Важная информация
Резюме
This is a 6 week course covering the first part of AP* Calculus which includes limits, derivatives and applications. * AP Calculus is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.
Программа
- 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: 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
Пользователи
- Rebecca George - Mathematics
- Jeffrey Morgan - Academic Affairs and the Department of Mathematics
Разработчик
Платформа
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