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

МООК
en
Английский
42 h
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  • From www.coursera.org
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  • Self-paced
  • Free Access
  • Бесплатный сертификат
More info
  • 6 Sequences
  • Introductive Level

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Course details

Syllabus

  • Week 1 - Limits and Continuity: limits of functions, asymptotic behavior, unboundedbehavior, 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 OrderDerivatives, and Implicit Differentiation: definition and concept of the derivative, derivativerules, 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, MeanValue 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






















Prerequisite

None.

Instructors

  • Rebecca George - Mathematics
  • Jeffrey Morgan - Academic Affairs and the Department of Mathematics

Editor

The University of Houston System’s four universities and six regional campuses comprise the only comprehensive higher education system serving the world’s energy capital and the Gulf Coast region. Among institutions nationwide, the UH System remains a model of diversity and a reflection of the city it serves.

Platform

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