Key Information
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.
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
Instructors
- Rebecca George - Mathematics
- Jeffrey Morgan - Academic Affairs and the Department of Mathematics
Content Designer
Platform
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.
