AP BC Calculus

Chapter 2: Limits and Derivatives Study Guide

See attached files. Updates will be posted in the case of errors or obmissions.

See disclaimer

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Chapter 2 Study Guide.pdf486 KB

Chapter 3 Study Guide

see attached, if there are any problems/errors please tell me

UPDATED: Added a little more, & changed layout

ERROR!: Please correct d/dx(ax) = ax * ln(x) so that it reads: d/dx(ax) = ax * ln(a)
For clarification, d/dx(ax) = ax * ln(a) is correct Sorry!

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Chapter 3 study guide.pdf471.23 KB

Calculus BC 1st Semester Final Exam Study Guide

Here's a study guide I made for Calc BC (it also works for the whole year of AB) It covers:

UPDATE v1.3: I've added information about derivative and 2nd derivative graphs, a hint or two, and page numbers (probably forgot something again so don't get mad if i post a new version)

UPDATE v1.3b: I corrected the Quotient Rule

Detailed contents after the break...

 

  • Limits
    • Introduction
    • Laws
    • Solving limits
    • Definitions of continuity
    • Forcing a function to be continuous
    • Intermediate Value Theorem
  • Derivatives
    • Tangent lines
    • List of derivatives
    • L'Hopitals' rule
    • Linear Approximations
  • Anti-Derivatives
    • Basics
    • Field Lines
    • Volume by integration (Shell, disk, washer methods & solids with known cross sections)
    • List of anti-derivatives
    • 1st Fundamental theorem of calculus
    • Approximation of area (left sums, right sums. mid-point sums, trapezoids)
    • Arc Length
    • Average value of a function
    • Engineering applications
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Calculus BC Final Exam Study Guide - semester 1 v1.3b.pdf821.58 KB

Chapter 8 Series Tests

Here's a list of the series tests and how to do them. Hope it helps.

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chapter 8 - series.pdf144.36 KB

AP Calculus BC Fact Sheet

Although, I'm not going to make another study guide for the entire year like I did for 1st semester, I can provide the same fact sheet that you got from your teachers in case your lose yours. It covers all of the main concepts this year.

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bcfacts.pdf145.06 KB