M408C: Differential and Integral Calculus, Sections 56280/85/90, Spring 2009 W 1/21 First Class Day (Appendix A #17,23,27,39,51,55; Appendix D #59,61,69,71,73) F 1/23 2.1 The Tangent and Velocity Problems (#1,3,5,7,9) M 1/26 2.2 The Limit of a Function (#6,7,10,12,25,27,36,39) W 1/28 2.3 Calculating Limits Using the Limit Laws (#1,2,11,13,17,23,25,39,41,61) F 1/30 2.5 Continuity (#3,5,7,13,14,21,27,39,41,47,49) M 2/02 3.1 Derivatives and Rates of Change (#7,11,12,15,17,19,27,29,47,49) *W 2/04 3.2 The Derivative as a Function (#3,7,12,23,31,33,36,39) F 2/06 3.3 Differentiation Formulas (#1,7,13,19,25,31,41,51,52) M 2/09 3.4 Derivatives of Trigonometric Functions (#1,3,5,7,9,11,13,15,21,29,33,35) W 2/11 No lecture F 2/13 No lecture *M 2/16 No lecture W 2/18 3.5 The Chain Rule (#7,11,15,19,23,25,33,37,49,59,69,75) F 2/20 3.6 Implicit Differentiation (#1,11,13,15,17,25,33,43) M 2/23 4.1 Maximum and Minimum Values (#3,5,7,11,31,37,41,45,51,55,67) W 2/25 4.2 The Mean Value Theorem (#1,5,7,11,19,23,25) F 2/27 Midterm Exam 1 (Sections 2.1-2.3, 2.5, 3.1-3.6) M 3/02 4.3 How Derivatives Affect the Shape of a Graph (#1,5,7,11,13,15,21,27,35,39,41,49) W 3/04 4.4 Limits at Infinity (#3,13,15,17,19,23,25,27,29,35,37) F 3/06 4.7 Optimization Problems (#1,5,7,11,13,17,27,37,41,45) M 3/09 4.9 Antiderivatives (#1,3,5,7,9,11,13,19,43,47,67) W 3/11 5.1 Areas and Distances (#1,3,11,13,15) F 3/13 5.2 The Definite Integral (#5,19,29,33,35,39,47,49,50,52,53) M 3/16 Spring break W 3/18 Spring break F 3/20 Spring break M 3/23 5.3 The Fundamental Theorem of Calculus (#3-35 odd, 51,55,63) W 3/25 5.4 Indefinite Integrals and the Net Change Theorem (#7,11,15,19,23,27,31,35,47,55,57,60) F 3/27 5.5 The Substitution Rule (#1,3,5,9,15,17,23,27,37,39,55,57) *M 3/30 6.1 Areas between Curves (#1,3,5,7,11,15,19,29,45,49) W 4/01 6.2 Volumes (#1,3,5,23,27,45,47,52) F 4/03 Midterm Exam 2 (Chapters 4 & 5) M 4/06 7.1 Inverse Functions (#7,11,27,31,37,43,47,55,67,75,77,79,87) W 4/08 7.2* Natural Logarithm (#21,25,29,31,35,37,47,55,59,65,67,69) F 4/10 7.3* Exponential Function (#7,11,27,31,37,43,47,55,67,75,77,79,87) M 4/13 7.4* General Logarithmic and Exponential (#9,17,27,29,31,35,45,47,49,51,57) W 4/15 7.5 Exponential Growth and Decay (useful but boring) F 4/17 7.6 Inverse Trigonometric Functions (#7,9,23,25,31,45,47,59,61,63,65,67) M 4/20 8.1 Integration by Parts (#3,5,7,9,13,17,21,23,25,63) W 4/22 8.1 Integration by Parts (continued) F 4/24 8.2 Trigonometric Integrals (#3,7,15,17,23,27,37,43,45,65) M 4/27 8.3 Trigonometric Substitution (#5,7,9,11,13,15,17,19,21,23) W 4/29 8.4 Partial Fractions (#1,3,5,9,11,17,21,29,35,63) F 5/01 Midterm Exam 3 (Chapters 6 & 7, Sections 8.1-2) M 5/04 8.5 Strategy for Integration (work lost of problems) W 5/06 8.5 Strategy for Integration (continued) F 5/08 Review for Final Exam, Course Instructor Evaluations