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: 146K) revised version posted 9/5
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• Online Resources

I don’t officially endorse any of these links, but they are a place to get started.
Integrating Factors (do NOT use Khan Academy)	Variation of Parameters
Separable Equations
Second-Order Constant Coefficient Equations
Bridge collapse under forcing at resonance

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• Handouts

Calculus Review (size: 205K) revised version posted 9/8	Proof Techniques (size: 195K)
Circuit Theory Review (size: 181K)	Invertible Matrices (size: 179K)
Integral Curves: Constant Coefficients (size: 207K)	Facts About Vectors (size: 155K)
Integrating Factors (size: 174K)	Coordinate Systems (size: 126K)
Nonlinear Equations (size: 171K)	Similarity Transformations (size: 196K)
Logistic Growth (size: 154K)	First-Order Systems (size: 229K)
Amplitude-Phase Form (size: 228K)	Phase Plane: Real Eigenvalues (size: 320K)
Unforced Spring (size: 176K)	Phase Plane: Imaginary Eigenvalues (size: 197K)
Inhomogeneous Equations (size: 257K)	Phase Plane: Complex Eigenvalues (size: 274K)
Beats (size: 181K)	Phase Plane: Generalized Eigenvectors (size: 286K)

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• Homework Sets

Homework Set 1 (size: 189K) revised version posted 9/6, Solution Set (size: 174K)

First-order linear modeling and ODEs (sections Z1.1, Z2.3).

Homework Set 2 (size: 172K), Solution Set (size: 203K)

First-order nonlinear modeling and ODEs, second-order linear ODEs (sections Z1.1, Z1.2, Z2.2, Z2.8, Z3.1).

Homework Set 3 (size: 185K), Solution Set (size: 317K)

Second-order homogeneous ODEs with constant coefficients (sections Z3.1-Z3.3).

Homework Set 4 (size: 174K) revised version posted 9/27, Solution Set (size: 213K)

Homogeneous modeling, undetermined coefficients (sections Z3.4, Z3.8).

Homework Set 5 (size: 279K) revised version posted 10/6, Solution Set (size: 286K)

Inhomgeneous modeling, variation of parameters, echelon forms, matrix-vector multiplication (sections Z3.5, Z3.8, P2.1, P2.2, P3.1, P3.2).

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

Matrix algebra, elementary matrices (sections P3.1-P3.3).

Homework Set 7 (size: 142K), Solution Set (size: 137K)

Determinants, linear independence (sections P2.3, P4.2).

Homework Set 8 (size: 143K), Solution Set (size: 170K)

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

Homework Set 9 (size: 135K), Solution Set (size: 160K)

Eigenvalues, eigenvectors (section P4.1, P4.3).

Homework Set 10 (size: 220K) revised version posted 12/2, Solution Set (size: 538K)

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

Supplemental Study Material (size: 111K), Solution Set (size: 239K)

First order defective systems (sections Z10.2, Z11.2).

Return to the syllabi download page.