Mathematics 535 Download Page (Spring 2013)
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- Course Syllabus (size: 117K)
revised version posted 2/5/13
- Handouts
- Fourier Series (size: 176K)
- Sine and Cosine Series (size:
150K)
- The Error Function (size: 174K)
- Fourier and Laplace Series (size:
134K)
- Classification (size: 124K)
- Standing Waves (size: 142K)
- Corrections to April 4 Lecture
(size: 111K)
- Bessel Functions (size:
136K) revised version posted 4/18/13
- Legendre Polynomials (size:
169K) revised version posted 4/18/13
- Separation of Variables Chart (size:
114K)
- Envelopes (size: 139K) revised
version posted 5/2/13
- Shocks (size: 133K)
- The Stefan Problem (size:
unknown, not yet posted)
- Homework Sets
- Homework Set 1 (size: 164K)
- Review material, the heat equation (sections H1.1, H1.2).
- Homework Set 2 (size: 114K)
- Separation of variables, Fourier series (sections C1.4,
C3.2, H2.1-2.3, H3.1, H3.2, H3.4).
- Homework Set 3 (size: 122K)
revised version posted 2/26/13
- Sine and cosine series, Fourier series for the heat equation
(sections C1.4, C3.1, H1.3, H1.4, H3.3, H8.1-8.3).
- Homework Set 4 (size: 112K)
revised version posted 3/4/13
- Laplace transforms (sections H13.1, H13.2).
- Homework Set 5 (size: 121K)
- Fourier transforms (sections C3.3, H10.3-10.5).
- Homework Set 6 (size: 94K) revised
version posted 4/2/13
- Classification of PDEs, derivation of the wave equation
(sections C1.3, C2.1, H4.1, H4.2, H12.3.1, H12.3.2).
- Homework Set 7 (size: 106K)
revised version posted 4/8/13
- Solutions of the wave equation (sections C2.1, C2.4, C2.5,
H4.4, H4.5, H7.1-7.3, H7.7.1, H7.7.2, H12.3.3-12.5).
- Homework Set 8 (size: 105K)
- Sturm-Liouville theory, Bessel functions, Laplace's equation
(sections C2.5, C4.2, C6.2, H2.5.4, H5.3, H5.5, H7.7.3-7.7.9).
- Homework Set 9 (size: 115K)
- Poisson's integral formula, spherical harmonics, linear
first-order equations (sections C1.2, C4.4, H7.10, H12.2.2,
H12.6.1, H12.6.2).
- Homework Set 10 (size: 83K)
- Linear and nonlinear first-order equations (sections
H12.6.3-12.6.5).
- Supplemental Study Material (size:
107K)
- Shocks, the Stefan problem (sections C3.6, H12.6.4,
H12.6.5).
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