Mathematics 341 Download Page (Spring 2006)

• Textbooks:

Edwards, C. Henry, and Penney, David E. Differential Equations with Boundary Value Problems: Computing and Modeling , 3rd ed. Upper Saddle River: Pearson, 2000.

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

 

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• Course Syllabus (size: 108K) revised version posted 2/8/06
  

• Handouts

Integral Curves: Constant Coefficients (size: 36K)

Circuit Theory Review (size: 52K)

Integral Curves: Variable Coefficients (size: 28K)

Unforced Circuit (size: 36K)

Beats (size: 68K)

Invertible Matrices (size: 32K)

Phase Plane: Real Eigenvalues (size: 156K)

Phase Plane: Complex Eigenvalues (size: 160K)

Phase Plane: Generalized Eigenvectors (size: 148K)




Homework Sets

Homework Set 1 (size: 60K)

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


Homework Set 2 (size: 64K) revised version posted 2/21/06

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

Homework Set 3 (size: 64K)

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

Homework Set 4 (size: 84K) revised version posted 3/7/06

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

Homework Set 5 (size: 58K) revised version posted 3/21/06

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

Homework Set 6 (size: 24K)

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

Homework Set 7 (size: 28K)

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

Homework Set 8 (size: 36K) revised version posted 4/19/06

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

Homework Set 9 (size: 28K)

Eigenvalues, eigenvectors (section L6.1).

Homework Set 10 (size: 64K) revised version posted 5/15/06

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

Supplemental Study Material (size: 20K)

Repeated eigenvalues for first-order systems of homogeneous ODEs (section E5.4).

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