The AP Calculus AB series, which is the equivalent of a first-semester college-level calculus course, deepens students’ understanding of foundational concepts from algebra and geometry by applying them in meaningful, interconnected ways. This course covers derivatives, integrals, and differentials, and how to apply them. This is the second course in a two-part series that prepares students to take the AP Calculus AB exam and to explore opportunities in career fields such as economics and math.
What You’ll Learn
- Integration Methods: Deepen understanding of definite and indefinite integrals using techniques such as substitution, integration by parts, partial fractions, and improper integrals.
- Applications of Integration: Apply integrals to real-world problems including area between curves, volumes, work, average value, and accumulation.
- Differential Equations & Linearization: Learn how to solve simple differential equations, use slope fields, and apply linearization for approximations.
- Advanced & Supplemental Topics: Explore additional calculus topics such as separable equations, logistic growth, and convergence of integrals.
- AP Exam Preparation: Review key concepts, practice typical problems, and develop strategies tailored for the AP Calculus AB exam.
- Credit Hours: 0.5
Notes
- Students may use a handheld graphing or scientific calculator or a Desmos online calculator
- 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.
Prerequisites
AP Calculus AB, Part 1 (APCALC 061) or equivalent
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: Extrema and Concavity0
- Module 2: Derivatives and Graphs of Functions0
- Module 3: Optimization and Implicit Relations0
- Module 4: Riemann Sums0
- Module 5: Meaning of an Integral0
- Module 6: Basic Integrals0
- Module 7: More Integrals0
- Module 8: Midcourse Assessment0
- Module 9: Differential Equations and Slope Fields0
- Module 10: Solutions of Differential Equations0
- Module 11: Applied Contexts0
- Module 12: Area Between Curves0
- Module 13: Cross Sections and the Disc Method0
- Module 14: The Washer Method0
- Module 15: Review0
