All sections refer to James Stewart, Calculus: Early Transcendentals, 7th Edition.
Sections | ||
Jan. 20 | 5.1-5.5 | Review of integration, Fundamental Theorem of Calculus, integration by substitution. |
Jan. 22 | 7.1 | Integration by parts. |
Jan. 27, 29 | 7.2, 7.3 | Trigonometric integrals, trigonometric substitutions |
Feb. 3, 5 | 7.4, 7.5 | Partial fractions, strategies for integration. |
Feb. 10 | 7.8 | Improper integrals, review. |
Feb. 12 | First Midterm. | |
Feb. 17, 19 | 6.2, 6.3, 8.1, 8.2 | Review of volumes. Arc length, surface area. |
Feb. 24, 26 | 11.1, 11.2 | Sequences, series |
March 3, 5 | 11.3, 11.4 | Integral test, comparison test. |
March 10, 12 | 11.5, 11.6 | Alternating series, absolute convergence, ratio test, root test. |
March 16 – 20 | Spring Break | |
March 24, 26 | 11.6, 11.7 | More on ratio and root tests. Strategies for testing convergence. Review. |
March 31 | Second Midterm. | |
April 2 | 11.8 | Power series. |
April 7, 9 | 11.9, 11.10 | Power series as functions, Taylor series. |
April 14, 16 | 11.10, 9.1 | More on Taylor series. Differential equations. |
April 21, 23 | 9.3, 9.4 | Separable equations. Exponential growth and logistic equations. |
April 28, 30 | 9.5 | Linear equations. Review. |