Weekly Schedule, Calculus I & II Block 3 Colorado College 2002

Week One Chapters 2, 3, 4, 11.1.	Review of the basic problems in integral and differential calculus. Discussion of infinity and various paradoxes which arise. Discussion of limits of sequences and of functions. Review of methods for finding derivatives, and applications of derivatives. L'Hospitals Rule. Newton's Method.*
Week Two Chapters 4, 5, 11.2, 6, 11.9, 10, 7.2, 11.9, 7.8	Differentials*, The Mean Value Theorem. Finding areas in integral calculus. Geometric series. The Fundamental Theorem of calculus, substitution method, applications of the integral: finding area, volume, arclength. Physical applications of the integral: work. Parametric Curves, Cycloids. Trigonometric Integrals. Polar Coordinates.
Week Three *Chapters 9.1, 9.3, 7.3, 9.4, 9.7, and 11**	Integration by parts. Fourier and Power series. Differential equations. Shape of a hanging chain. Trigonometric Substitution. Population growth: exponential, logistic, predator/prey systems. Improper integrals. The Integral Test. Conditional and Absolute convergence. The Ratio Test. Taylor and McLaurin series.
Week Four	More on Power Series, Applications.