list 6 sequences
assignment Level : Introductive
chat_bubble_outline Language : English
card_giftcard 336 points
Users' reviews
-
starstarstarstarstar

Key information

credit_card Free access
verified_user Free certificate
timer 42 hours in total

About the content

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.

more_horiz Read more
more_horiz Read less
dns

Syllabus

  • 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






















record_voice_over

Instructors

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

Content designer

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.
assistant

Platform

Coursera

Coursera is a digital company offering massive open online course founded by computer teachers Andrew Ng and Daphne Koller Stanford University, located in Mountain View, California. 

Coursera works with top universities and organizations to make some of their courses available online, and offers courses in many subjects, including: physics, engineering, humanities, medicine, biology, social sciences, mathematics, business, computer science, digital marketing, data science, and other subjects.

You are the designer of this MOOC?
What is your opinion on this resource ?
Content
0/5
Platform
0/5
Animation
0/5