Math 114: Calculus: Differential Equations and Power Series
This syllabus is incomplete and tentative, and will be superseded by later versions as the course evolves. Details on assignments can be found on the assignments webpage.
Homework problems from the sections covered on Thursday are due on Tuesday; homework problems from the sections covered on Tuesday are due on Friday.
| Week and Date |
Topic | Notes |
| 1: 9/6 |
Th: Ch. 2, 5.1-3: Review derivatives and integrals |
|
| 2: 9/11-13 |
Tu: 5.3, 7.1: Fundamental Thm of Calculus, Substitution Th: 11.1-2: Differential equations and slope fields |
Th: Quiz |
| 3: 9/18-20 |
Tu: 11.3-4: Euler's method, Separation of variables Th: 11.4-5 Separation of variables, Growth and decay |
Th: Quiz Th: Project due |
| 4: 9/25-27 |
Tu: 11.7 The logistic model Th: 11.7 The logistic model |
Quiz |
| 5: 10/2-4 |
Tu: 7.2: Integration by Parts Th: 7.4: Partial fractions/trig identities |
First exam 10/1-10/4 |
| 6: 10/9-11 |
Tu: No class: fall break Th: 7.5, 7.7: Approximating definite integrals; Improper integrals |
Th: Quiz Th: Project due |
| 7: 10/16-18 |
Tu: 7.8: Comparing improper integrals Th: 9.1: Sequences |
Th: Quiz |
| 8: 10/23-25 |
Tu: 9.2: Series Th: 10.1: Taylor polynomials |
Th: Quiz |
| 9: 10/30-11/1 |
Tu: 10.2: Taylor series Th: 10.3: Finding/using Taylor series |
Th: Quiz |
| 10: 11/6-8 |
Tu: 9.3: Convergence of series Th: No class: Otelia Cromwell Day | Second exam 11/5-11/8 |
| 11: 11/13-15 |
Tu: 9.4: Tests for convergence Th: 9.5: Power series, interval of convergence | Th: Quiz Th: Project due |
| 12: 11/20-22 |
Tu: 10.4: Errors in Taylor polynomial approximations Th: No class: Thanksgiving |
|
| 13: 11/27-29 |
Tu: 11.8: Systems of differential equations Th: 11.8: Systems of differential equations | Th: Quiz |
| 14: 12/4-6 |
Tu: 11.9 Th: Functions of two variables |
Th: Quiz Th: Project due |
| 15: 12/11-13 |
Tu: Function of two variables Th: Review |