Mathematics 351-010Engineering Mathematics I Fall 2022Department of Mathematical Sciences University of Delaware

As of May 6, 2024, large portions of this site are offline.

• 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).