Mathematics 341 Download Page (Fall 1998)

• Textbooks:

Boyce, William E., and DiPrima, Richard C. Elementary Differential Equations and Boundary Value Problems, 6th ed. New York: Wiley, 1997.

Leon, Steven J. Linear Algebra with Applications, 5th ed. New York: Prentice-Hall, 1997.

 
• Newsgroup: udel.fall98.math341-010


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• Course Syllabus (size: 14K)


• Handouts

Integral Curves (size: 36K)

Beats (size: 44K)

Phase Plane: Real Eigenvalues (size: 47K)

Phase Plane: Complex Eigenvalues (size: 68K)

Phase Plane: Generalized Eigenvectors (size: 41K)

 

Homework Sets

Homework Set 1 (size: 49K)

First order linear ODEs (sections B2.1 and B2.2).

Homework Set 2 (size: 40K)

Separable and nonlinear first-order ODEs, modeling, second-order homogeneous ODEs with constant coefficients (sections B2.3-B2.6 and B3.1).

Homework Set 3 (size: 48K)

Fundamental solutions, complex and repeated roots of the characteristic equation, modeling (sections B3.2, B3.4, B3.5, and B3.8).

Homework Set 4 (size: 39K)

Method of undetermined coefficients, variation of parameters (sections B3.6 and B3.7).

Homework Set 5 (size: 63K)

Forced vibrations, systems of linear equations, echelon forms (sections B3.7, B3.9, L1.1, and L1.2).

Homework Set 6 (size: 45K)

Matrix algebra, elementary matrices, determinants (sections L1.3, L1.4, and L2.1).

Homework Set 7 (size: 42K)

Properties of determinants, Cramer's Rule, vector spaces and subspaces, linear independence (sections L2.2-L3.3).

Homework Set 8 (size: 45K)

Dimension, change of basis, row and column spaces (sections L3.4-L3.6).

Homework Set 9 (size: 42K)

Eigenvalues, eigenvectors, and diagonalization (sections L6.1, 6.3).

Homework Set 10 (size: 50K)

Hermitian matrices, diagonalizable first-order systems of homogeneous ODEs with constant coefficients (sections L6.4, B7.1, 7.4, 7.5).

Supplemental Study Material (size: 43K)

Complex and repeated eigenvalues of first-order systems, the matrix exponential (sections B7.6-7.8).

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