AP Calculus AB
High school students preparing for the AP Calculus AB exam.
AP Calculus AB introduces students to the core ideas of differential and integral calculus, including limits, rates of change, and the accumulation of quantities. This course organizes those ideas into manageable modules so students can build understanding step by step rather than cramming formulas. Each module pairs concept review with opportunities to practice the kind of reasoning the exam rewards. Students move through the material at their own pace, with live webinars available to reinforce the topics that tend to cause the most confusion.
- Suitability
- Typically taken in grades 11 through 12, for students age 13 and older.
- Delivery format
- 100% online, self-paced with scheduled live webinars
- Modules
- 8
- Practice activities
- Included
- Mock examinations
- Included
- Instructor webinars
- Included
Course modules
Students work through video lessons and written explanations organized by topic, revisiting any module as often as needed. Progress is self-directed, so a student can spend extra time on integration techniques one week and move quickly through review material the next.
Limits and Continuity
Understanding limits, one-sided limits, and continuity as the foundation for calculus reasoning.
Differentiation: Definition and Basic Rules
The definition of the derivative and rules for differentiating common function types.
Differentiation: Composite, Implicit, and Inverse Functions
Extending derivative rules to chain rule, implicit differentiation, and inverse functions.
Contextual Applications of Differentiation
Using derivatives to interpret rates of change, motion, and related quantities in applied settings.
Analytical Applications of Differentiation
Applying derivatives to analyze function behavior, extrema, and concavity.
Integration and Accumulation of Change
Building the concept of the definite integral and the Fundamental Theorem of Calculus.
Differential Equations
Setting up and solving basic differential equations, including exponential growth and decay models.
Applications of Integration
Using integrals to find area, volume, and other accumulated quantities.
Practice format
Practice sets are organized by topic so students can target derivative rules, integration techniques, or any other area separately, with explanations available for each problem after it is attempted.
Mock exam format
Full-length mock exams are structured to reflect the general format and pacing of the AP Calculus AB exam, including both multiple-choice and free-response style sections.
Webinar format
Scheduled live webinars led by an AP Calculus AB instructor walk through commonly misunderstood topics such as related rates and the Fundamental Theorem of Calculus, with time set aside for student questions.
Written questions
Students who want help outside of a webinar can submit a written question through the platform at any time. Responses come back through private platform messages, so a student never needs to appear on camera or join a live session to get an answer.
Included with these plans
Guided
Adds mock exams, instructor webinars, and written questions for one selected course.
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Related resources
Balancing Multiple AP Exams in One Study Season
Practical guidance for planning a study season when a student is preparing for more than one AP exam at the same time.
AP Exams Overview: How the AP Program Works
An independent overview of how the Advanced Placement program and its exams generally work, plus how ZExamAcers's AP courses support preparation.
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