Overview
AP Calculus AB is the gold standard for advanced high school mathematics, providing a rigorous introduction to differential and integral calculus. The course covers fundamental concepts, problem-solving techniques, and real-world applications that prepare students for college-level STEM majors. With FenDoDo’s expert guidance, you’ll build the confidence and skills needed to excel on the AP exam and beyond.
Course Content
- Limits and Continuity: Understanding the behavior of functions as inputs approach certain values, formal definition of limits, and identifying points of continuity or discontinuity.
- Differentiation: Techniques and applications of derivatives, including rules (power, product, quotient, chain), implicit differentiation, and higher-order derivatives.
- Applications of Derivatives: Analyzing graphs, optimization problems, related rates, motion, and curve sketching using first and second derivatives.
- Integration: Techniques for definite and indefinite integrals, the Fundamental Theorem of Calculus, substitution, and area under a curve.
- Applications of Integration: Area between curves, volumes of solids of revolution, and average value of functions.
- Differential Equations: Solving separable differential equations, growth and decay models, and slope fields.
- Mathematical Modeling and Justification: Building and interpreting mathematical models, justifying solutions with clear reasoning.
Exam Structure
| Section | Questions | Time | Weight |
|---|---|---|---|
| Multiple Choice (No Calculator) | 30 | 60 min | 33.3% |
| Multiple Choice (Calculator) | 15 | 45 min | 16.7% |
| Free Response (Calculator) | 2 | 30 min | 16.7% |
| Free Response (No Calculator) | 4 | 60 min | 33.3% |
Skills Developed
- Analyzing and interpreting limits, derivatives, and integrals
- Solving real-world modeling problems with calculus
- Graphical, numerical, algebraic, and verbal reasoning
- Precise mathematical communication and justification
- Strategic use of graphing calculators for AP problems
- Time management and AP exam strategies
Who Should Take AP Calculus AB?
- Students interested in STEM majors: engineering, math, physics, economics, computer science, and more
- High schoolers seeking to earn college credit and demonstrate college readiness
- Learners who have completed Pre-Calculus or equivalent coursework
- Anyone looking to strengthen their problem-solving and analytical thinking skills
Tips for Success
- Master foundational Pre-Calculus concepts before starting
- Practice regularly with AP-style free response and multiple choice questions
- Use your calculator strategically and become familiar with its functions
- Review errors and seek feedback from your tutor
- Work on mock exams under timed conditions for best results
Advisor Selection Process
- Top University Advisors: Our tutors are AP Calculus high scorers from top U.S. universities, with hands-on experience and proven results.
- Internal Workshop Assessment: All instructors pass FenDoDo’s workshop and demo lessons before teaching students.
- Customized 1-on-1 Instruction: Every student receives a personalized learning plan tailored to their goals, background, and pace.
- Personalized Support: FenDoDo’s team monitors each student’s progress and adapts instruction for maximum results.
Class Process
- Google Meet link and code sent for each session
- Google Classroom for sharing resources, assignments, and notes
- Pre-course student profiling and customized teaching plan
- All sessions recorded and accessible for review
- Teaching Log and assignment tracking after every lesson
- Advisor evaluation and feedback for continuous improvement
