MA 36600— Fall 2025  

Lecture 1: Introduction and 1.1 Basic Mathematical Models; Direction fields—Video | Notes

Lecture 2: 1.1 (continued) and 1.2 Solutions of Some Differential Equations—Video | Notes

Lecture 3: 1.2 (continued) and 1.3 Classification of Differential Equations—Video | Notes

Monday, 9/1—Labor Day (no class)

Lecture 4: 2.1 First Order Linear Equations—Video | Notes

Lecture 5: 2.2 Separable Equations—Video | Notes

Lecture 6, 2.2 (continued), 2.3 Modeling with First-Order Differential Equations—Video | Notes

Lecture 7: 2.3 (continued)—Video | Notes

Lecture 8: 2.4 Difference Between Linear and Nonlinear Differential Equations—Video | Notes

Lecture 9, 2.4 (continued), 2.5 Autonomous Differential Equations—Video | Notes

Lecture 10, 2.5 (continued), 2.6 Exact Differential Equations—Video | Notes

Lecture 11, 2.6 (continued)—Video | Notes

Lecture 12, 2.7 Euler's Method, 3.1 Linear Homogeneous Diff. Eqs. with Constant Coefficients—Video | Notes

Lecture 13, 3.1 (continued), 3.2 Fundamental Solutions of Linear Homogeneous Equations—Video | Notes

Lecture 14, 3.2 (continued)—Video | Notes

Lecture 15, 3.3 Complex Roots of the Characteristic Eq., 3.4 Repeated Roots and Reduction of Order—Video | Notes

Exam 1 Review—Video| Notes

Lecture 16, 3.5 Undetermined Coefficients—Video | Notes

Lecture 17, 3.5 (continued)—Video | Notes

Lecture 18, 3.6 Variation of Parameters—Video | Notes

Lecture 19, 3.6 (continued)—Video | Notes

Lecture 20, 3.7 Mechanical Vibrations—Video | Notes

Lecture 21, 3.7 (continued)—Video | Notes

Lecture 22, 3.8 Forced Periodic Vibrations—Video | Notes

Lecture 23, 4.1-4.2 Higher-Order ODEs—Video | Notes

Lecture 24, 4.3 Undetermined Coefficients, 6.1 Definition of Laplace Transform—Video | Notes

Lecture 25, 6.1 (continued)—Video | Notes

Lecture 26, 6.2 Solution of Initial-Value Problems—Video | Notes

Lecture 27, 6.3 Step Functions—Video | Notes

Lecture 28, 6.4 Differential Equations with Discontinuous Forcing Functions—Video | Notes

Lecture 29, 6.4 (continued), 6.5 Impulse Functions—Video | Notes

Lecture 30, 6.5 (continued)—Video | Notes

Exam 2 Review—Video | Notes

Lecture 31, 6.6 The Convolution Integral—Video | Notes

Lecture 32, 7.1-7.3 Systems of 1st-order Equations and Linear Algebra Review—Video | Notes

Lecture 33, 7.4 Basic Theory of System of First-Order Equations—Video | Notes

Lecture 34, 7.5 Homogeneous Systems with Constant Coefficients—Video | Notes | Accessible Version (experimental)

Lecture 35, 7.6 Complex Eigenvalues, 7.8 Repeated Eigenvalues—Video | Notes | Accessible Version (experimental)

Lecture 36, 7.8 (continued), 7.7 Fundamental Matrices—Video | Notes | Accessible Version (experimental)

Lecture 37, 7.9 Nonhomogeneous Systems—Video | Notes | Accessible Version (experimental)

Lecture 38, 5.2 Series Solutions Near Ordinary Points—Video | Notes | Accessible Version (experimental)

Exam 2 Review—Video | Notes | Accessible Version (experimental)