Mathematics 341 Download Page (Spring 2009)

• Textbooks:




Edwards, C. Henry, and Penney, David E. Differential Equations with Boundary Value Problems: Computing and Modeling , 4th ed. Upper Saddle River: Pearson, 2007.

Leon, Steven J. Linear Algebra with Applications, 7th ed. Upper Saddle River: Prentice-Hall, 2006.

 

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• Course Syllabus (size: unknown, not yet posted)

• Handouts

Integral Curves: Constant Coefficients (size: unknown, not yet posted)

Circuit Theory Review (size: unknown, not yet posted)

Integral Curves: Variable Coefficients (size: unknown, not yet posted)

Unforced Circuit (size: unknown, not yet posted)

Beats (size: unknown, not yet posted)

Invertible Matrices (size: unknown, not yet posted)

Phase Plane: Real Eigenvalues (size: unknown, not yet posted)

Phase Plane: Complex Eigenvalues (size: unknown, not yet posted)

Phase Plane: Generalized Eigenvectors (size: unknown, not yet posted)




Homework Sets

Homework Set 1 (size: unknown, not yet posted)

First-order modeling, separable equations (sections E1.1, E1.3, E1.4).


Homework Set 2 (size: unknown, not yet posted)

First- and second-order linear ODEs, population models (sections E1.5, E2.1, E3.1).

Homework Set 3 (size: unknown, not yet posted)

Second-order homogeneous ODEs with constant coefficients (sections E3.1-3.3).

Homework Set 4 (size: unknown, not yet posted)

Inhomogeneous second-order ODEs, modeling (sections E3.4-3.7).

Homework Set 5 (size: unknown, not yet posted)

Systems of linear equations, echelon forms (sections L1.1-L1.2).

Homework Set 6 (size: unknown, not yet posted)

Matrix algebra, elementary matrices (sections L1.3-L1.4).

Homework Set 7 (size: unknown, not yet posted)

Determinants, vector spaces and subspaces, linear independence (sections L2.1-L3.3).

Homework Set 8 (size: unknown, not yet posted)

Basis, dimension, change of basis, row space (sections L3.4-L3.6).

Homework Set 9 (size: unknown, not yet posted)

Eigenvalues, eigenvectors (section L6.1).

Homework Set 10 (size: unknown, not yet posted)

Diagonalization, hermitian matrices, first-order systems of homogeneous ODEs (sections L6.3, L6.4, E4.1, E5.1, E5.2, E5.4, E6.1).

Supplemental Study Material (size: unknown, not yet posted)

The matrix exponential (section E5.5).

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