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This course reviews the topics for
the AP Calculus AB Exam.

The course is divided into two
parts. Part 1 is Differential Calculus
and incorporates mostly AB topics but does have some BC topics. Part 2 is Integral Calculus, and again is mostly
AB material. The BC material that is not
covered in either of these parts will be reviewed in an extension.

Each week of the six week
review will include review videos for an important block of material, complete
with videos of worked example problems and exam tips. There will also be
an extensive online quiz given each week, with multiple problem versions
that students can use to practice, along with practice tests to help
students prepare for the AP* Calculus AB Exam.

* AP Calculus is a registered trademark of the College Board, which was not
involved in the production of, and does not endorse, this product.

**Week 1 - Limits and Continuity:** limits of functions, asymptotic behavior, unbounded
behavior, continuity properties of functions, the intermediate value theorem, limits of trigonometric functions and the extreme value theorem.

** Assessments: **Practice Problems and Quizzes

**Week 2 - Derivatives of Polynomials and Trigonometric Functions, Chain Rule, Higher Order
Derivatives, and Implicit Differentiation:** definition and concept of the derivative, derivative
rules, higher order derivatives,interpretation of the derivative, chain rule,
implicit differentiation.

** Assessments: **Practice Problems and Quizzes

**Week 3 - Applications of the Derivative: **related rates, velocity/acceleration, Mean
Value Theorem, intervals of increase/decrease, extreme values, concavity, points of Inflection and curve sketching.

**Assessments:** Practice Problems and Quizzes

**Week 4 - Transcendental Functions****: i**nverse functions, exponential and natural logarithm functions, inverse trigonometric functions and hyperbolic functions.

** Assessments:** Practice Problems and Quizzes

**Week 5 - Further Applications of the Derivative: **optimization, differentials L'Hospital's Rule.

** Assessments:** Practice Problems and Quizzes

**Week 6 - Practice AB Exam **

** Assessments:** Two exams

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Taught by

Jeffrey Morgan and Rebecca George