M CC 161, Section 5, Fall 05: Tentative Syllabus Text: Thomas' Calculus. Eleventh Edition, Weir, Hass and Giordano Date Aug 22 Aug 23 Aug 24 Aug 26 Day Mon Tue Wed Fri Section 7.1 7.2 7.2 Topic Inverse functions and their derivatives Algebra­Trigonometry exam Natural logarithms Natural logarithms Aug 29 Aug 30 Sept 31 Sept 2 Mon Tue Wed Fri 7.3 7.3 7.4 9.1 Exponentials Exponentials General exponential and logarithmic functions Separable differential equations Sept 5 Sept 6 Sept 7 Sept 9 Mon Tue Wed Fri 7.6 7.5 7.7 Labor Day: No class Relative rates of growth Exponential growth and decay Inverse trigonometric functions Sept 12 Sept 13 Sept 14 Sept 15 Sept 16 Mon Tue Wed Thur Fri 7.7­7.8 Inverse trigonometric and hyperbolic functions Lab 1 Meet in Weber 205: Intro and Inverse Trig Functions Review Exam 1: 5:15­7:00pm With Calculator: Common Exam all sections 8.1 Integration formulas Sept 19 Sept 20 Sept 21 Sept 23 Mon Tue Wed Fri 8.2 8.3 8.3 8.4 Integration by parts Partial fractions Partial Fractions Trigonometric Integrals Sept 26 Sept 27 Sept 28 Sept 30 Mon Tue Wed Fri 8.5 Chapter 8 8.8 11.1 Trigonometric Substitution Identifying integrals Improper Integrals Sequences Oct 3 Oct 4 Oct 5 Oct 7 Mon Tue Wed Fri A.3 11.1 Notes Notes Limits Sequences Linear and quadratic approximations Taylor polynomials with error term Oct 10 Oct 11 Oct 12 Oct 13 Oct 14 Mon Tue Wed Thur Fri Notes Taylor polynomials with error term Lab 2 Meet in Weber 205: Taylor polynomials Review Exam 2: 5:15­7:00pm Without calculator: common exam all sections 11.2 Infinite series Oct 17 Oct 18 Oct 19 Oct 21 Mon Tue Wed Fri 11.3 11.3 11.4 11.5 Intergral test (last day to drop with a W) Integral test Comparison test Ratio test Oct 24 Oct 25 Oct 26 Oct 28 Mon Tue Wed Fri 11.6 11.6 11.7 11.8 Alternating series, absolute and conditional convergence Alternating series, absolute and conditional convergence Power series Taylor and Maclaurin Series Oct 31 Nov 1 Nov 2 Nov 4 Mon Tue Wed Fri 11.9 11.10 11.10 10.5 Convergence of Taylor series­error estimates Applications of power series Application of power series Polar coordinates Nov 7 Nov 8 Nov 9 Nov 11 Mon Tue Wed Fri 10.5 10.6 3.5, 6.3 10.7 Polar coordinates Graphing of polar coordinates Parametric Curves, Lengths of Parametric Cuves Areas and Lengths in Polar Coordinates Nov 14 Nov 15 Nov 16 Nov 17 Nov 18 Mon Tue Wed Thur Fri 10.7 Areas and Lengths in Polar Coordinates Lab 3 Meet in Weber 205: Polar Coordinates Review Exam 3: 5:15­7:00pm With Calculator: Common Exam all sections 8.7 Numerical integration Nov 19­27 Thanksgiving vacation Nov 28 Nov 29 Nov 30 Dec 2 Mon Tues Wed Fri Dec 5 Dec 6 Dec 7 Dec 9 Mon Tue Wed Fri Dec 14 Wed 8.7 Lab 4 A.5 A.5 Numerical integration Meet in Weber 205: Numerical Integration Complex numbers Complex numbers Review chapter 7 Review chapter 8 Review chapter 11 Review chapter 10 Final Exam: 9:10­11:10 With Calculator: Common Exam all Sections