MATH 617 Download Page

• Textbooks:
  • Guenther, Ronald B., and Lee, John W. Partial Differential Equations of Mathematical Physics and Integral Equations. New York: Dover, 1996.
  • Logan, J. David. Applied Mathematics, 4th ed. New York: Wiley, 2013.
•  
• Suggestion Box

• Course Syllabus (size: 126K)
•  
• Writing Assignment (size: 78K)
•  
• Handouts

• Review (size: 247K)	Fourier and Laplace Series (size: 195K) revised version posted 4/11/19
  Classification (size: 202K)	Standing Waves (size: 159K)
  Fourier Series (size: 191K)	Frobenius Series Review (size: 214K)
  Sine and Cosine Series (size: 224K)	Bessel Functions (size: 191K)
  Pointwise Convergence (size: 159K)	Legendre Polynomials (size: 191K)
  Sturm-Liouville Completeness (size: 157K)	The Navier-Stokes Equations (size: 163K) revised version posted 5/7/19
  The Delta Function (size: 202K) revised version posted 3/13/19	The Blasius Solution (size: 186K)
  The Green’s Function (size: 157K)	The Elastica (size: 119K)
  Fourier Transforms (size: 206K)

•  
• Homework Sets

  Homework Set 1 (size: 102K), Solution Set (size: 236K)

  Classification of second-order PDEs, separation of variables, orthogonality (section G2-6, G5-1, G7.6, L5.1).

  Homework Set 2 (size: 199K) revised version posted 2/28/19, Solution Set (size: 130K)

  Fourier series the heat equation (sections G3-1—G3-3, G5-1, G7-6, L5.1, L5.3, L6.4.2).

  Homework Set 3 (size: 89K), Solution Set (size: 135K)

  Maximum principle, Sturm-Liouville theory (sections G5-2, G7-1, G7-6, G7-10, L5.1, L5.2).

  Homework Set 4 (size: 112K), Solution Set (size: 219K) revised version posted 3/26/19

  Delta and Green’s functions (sections G7-2, L5.5, and L5.6).

  Homework Set 5 (size: 104K), Solution Set (size: 219K)

  Fredholm alternative, advanced ODEs (sections G7-7, L5.5, L5.6).

  Homework Set 6 (size: 184K), Solution Set (size: 131K)

  Fourier and Laplace transforms, heat and wave equations (sections G3-4, G3-5, G4-1, G5-1, L6.1, L6.2, L6.5, L7.4.1, L7.4.2).

  Homework Set 7 (size: 215K), Solution Set (size: 152K)

  Wave equation, Bessel functions (sections G4-2, G4-3, G10-1, G10-2, L7.4).

  Homework Set 8 (size: 116K), Solution Set (size: 135K) revised version posted 5/14/19

  Laplace’s equation, Poisson’s integral formula, spherical harmonics (sections G8-1, G8-2, G8-4, L6.3).

  Homework Set 9 (size: 144K), Solution Set (size: 160K)

  Legendre polynomials, unidirectional flows, lubrication theory (sections G12-1, L8.4).

  Supplemental Study Material (size: 118K) revised version posted 5/20/19, Solution Set (size: 96K)

  Inviscid flows, Fredholm integral equations (sections G7-5, G12-1, L5.4.2, L5.4.3, L8.4).

Return to the syllabi download page.