Date | Lecture | Sections | Topics Covered |
Monday 3/28 | 1 | 11.1 | Sequences: concepts, Squeeze Thm, Monotonic Seq Thm |
Wednesday 3/30 | 2 | 11.2, 11.3 | Geometric and harmonic series, integral test |
Friday 4/1 | 3 | 11.4, 11.5 | Comparison and alternating series tests |
Monday 4/4 | 4 | 11.6 | Absolute convergence, ratio and root tests |
Wednesday 4/6 | 5 | 11.8, 11.9 | Power series, radius of convergence, examples |
Friday 4/8 | 6 | 11.10 | Taylor series and remainder estimate |
Monday 4/11 | 7 | 11.12 | Applications of Taylor series and remainder estimate |
Wednesday 4/13 | 8 | 1.1, 1.2 | Introduction to ODE and linear growth/decay models |
Friday 4/15 | 9 | 1.3 | Linear first-order ODE |
Monday 4/18 | 10 | 2.1, 2.2 | Separable ODE, exact form and integrating factors |
Wednesday 4/20 | 11 | 2.3 | Graphical analysis of ODE |
Friday 4/22 | - | Midterm 1 | Stewart: 11.1-11.6, 11.8-11.10, 11.12. Conrad: 1.1-1.3, 2.1. |
Monday 4/25 | 12 | 2.4 | Initial value problems (IVP) in ODE |
Wednesday 4/27 | 13 | 2.5 | Nonlinear growth models and asymptotic behavior |
Friday 4/29 | 14 | 3.1, 3.2 | Systems of ODE and the phase plane |
Monday 5/2 | 15 | 3.4, 3.5 | Autonomous systems; Interacting population models |
Wednesday 5/4 | 16 | 4.1 | IVP for linear systems of ODE |
Friday 5/6 | 17 | 4.2 | Systems with constant coefficients |
Monday 5/9 | 18 | 4.4 | General solution of a linear system |
Wednesday 5/11 | 19 | 4.4 | Complete example from 4.4 and some related examples from 4.1 and 4.2 |
Friday 5/13 | 20 | 4.3, 2.2 | Complex numbers and eigenvalues, exact form and integrating factors |
Monday 5/16 | 21 | 5.1 | IVP for 2nd-order ODEs |
Wednesday 5/18 | 22 | 5.2, 5.3 | Homogeneous equations, and the case of constant coefficients |
Friday 5/20 | - | Midterm 2 | Conrad: 2.4, 2.5, 3.1, 3.2, 3.4, 3.5, 4.1-4.4, 5.1. |
Monday 5/23 | 23 | 5.5 | Inhomogeneous equations (method of undetermined coefs) |
Wednesday 5/25 | 24 | 5.8 | Variation of constants/parameters |
Friday 5/27 | 25 | 6.1, 6.3 | Definition and properties of the Laplace transform |
Monday 5/30 | - | Holiday | Memorial Day |
Wednesday 6/1 | 26 | 6.4 | Inverse transforms of rational functions |
Friday 6/3 | 27 | 7.1, 7.2 | Series solutions of ODE at a regular point |
Friday 6/10 | - | Final Exam | Cumulative! |