Mathematics 302 Download Page (Fall 2018)
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- Course Syllabus (size: 132K)
Bridge collapse under forcing at resonance
- 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:
- Laplace Transforms, Series (size: 157K)
- Series Solutions (size: 148K)
- Euler Equations and Fourier Series (size:
- Fourier Sine and Cosine Series (size:
- Exam Template (size: 3K)
- 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,
- Homework Set 3 (size: 93K)
- Homogeneous ODEs with complex and repeated roots (sections 3.3,
- 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,
- 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,
- Supplemental Study Material (size: 107K)
- Odd and even Fourier series (section 10.4).
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