AB Calculus - Winter 2012

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Date Assignment Description
Tues, 11/27 HW 36 Extreme value theorem; Fermat's theorem; first derivative test
Wed, 11/28 HW 37 Second derivative test; Rolle's theorem
Thurs, 11/29 HW 38 Mean value theorem
Fri, 11/30 HW 39 Antiderivatives, including initial values
Mon, 12/3 HW 40 Calculating area: an introduction to integration
Tues, 12/4 HW 41 Approximating areas with Riemann sums
Wed, 12/5 HW 42 Riemann sums with more subdivisions, including taking the limit to find the exact area
Thurs, 12/6 HW 43 Definite integrals with "backwards" area or area below the x-axis; area functions
Fri, 12/7 HW 44 Formally stated the limit definition of an area function
Mon, 12/10 HW 45 Fundamental Theorem of Calculus (both parts)
Tues, 12/11 HW 46 Derivatives of integral functions; proved Part 1 of the FToC; FToC and discontinuous functions
Wed, 12/12 HW 47 Properties of definite integrals
Thurs, 12/13   HW Q&A; used a limit to find an unbounded area
Fri, 12/14 HW 48 Applied our area techniques (slices & Riemann sums) to finding the volume of a cone
Mon, 12/17   Review
Tues, 12/18   Test - Unit 5
Wed, 12/19   Worked through an AP exam question
Thurs, 12/20   Happy holidays!
Mon, 1/7 HW 49 Integration by substitution
Tues, 1/8 HW 50 Changing bounds with integration by substitution
Wed, 1/9 HW 51 Integration by substitution with extra factors
Thurs, 1/10 Review More practice with integration by substitution; integrals of tan x, cot x, a^2
Fri, 1/11   Review; integrals of sec x, csc x
Mon, 1/14   Quest - Integration by Substitution
Tues, 1/15 HW 52 Area between two curves; calculating areas using x=g(y)
Wed, 1/16   HW Q&A; using multiple integrals to find an area; comparing horizontal and vertical slices of an area
Thurs, 1/17 HW 53 Evaluating volumes of revolution with disks and washers
Fri, 1/18 HW 54 HW Q&A
Tues, 1/22 HW 55 Solids with uniform cross sections
Wed, 1/23 HW 56 HW Q&A; started finding volume with shells
Thurs, 1/24 HW 57 More discussion of volume with shells
Fri, 1/25 HW 58 HW Q&A; average value of a function
Mon, 1/28   Mean Value Theorem for Integrals
Tues, 1/29   Review
Wed, 1/30   Test - Unit 7
Thurs, 1/31 HW 59 Integration by parts
Fri, 2/1   HW Q&A
Wed, 2/6 HW 60 More integration by parts: combining with substitution, combining like integral terms, tabular method
Thurs, 2/7   HW Q&A; started integrating rational functions (senior night)
Fri, 2/8 HW 61 Integrating with partial fractions (linear factors)
Mon, 2/11 HW 62 Integrating with partial fractions (irreducible quadratic factors)
Tues, 2/12 HW 63 More work with irreducible quadratic factors in partial fractions
Wed, 2/13 HW 64 Partial fractions with repeated linear terms
Thurs, 2/14 HW 65 Integrating powers of trigonometric functions
Fri, 2/15 HW 66 HW Q&A; class time to work on AP problems (SPC)
Mon, 2/18   Work time for AP problems
Tues, 2/19 HW 67 Trigonometric substitution
Wed, 2/20   Work day
Thurs, 2/21   Work day
Fri, 2/22   Quiz 8.1
Mon, 2/25   Quiz 8.2
Tues, 2/26   Quiz 8.3
Wed, 2/27   Test - Unit 8
Thurs, 2/28   Course evaluations

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