AP® Calculus AB, one idea at a time.
Built on the course framework, in its order: eight units, each topic taught from scratch, with the math you need placed just before it is used. Then practice that checks what the exam checks: answers you type as expressions, graphs and tables, calculator and no-calculator parts, and justifications that name the theorem.
Beta This course has not yet been reviewed by an AP® Calculus AB teacher.
Functions and Their Graphs
Skills · Math you need. Units 1 and 2 lessons and every notes page are free.
Start the first lessonMissed questions come back
Anything you miss returns when you are about to forget it, not on a fixed date.
Open review →A little every day
Questions, cards and tool steps count toward a daily goal and a streak shared across every LevlPrep subject. 15 practice questions a day are free.
Practice now →The path through the course
The units in framework order, then the math you need: functions and their graphs, exponents, algebra for limits, trigonometry, exponentials and logarithms, inverse functions and geometry, each placed just before the topic that first needs it. Tap one to open it.
- UnitsUnit 1: Limits and ContinuityStart here · 16 topics · 10–15% of exam
- Unit 2: Differentiation: Definition and Fundamental Properties10 topics · 10–15% of exam
- Unit 3: Differentiation: Composite, Implicit, and Inverse Functions6 topics · 5–10% of exam
- Unit 4: Contextual Applications of Differentiation7 topics · 10–15% of exam
- Unit 5: Analytical Applications of Differentiation12 topics · 15–20% of exam
- Unit 6: Integration and Accumulation of Change11 topics · 15–20% of exam
- Unit 7: Differential Equations7 topics · 5–10% of exam
- Unit 8: Applications of Integration12 topics · 10–15% of exam
- Math you needMath you need7 topics
What the course covers
8 units and 81 topics in the order of the course framework (the Calculus AB topics only), plus 7 math topics placed where they are first needed. Each topic has an interactive lesson, a free notes page and exam-style practice, and each unit a printable unit sheet.
1,392 practice questions, many in stimulus sets of four or five that share one graph or table, as on the real exam. Every option has its own explanation, and typed answers are graded by their value, so any correct form counts.
All 88 topics are built, each with its lesson, notes and questions.
How to use it
- Read the lesson. It checks what you need first, then walks the cause and effect one step at a time, with a picture for every process.
- Answer as you go. Anything you miss goes into your review queue and comes back when you are about to forget it.
- Train the hard parts. Tangent lines, limits, derivative rules, Riemann sums and slope fields, each checked step by step.
- Check your mastery. Your dashboard shows it by unit, topic and mathematical practice, and every miss links to its lesson.
Nine trainers for what the exam marks hardest.
Drag a point and watch the secant become the tangent, zoom in on a limit, build derivatives rule by rule, fill an area with rectangles, trace a slope field, then answer the questions about what you saw. The limit explorer and tangent tracer trainers are free, and so are the rule drills.
Practice and study
- PracticeDrill a unit, a topic or a mathematical practice, with graph and table sets.
- ReviewMissed questions come back when you are about to forget them.
- ExamsUnit tests and full timed practice exams in the real four-part format.
- Free-response practiceEvery recurring free-response type, with 9-point rubrics and sample answers.
- Justification trainerJustify with the right theorem and its hypotheses, checked against a rubric.
- Cram kit3-week and 2-week plans to exam day, and timed mixed sets.
- FlashcardsSpaced-repetition cards from the glossary.
- ToolsTrainers and drills, then the questions about what you did.
- DashboardMastery by unit, topic and mathematical practice.
- GlossaryEvery term, with a plain definition and where it is taught.
- Formulas to knowNo formula sheet is given on the exam: every formula and theorem you need, and where it is taught.
- Score calculatorAn estimated score from your multiple-choice and free-response results.
- Free unit practice testsA free sample test for every unit, with every option explained.
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