AB Calculus - Fall 2012

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Date Assignment Description
Tues, 8/28 HW 1 Introduction to course; average and instantaneous rates of change; local linearity
Wed, 8/29 HW 2 Slope functions; defintion of the derivative
Thurs, 8/30 HW 3 Relationship between the graphs of a function and its derivative
Fri, 8/31 HW 4 Differentiation rules: constant, power
Mon, 9/3 HW 5 Differentiation rules: constant multiple, sum, difference
Tues, 9/4 HW 6 Differentiation rules: e^x, product, quotient
Wed, 9/5 HW 7 Differentiation rules: trigonometric functions
Thurs, 9/6   Quiz: HW 1-5; proof for derivative of sin x
Fri, 9/7 HW 8 Higher order derivatives
Mon, 9/10 HW 9 Differentiation rules: chain rule
Tues, 9/11 HW 10 HW Q&A; more practice with the chain rule
Wed, 9/12 HW 11 HW Q&A
Thurs, 9/13   HW Q&A
Fri, 9/14   Review
Mon, 9/17   Test - Unit 1
Tues, 9/18 HW 12 Implicit differentiation (including second derivatives)
Wed, 9/19   HW Q&A; calculating the derivative of inverse sine
Thurs, 9/20 HW 13 Derivatives of inverse trigonometric functions, logarithms, and b^x
Fri, 9/21 HW 14 Logarithmic differentiation; linear motion
Mon, 9/24 HW 15 HW Q&A, including further discussion of linear motion
Tues, 9/25 HW 16 HW Q&A; introduction to related rates
Wed, 9/26 HW 17 More work with related rates
Thurs, 9/27   HW Q&A
Fri, 9/28 HW 18 Further HW Q&A
Mon, 10/1 HW 19 Linear approximation; differentials
Tues, 10/2 HW 20 Error analysis with differentials
Wed, 10/3   HW Q&A
Thurs, 10/4 HW 21 Relating the analysis of position, velocity, and acceleration to their graphs
Fri, 10/5   Review
Mon, 10/8   Test: Unit 2
Tues, 10/9 HW 22 Defining "close" for limits using delta and epsilon
Wed, 10/10 HW 23 Formal delta-epsilon definition of a limit
Thurs, 10/11 HW 24 Left and right limits; reading limits from graphs; delta-epsilon limit for a quadratic function
Fri, 10/12   HW Q&A (ACL half day)
Mon, 10/15 HW 25 Another example of a delta-epsilon limit for a quadratic function
Tues, 10/16 HW 26 Formal definition of infinite limits and limits as x approaches infinity
Wed, 10/17 HW 27 Quiz; evaluating various limits
Thurs, 10/18 HW 28 Squeeze theorem, with delta-epsilon proof
Fri, 10/19 HW 29 L'Hospital's Rule (0/0)
Mon, 10/22 HW 30 Limits of other indeterminate forms (inf/inf, 0*inf, 1^inf, 0^0, inf - inf)
Tues, 10/23 HW 31 Definition of continuity at a point; removable and essential discontinuities
Wed, 10/24 HW 32 Left and right continuity; Intermediate Value Theorem; differentiability implies continuity
Thurs, 10/25 HW 33 HW Q&A (half-day for parent conferences)
Fri, 10/26   HW Q&A (half-day for parent conferences)
Wed, 10/31   Review
Thurs, 11/1   Test: Unit 3
Fri, 11/2 HW 34 Graphing by analysis of derivatives; optimization
Mon, 11/5 HW 35 HW Q&A
Tues, 11/6   More practice with graphing and optimization
Wed, 11/7   Review
Thurs, 11/8   Quiz - Unit 4
Fri, 11/9   Review
Mon, 11/12   Review
Tues, 11/13   Optional review (half day)
Fri, 11/16   FINAL EXAM - Clayton Gym - 1 to 3 PM

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