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This course reviews the topics forthe AP Calculus AB Exam.
The course is divided into twoparts. Part 1 is Differential Calculusand incorporates mostly AB topics but does have some BC topics. Part 2 is Integral Calculus, and again is mostlyAB material. The BC material that is notcovered in either of these parts will be reviewed in an extension.
Each week of the six weekreview will include review videos for an important block of material, completewith videos of worked example problems and exam tips. There will also bean extensive online quiz given each week, with multiple problem versionsthat students can use to practice, along with practice tests to helpstudents prepare for the AP* Calculus AB Exam.
* AP Calculus is a registered trademark of the College Board, which was notinvolved in the production of, and does not endorse, this product.
Overview
Syllabus
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- 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 Orde Derivatives, and Implicit Differentiation: definition and concept of the derivative, derivative ules, 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, Mea Value Theorem, intervals of increase/decrease, extreme values, concavity, points of Inflection and curve sketching.
Assessments: Practice Problems and Quizzes
- Week 4 - Transcendental Functions: inverse 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
- 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.
