Mathematics 302 Download Page (Fall 2002)

• Textbook:

Boyce, William E., and DiPrima, Richard C. Elementary Differential Equations and Boundary Value Problems, 7th ed. New York: Wiley, 2001.

 

• Suggestion Box

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• Course Syllabus (size: 107K) revised version posted 10/21/02
 
• Computer Instructions (size: 60K)
 
• Maple Worksheets

Basic ODE Commands (size: 16K) revised version posted 9/23/02

Euler's Method (size: 10K) revised version posted 9/23/02

Complex Arithmetic (size: 4K)

Forced Equations (size: 4K)

Linear Algebra (size: 14K) revised version posted 10/16/02

Linear Systems (size: 21K)

Introductory Laplace Transforms (size: 5K)

Advanced Laplace Transforms (size: 12K)

Ordinary Points (size: 7K)

Singular Points and Bessel Functions (size: 8K)

Higher-Order Equations (size: 9K)

 

• Handouts

Integral Curves (size: 34K) revised version posted 9/9/02

Beats (size: 45K)

Phase Plane: Real Eigenvalues (size: 43K)

Phase Plane: Complex Eigenvalues (size: 65K)

Phase Plane: Generalized Eigenvectors (size: 35K)

Step Function Forcing (size: 34K)

Frobenius Series (size: 39K)

Bessel Functions (size: 37K)

Fourier Series (size: 49K )

 

Homework Sets

Homework Set 1 (size: 50K) revised version posted 9/17/02

First order linear ODEs, theory of first order nonlinear ODEs, separable ODEs (sections 2.1, 2.2, 2.4).

Homework Set 2 (size: 45K)

Modeling, Euler's method, second-order homogeneous ODEs with constant coefficients, fundamental solutions (sections 2.5, 2.7, 3.1, 3.2, 8.1).

Homework Set 3 (size: 46K)

Complex and repeated roots of the characteristic equation, undetermined coefficients (sections 3.4, 3.5, 3.6, 3.8).

Homework Set 4 (size: 48K) revised version posted 10/9/02

Linear independence, variation of parameters (sections 3.3, 3.7, 3.9).

Homework Set 5 (size: 42K) revised version posted 10/22/02

Linear independence, matrices, eigenvalues, theory of first-order linear ODEs (sections 7.1-7.4).

Homework Set 6 (size: 55K) revised version posted 11/5/02

Solution of systems with constant coefficients, the phase plane, Laplace transforms (sections 6.1, 7.5, 7.6, 7.8, 7.9, 9.1).

Homework Set 7 (size: 55K) revised version posted 11/12/02

Laplace transforms and ODEs, power series (sections 6.2, 6.3, 6.4, 6.6, 5.1).

Homework Set 8 (size: 36K)

Ordinary points (sections 5.2, 5.3).

Homework Set 9 (size: 50K) revised version posted 12/3/02

Euler's equation, regular singular points, Bessel's equation (sections 5.4-5.8).

Homework Set 10 (size: 43K) revised version posted 12/10/02

Higher order equations (sections 4.1-4.3).

Supplemental Study Material (size: 88K)

Separation of variables, Fourier series (sections 10.2-10.5).

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