| 1/22 |
Some Basic Mathematical Models; Direction Fields (Sec 1.1) Course overview |
| 1/24 |
Solutions of Some Differential Equations (Sec 1.2) |
| 1/27 |
Classification of Differential Equations (Sec 1.3) |
| 1/29 |
Linear Equations; Method of Integrating Factors, part 1 (Sec 2.1) |
| 1/31 |
Linear Equations; Method of Integrating Factors, part 2 (Sec 2.1) |
| 2/3 |
Separable Equations (Sec 2.2) |
| 2/5 |
Differences Between Linear and Nonlinear Equations (Sec 2.4) |
| 2/7 |
Autonomous Equations and Population Dynamics, part 1 (Sec 2.5) |
| 2/10 |
Autonomous Equations and Population Dynamics, part 2 (Sec 2.5) |
| 2/12 |
Homogeneous Equations with Constant Coefficients (Sec 3.1) |
| 2/14 |
Solutions of Linear Homogeneous Equations; the Wronskian (Sec 3.2) |
| 2/17 |
Review |
| 2/19 |
No class. Midterm 1 Info, Exam solution (Practice (Ignore Problems 2, 10), Solution) |
| 2/21 |
Complex Roots of the Characteristic Equations (Sec 3.3) |
| 2/24 |
Repeated Roots; Reduction of Order (Sec 3.4) |
| 2/26 |
Nonhomogeneous Equations; Method of Undetermined Coefficients (Sec 3.5) |
| 2/28 |
Variation of Parameters (Sec 3.6) |
| 3/2 |
Mechanical and Electrical Vibrations, part 1 (Sec 3.7) |
| 3/4 |
Mechanical and Electrical Vibrations, part 2 (Sec 3.7) |
| 3/6 |
Forced Vibrations, part 1 (Sec 3.8) |
| 3/9 |
Forced Vibrations, part 2 (Sec 3.8) |
| 3/11 |
General Theory of nth Order Linear Equations (Sec 4.1) |
| 3/13 |
Homogeneous Equations with Constant Coefficients (Sec 4.2) |
| 3/23 |
Review |
| 3/25 |
The Method of Undetermined Coefficients (Sec 4.3) |
| 3/27 |
Two-Point Boundary Value Problems, part 1 (Sec 10.1) |
| 3/30 |
Two-Point Boundary Value Problems, part 2 (Sec 10.1) |
| 4/1 |
No class. Midterm 2. Info (Practice, Solution) (last update: 3/11/2020) MCQ solutions, FRQ solutions, Conflict exam solutions |
| 4/3 |
Fourier Series, part 1 (Sec 10.2) (last update: 4/3/2020) |
| 4/6 |
Fourier Series, part 2 (Sec 10.2) |
| 4/8 |
The Fourier Convergence Theorem (Sec 10.3) |
| 4/10 |
Even and Odd Functions (Sec 10.4) |
| 4/13 |
Separation of Variables; Heat Conduction in a Rod (Sec 10.5) (Password changed. Please check the Moodle or Email.) |
| 4/15 |
Other Heat Conduction Problems (Sec 10.6) |
| 4/17 |
The Wave Equation: Vibrations of an Elastic String, part 1 (Sec 10.7) |
| 4/20 |
Review |
| 4/22 |
No class. Midterm 3.Info (Practice, Solution) (last update: 4/15/2020) Exam Guide; For conflict |
| 4/24 |
The Wave Equation: Vibrations of an Elastic String, part 2 (Sec 10.7) |
| 4/27 |
Laplace's Equation, part 1 (Sec 10.8) |
| 4/29 |
Laplace's Equation, part 2 (Sec 10.8) |
| 4/26-4/29 |
Midterm 3 FRQ Due: 4/29 at 8 pm Info, Problem, Solution |
| 5/1 |
The Occurrence of Two-Point Boundary Value Problems (Sec 11.1) |
| 5/4 |
Sturm-Liouville Boundary Value Problems (Sec 11.2) |
| 5/6 |
Review |
| 5/9-5/12 |
Free-response questions, available on 5/9 (Sat) at 8 pm, due date is 5/12 (Tue) at 8 pm, on the Moodle, Solution |
| 5/13 |
Multiple-choice questions, at 1:30 pm - 4 pm on Webassign Solution for regular exam, Solution for conflict, (Practice, Solution) (last update: 5/1/2020) |