Syllabus and Course Schedule |
|
| Week | Dates | Section | Topics |
| 0 | Aug 24 | n/a | Review of first semester calculus |
| 1 | Aug 27 Aug 29 Aug 31 |
5.5 5.6 Problems |
Fundamental Theorem of Calculus Method of Substitution |
| 2 | Sep 3 Sep 5 Sep 7 |
5.7 6.1 Problems |
Areas of Plane Regions Integration by Parts |
| 3 | Sep 10 Sep 12 Sep 14 |
6.2 6.3 Problems |
Inverse Substitutions Integrals of Rational Functions |
| 4 | Sep 17 Sep 19 Sep 22 |
6.5 6.6 Problems |
Improper Integrals Trapezoid and Midpoint Rules |
| 5 | Sep 24 Sep 25 Sep 26 Sep 28 |
Prelim Review Evening Prelim 7.1 Problems |
Covers through section 6.6 (see here) Volumes by slicing |
| 6 | Oct 1 Oct 3 Oct 5 |
7.2 7.3 Problems |
More Volumes by slicing Arc length and surface area |
| 7 | Oct 8 Oct 10 Oct 12 |
Fall Break 8.2 Problems |
Parametric curves |
| 8 | Oct 15 Oct 17 Oct 19 |
8.3 8.4 Problems |
Smooth Parametric curves and slopes Arclengths and Areas for parametric curves |
| 9 | Oct 22 Oct 24 Oct 25 Oct 26 |
9.1 Prelim Review Evening Prelim 9.2 |
Sequences and Convergence Covers through section 8.4 (see here) Infinite series |
| 10 | Oct 29 Oct 31 Nov 2 |
9.3 9.4 Problems |
Convergence tests for positive series Absolute vs. conditional convergence |
| 11 | Nov 5 Nov 7 Nov 9 |
9.5 9.6 Problems |
Power Series Taylor Series |
| 12 | Nov 12 Nov 14 Nov 16 |
9.7 9.8 Problems |
Applications of Taylor Series Binomial Series |
| 13 | Nov 19 Nov 21 Nov 23 |
7.9 Review Thanksgiving |
1st Order Differential Equations |
| 14 | Nov 26 Nov 28 Nov 30 |
17.1, 17.2 17.7 Problems |
Solving 1st Order Differential Equations Series solutions for Differential Equations |
The Final Exam is on Thursday, Dec 6, 2-4:30PM.
Review sessions for the final exam will be held during the study period, Dec 4 -6 , at
times and locations TBA.