Syllabus Fall 2019
Lecture Notes Fall 2019(not comprehensive, updating)
Textbook Information
- “A First Course in Differential Equations with Modeling Applications(11E)” by Dennis G. Zill. Purchasing detail see Math 2410Q Book Options.pdf.
- WebAssign access is NOT required.
Supplementary Materials
- Algebra Review (common algebra facts in Math 2410Q)
- Advance Problems to think about
Practices
Week 1 ———– Solution
Week 2 ———– Solution
Week 3 ———– Solution
Week 4 Practice———–Solution
Week 5 Practice———–Solution
Week 6 practice———–Solution
Week 7 Practice———–Solution
Week 8 Practice———–Solution
Week 9 Practice———–Solution
Week 10 practice———–solution
Tentative Schedule
Actual schedule subject to change, please check HuskyCT for up to date information.
| W1 | 8/26: 1.1 (1) | Intro (1): Definitions and Terminology |
| 8/28: 1.1(2)+1.2 | Intro (2), Initial-Value Problems | |
| 8/30: 1.4 | Newton’s Law, Practice | |
| W2 | 9/2: 🙂 | Labor Day |
| 9/4: 2.1(1) | Solution Curve, Direction Field, Phase Portrait | |
| 9/6: 2.2 | Separable Equation, Practice | |
| W3 | 9/9: 2.1(2) | Quiz, Autonomous Equation |
| 9/11: 2.4(1)+2.3(1) | Exact Equation, Linear Equation(formula) | |
| 9/13: | Practice | |
| W4 | 9/16: 2.3(2) | Quiz, Linear Equation(theory) |
| 9/18: 2.4(2)+2.5(1) | Make Nonexact DE Exact, Bernoulli DE | |
| 9/20: 2.5(2) | Homogeneous Equation, Reduction to Separation of Variables, Practice | |
| W5 | 9/23: 2.6+9.1 | Quiz, Euler’s Method, Error Analysis |
| 9/25: 7.1 | Definition of Laplace Transform, Review | |
| 9/27: 🙂 | EXAM 1 | |
| W6 | 9/30: 7.2 | Inverse Transforms and Transforms of Derivatives |
| 10/2: 7.2*+7.3(1) | Partial Fraction Decomposition, Translation on the s-Axis | |
| 10/4: 7.3(2) | Translation on the t-Axis, Practice | |
| W7 | 10/7: 7.4(1) | Quiz, Derivative of a Transform |
| 10/9: 7.4(2)+7.6 | Transform of Integrals and Periodic Functions, System of DEs | |
| 10/11: | Practice | |
| W8 | 10/14: 3.1 | Quiz, Linear Models |
| 10/16: 3.2 | Nonlinear Models | |
| 10/18: 3.3 | Modeling with System, Practice | |
| W9 | 10/21: 4.1(1) | Quiz, Preliminary Theory of Higher Order Linear Equations |
| 10/23: 4.1(1)+4.3(1) | Pre. Theo. of Higher Order Linear Eq’s, Complex Number Overview | |
| 10/25 | Review | |
| W10 | 10/28: 🙂 | EXAM 2 |
| 10/30: 4.3(2) | Homogeneous Linear Equation with Constant Coefficients | |
| 11/1: 4.2 | Reduction of Order, Practice | |
| W11 | 11/4: 4.6(1) | Quiz, Variation of Parameter(formula) |
| 11/6: 4.4 | Undetermined Coefficients – Superposition Approach | |
| 11/8: 4.6(2) | Variation of Parameters(theory), Practice | |
| W12 | 11/11: 4.7 | Quiz, Cauchy-Euler Equations |
| 11/13: ch5+8.1(1) | Boundary Value Problem, Preliminary Theory of Linear System(1) | |
| 11/15: 8.1(2) | Preliminary Theory of Linear System(2), Practice | |
| W13 | 11/18: B | Quiz, Matrices |
| 11/20: 8.2(1) | Homogeneous Linear System (1) | |
| 11/22: 8.2(2) | Homogeneous Linear System (2) | |
| W14 | 🙂 | Thanksgiving Recess |
| W15 | 12/2: 8.2(3) | Homogeneous Linear System(3) |
| 12/4 | Quiz, Review | |
| 12/6 | Review | |
| W16 | Final Exam: Cumulative |
Junqing Qian 