## Mathematics 351-014Engineering Mathematics I Fall 2021Department of Mathematical Sciences University of Delaware

### As of December 23, 2021, large portions of this site are offline.

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