list 6个序列
assignment 等级:入门
chat_bubble_outline 语言 : 英语
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关键信息

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verified_user 免费证书
timer 总共42个小时

关于内容

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.

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课程大纲

  • 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






















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教师

  • Rebecca George - Mathematics
  • Jeffrey Morgan - Academic Affairs and the Department of Mathematics
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内容设计师

University of Houston System
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.
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平台

Coursera

Coursera是一家数字公司,提供由位于加利福尼亚州山景城的计算机教师Andrew Ng和达芙妮科勒斯坦福大学创建的大型开放式在线课程。

Coursera与顶尖大学和组织合作,在线提供一些课程,并提供许多科目的课程,包括:物理,工程,人文,医学,生物学,社会科学,数学,商业,计算机科学,数字营销,数据科学 和其他科目。

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