifurcation (size: not yet posted)
  Unforced Spring (size: 192K) revised version posted 10/5/18	Step Function Forcing (size: 154K)
  Beats (size: 194K)	Dirac Forcing (size: 128K)
  Phase Plane: Real Eigenvalues (size: 303K)	Series Solutions (size: 170K)
  Phase Plane: Complex Eigenvalues (size: 293K)	Fourier Series (size: 199K)
  Phase Plane: Generalized Eigenvectors (size: 260K)	Sine and Cosine Series (size: 198K)

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• Homework Sets

  Homework Set 1 (size: 128K)

  First order ODEs (sections 1.1, 2.1, 2.2, 2.4, 2.5).

  Homework Set 2 (size: 100K) revised version posted 9/14/18

  Homogeneous ODEs: theory and real roots (sections 3.1, 3.2, 4.1, 4.2).

  Homework Set 3 (size: 93K)

  Homogeneous ODEs with complex and repeated roots (sections 3.3, 3.4, 4.2).

  Homework Set 4 (size: 115K) revised version posted 10/9/18

  Inhomogeneous ODEs, modeling (sections 3.5-3.8).

  Homework Set 5 (size: 175K)

  Matrices, theory of first-order systems (sections 7.1-7.4).

  Homework Set 6 (size: 219K) revised version posted 10/29/18

  Homogeneous and forced linear first-order systems, nonlinear phase plane analysis (sections 7.5, 7.6, 7.8, 7.9, 9.1, 9.3).

  Homework Set 7 (size: 121K)

  The Laplace transform (sections 6.1, 6.2).

  Homework Set 8 (size: 128K)

  Properties of the Laplace transform, power series (sections 5.1, 6.3-6.6).

  Homework Set 9 (size: 112K) revised version posted 11/28/18

  Series solutions near an ordinary point, Euler equations, separation of variables, Fourier series (sections 5.2, 5.3, 5.5, 10.2, 10.3, 10.5).

  Supplemental Study Material (size: 107K)

  Odd and even Fourier series (section 10.4).

Return to the syllabi download page.