Mathematics 341 Download Page (Fall 1999)

• 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.

 

• Suggestion Box

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• Course Syllabus (size: 11K)
• Updated Syllabus (size: 4K)
  
 
• Handouts

Integral Curves (size: 30K)

Beats (size: 44K)

Phase Plane: Real Eigenvalues (size: 40K)

Phase Plane: Complex Eigenvalues (size: 63K)

Phase Plane: Generalized Eigenvectors (size: 33K)




Homework Sets

Homework Set 1 (size: 52K) revised version posted 9/8/99

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

Homework Set 2 (size: 43K) revised version posted 9/18/99

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: 51K)

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: 46K)

Method of undetermined coefficients, variation of parameters, forced vibrations (sections B3.6, B3.7, and B3.9).

Homework Set 5 (size: 41K) revised version posted 10/11/99

Systems of linear equations, echelon forms, and matrix algebra (sections L1.1-L1.3).

Homework Set 6 (size:36K) revised version posted 10/20/99

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

Homework Set 7 (size: 35K) revised version posted 11/1/99

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

Homework Set 8 (size: 45K) revised version posted 11/11/99

Basis, dimension, change of basis, column spaces (sections L3.4-L3.6).

Homework Set 9 (size: 24K) revised version posted 11/12/99

Row spaces, eigenvalues, eigenvectors (sections L3.6, L6.1).

Homework Set 10 (size: 45K)

Diagonalization, hermitian matrices, first-order systems of homogeneous ODEs with constant coefficients and distinct real eigenvalues (sections L6.3, L6.4, B7.1, B7.4, B7.5).

Supplemental Study Material (size: 41K)

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

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