MATH 302 Download Page

• Textbook:
• Boyce, William E., DiPrima, Richard C., and Meade, Douglas B. Elementary Differential Equations and Boundary Value Problems, 12th ed. Hoboken: John Wiley and Sons, 2021.
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• Suggestion Box

• Course Syllabus (size: 151K)
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• Online Resources

I don’t officially endorse any of these links, but they are a place to get started.
Integrating Factors (do NOT use Khan Academy)	Bridge collapse under forcing at resonance
Separable Equations	Variation of Parameters
Second-Order Constant Coefficient Equations

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• Mathematica Notebooks

• Basic ODE Commands (size: 64K) revised version posted 10/1	Advanced Systems, Intro to Laplace Transforms (size: 257K) revised version posted 11/5
  Homogeneous Equations I (size: 49K) revised version posted 9/16	Laplace Transforms and ODEs (size: 40K)
  Homogeneous Equations II (size: 36K)	Euler Equations (size: 27K) revised version posted 11/15
  Homogeneous Equations III (size: 35K)	Fourier Series (size: 34K)
  Forced Equations (size: 50K)	Fourier Sine and Cosine Series (size: 32K)
  Linear Algebra and Systems (size: 57K)

• Exam Template (size: 3K)
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• Handouts

• Calculus Review (size: 205K)	Nonlinear Systems (size: 237K)
  Direction Fields (size: 204K)	The Hopf Bifurcation (size: 314K)
  Integral Curves (size: 203K)	Laplace Transforms (size: 207K)
  Nonlinear Equations (size: 193K)	Step Function Forcing (size: 185K)
  Logistic Growth (size: 181K)	Dirac Forcing (size: 134K)
  ODE Theory (size: 255K)	Fourier Series
  Amplitude-Phase Form (size: 252K)	Handout (size: 211K)
  Inhomogeneous Equations (size: 255K)	Movie: Smooth Function (size: 476K)
  Unforced Spring (size: 199K)	Movie: Function with Jumps (size: 550K)
  Beats (size: 232K)	Sine and Cosine Series
  First-Order Systems (size: 245K)	Handout (size: 274K)
  Phase Plane: Real Eigenvalues (size: 341K)	Movie: Cosine Series (size: 724K)
  Phase Plane: Imaginary Eigenvalues (size: 218K)	Movie: Even Extension (size: 569K)
  Phase Plane: Complex Eigenvalues (size: 295K)	Movie: Odd Extension (size: 320K)
  Phase Plane: Generalized Eigenvectors (size: 304K)

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• Homework Sets

  Homework Set 1 (size: 132K), Solution Set (size: 348K) revised version posted 9/23

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

  Homework Set 2 (size: 229K), Solution Set (size: 385K)

  First- and second-order ODEs (sections 2.5, 2.7, 2.8, 3.1).

  Homework Set 3 (size: 109K), Solution Set (size: 259K) revised version posted 9/30

  Homogeneous multiple-order ODEs with real roots (sections 3.2. 4.1, 4.2).

  Homework Set 4 (size: 141K), Solution Set (size: 288K)

  Second-order ODEs (sections 3.3-3.6, 4.2).

  Homework Set 5 (size: 192K) revised version posted 10/11, Solution Set (size: 372K)

  Modeling with ODEs (sections 3.7, 3.8, 7.1).

  Homework Set 6 (size: 124K), Solution Set (size: 326K)

  Matrices, homogeneous first-order systems with real eigenvalues (sections 7.1-7.5, 9.1).

  Homework Set 7 (size: 139K), Solution Set (size: 590K) revised version posted 11/19

  Linear and nonlinear first-order systems, the Laplace transform (sections 7.6, 7.8, 7.9, 9.1, 9.3, 9.7, 6.1).

  Homework Set 8 (size: 159K), Solution Set (size: 349K) revised version posted 11/21

  Laplace transforms for ODEs (sections 6.2-6.4).

  Homework Set 9 (size: 126K), Solution Set (size: 277K)

  Laplace transforms, Euler equations, separation of variables, Fourier series (sections 5.4, 6.5, 6.6, 10.2, 10.3).

  Supplemental Study Material (size: 148K) revised version posted 12/6, Solution Set (size: 186K)

  Fourier sine and cosine series for PDEs, solving the heat equation (sections 10.4, 10.5).

Return to the syllabi download page.