Mathematics 302 Download Page (Fall 2001)

• 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: 12K) revised version posted 9/4/01
 
• Computer Instructions (size: 8K)
 
• Maple Worksheets

Basic ODE Commands (size: 13K)

Euler's Method (size: 12K)

Complex Arithmetic (size: 6K)

Linear Algebra (size: 14K)

Linear Systems (size: 20K) revised version posted 10/19/01

Introductory Laplace Transforms (size: 8K )

Advanced Laplace Transforms (size: 9K )

Series Solutions (size: 11K)

Bessel Functions (size: 8K )

Higher-Order Equations (size: 9K)

 

• Handouts

Integral Curves (size: 30K )

Beats (size: 42K )

Phase Plane: Real Eigenvalues (size: 40K)

Phase Plane: Complex Eigenvalues (size: 63K)

Phase Plane: Generalized Eigenvectors(size: 33K)

Step Function Forcing (size: 31K)

Frobenius Series (size: 36K)

Bessel Functions (size: 33K )

Fourier Series (size: 45K )

 

Homework Sets

Homework Set 1 (size: 50K ) revised version posted 9/10/01

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

Homework Set 2 (size: 51K ) revised version posted 9/18/01

Separable ODEs, modeling, Euler's method, second-order homogeneous ODEs with constant coefficients (sections 2.2, 2.5, 2.7, 3.1, 8.1).

Homework Set 3 (size: 45K ) revised version posted 10/2/01

Fundamental solutions, complex and repeated roots of the characteristic equation (sections 3.2, 3.4, 3.5).

Homework Set 4 (size: 37K) revised version posted 10/7/01

Vibrations, inhomogeneous second-order ODEs with constant coefficients (sections 3.3, 3.6-3.9).

Homework Set 5 (size: 41K)

Linear independence, matrices, eigenvalues (sections 7.1-7.3).

Homework Set 6 (size: 38K ) revised version posted 10/23/01

Theory of first-order linear ODEs, solution of systems with constant coefficients, the phase plane (sections 7.4-7.6, 7.8, 7.9, 9.1).

Homework Set 7 (size: 47K)

Laplace transforms and ODEs (sections 6.1, 6.2).

Homework Set 8 (size: 45K) revised version posted 11/13/01

ODEs with discontinuous forcing, Laplace convolutions, power series (sections 5.1, 6.3, 6.4, 6.6).

Homework Set 9 (size: 32K) revised version posted 11/26/01

Ordinary points, regular singular points, Euler's and Bessel's equations (sections 5.2-5.6, 5.8).

Homework Set 10 (size: 38K)

Higher-order equations (sections 4.1-4.3).

Supplemental Study Material (size: 20K) revised version posted 12/5/01

Separation of variables; Fourier series (sections 10.2, 10.3, 10.5).

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