Preparing for the AP* Calculus AB and BC Exams (Part 1 - Differential Calculus)

• 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