MATH 351 Download Page

• Textbooks:

Poole, David. Linear Algebra: A Modern Introduction, 4th ed. Stamford: Cengage, 2015.

Zill, Dennis G., and Wright, Warren S. Advanced Engineering Mathematics, 7th ed. Burlington: Jones and Bartlett, 2020.

• Suggestion Box

• Course Syllabus (size: 152K) revised version posted 12/1/21
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• Bridge collapse under forcing at resonance
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• Handouts

Calculus Review (size: 172K)	Proof Techniques (size: 186K)
Circuit Theory Review (size: 121K)	Invertible Matrices (size: 170K) revised version posted 10/18/21
Integral Curves: Constant Coefficients (size: 137K)	Coordinate Systems (size: 118K)
Integrating Factors (size: 171K)	Similarity Transformations (size: 151K)
Nonlinear Equations (size: 161K)	Phase Plane: Real Eigenvalues (size: 311K)
Amplitude-Phase Form (size: 217K)	Phase Plane: Imaginary Eigenvalues (size: 155K)
Unforced Spring (size: 165K)	Phase Plane: Complex Eigenvalues (size: 165K)
Beats (size: 172K)	Phase Plane: Generalized Eigenvectors (size: 272K)

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• Homework Sets

Homework Set 1 (size: 196K) revised version posted 8/31/21, Solution Set (size: 241K)

First-order modeling, integrating factors (sections Z1.1, Z2.3).

Homework Set 2 (size: 125K), Solution Set (size: 150K)

First- and second-order linear ODEs (sections Z1.2, Z2.2, Z3.1).

Homework Set 3 (size: 185K), Solution Set (size: 208K)

Second-order homogeneous ODEs with constant coefficients, reduction of order (sections Z3.2, Z3.3).

Homework Set 4 (size: 298K) revised version posted 10/7/21, Solution Set (size: 329K)

Inhomogeneous second-order ODEs, modeling, systems of linear equations (sections Z3.4, Z3.5, Z3.8, P2.1).

Homework Set 5 (size: 150K), Solution Set (size: 171K)

Echelon forms, matrix-vector multiplication (sections P2.2, P3.1, P3.2).

Homework Set 6 (size: 137K), Solution Set (size: 136K)

Matrix algebra, elementary matrices, determinants (sections P3.3, P4.2).

Homework Set 7 (size: 144K) revised version posted 10/29/21, Solution Set (size: 154K)

Vector spaces and subspaces, linear independence, basis, dimension, rank, row and column space (sections P2.3, P3.5, P6.1, P6.2).

Homework Set 8 (size: 142K) revised version posted 11/16/21, Solution Set (size: 151K)

Change of basis, eigenvalues, eigenvectors (section P4.1, P4.3, P6.3).

Homework Set 9 (size: 174K) revised version posted 12/7/21, Solution Set (size: 687K) revised version posted 12/13/21

Diagonalization, first-order systems of homogeneous ODEs (sections P4.4, Z2.9, Z10.1, Z10.2, Z11.2).

Supplemental Study Material (size: 147K) revised version posted 12/8/21, Solution Set (size: 172K)

The matrix exponential (section Z10.3).

Return to the syllabi download page.