The AP Calculus AB series, which is the equivalent of a first-semester college-level calculus course, teaches students the fundamental principles of calculus. The course covers limits and how to calculate them, the concept of continuity and discontinuity, and derivatives. This is the first course in a two-part series that prepares students to take the AP Calculus AB exam and to explore opportunities in careers such as economics and math.
What You’ll Learn
- Foundational Calculus Concepts: Introduce the key ideas of limits, continuity, and differentiation as the groundwork for calculus.
- Limits & Continuity: Learn how to compute basic and advanced limits, understand continuity and discontinuities, and apply theorems like the Intermediate Value Theorem.
- Derivatives & Differentiability: Explore the formal definition of the derivative, differentiability, and the relationship to continuity.
- Derivative Techniques: Master derivative rules, including chain rule, implicit differentiation, derivatives of inverse and trigonometric functions.
- Higher-Order Derivatives & Applications: Apply derivatives to motion problems, related rates, linearization, and explore L’Hôpital’s Rule and other theorems.
- Credit hours: 0.5
Notes
- Students will need a graphing calculator for this course; we recommend the TI-84 Plus.
- This course has a separate must-pass final exam that students are required to take in order to earn course credit. This is different from the AP exam, which students must take on their own.
This course is part of our High School Program (Grades 12) bundle.
Course Features
- Lecture 0
- Quiz 0
- Duration Lifetime access
- Skill level All levels
- Language English
- Students 0
- Assessments Yes
- 15 Sections
- 0 Lessons
- Lifetime
Expand all sectionsCollapse all sections
- Module 1: Limits and Continuity0
- Module 2: Calculate Basic Limits0
- Module 3: Evaluate More Limits0
- Module 4: Continuity and Discontinuities0
- Module 5: Infinite Limits and the Intermediate Value Theorem0
- Module 6: The Definition of Derivative0
- Module 7: Continuity and Differentiability0
- Module 8: Mid-Course Assessment0
- Module 9: Derivative Rules0
- Module 10: The Chain Rule and Implicit Differentiation0
- Module 11: Derivatives of Inverses and Trigonometric Functions0
- Module 12: Higher Order Derivatives0
- Module 13: Motion Problems0
- Module 14: Related Rates and Linearization0
- Module 15: L'Hospital's Rule and Other Theorems0
