Course Description
AP Calculus AB & BC Online Course | College Board AP Curriculum
Grades 10–12 · Live 1-on-1 Online Classes · College Board AP Curriculum · 100-Class Program
Master calculus and earn college credit with Edifychamps’ comprehensive AP Calculus AB & BC online course. Built on the College Board Advanced Placement curriculum, this program covers every major topic for both the AB and BC examinations from limits and derivatives to infinite series and polar functions with live expert instruction, rigorous problem-solving, and full AP exam preparation.
Quick Course Facts
| Total Classes | 100 Classes |
| Session Duration | 60 Minutes |
| Grade Level | Grades 10–12 (Ages 15–18) |
| Class Format | Live Online — 1-on-1 or Small Group |
| Schedule | 2–4 Classes Per Week |
| Curriculum | AP (Advanced Placement) — College Board |
What is AP Calculus AB & BC?
AP Calculus is one of the most widely taken and highly respected Advanced Placement courses offered by the College Board. It is a college-level mathematics program that introduces students to the fundamental concepts of calculus limits, derivatives, integrals, and their real-world applications at a depth and rigor equivalent to a first-year university calculus course.
AP Calculus AB covers the core calculus curriculum, while AP Calculus BC extends further into advanced integration techniques, parametric and polar functions, vector-valued functions, and infinite sequences and series. Students who score well on the AP Calculus exam can earn college credit at most universities in the USA, Canada, and the UK, allowing them to skip introductory calculus at university and enter higher-level mathematics from day one.
At Edifychamps, our AP Calculus AB & BC course is taught live by expert mathematics instructors who combine deep conceptual understanding with rigorous, exam-focused problem-solving. Every session is designed to build both the mathematical intuition and the exam confidence students need to perform at their very best on AP exam day.
What Will Your Child Learn?
This course covers every unit of the College Board AP Calculus AB and BC curriculum built around analytical, graphical, numerical, and algebraic approaches.
- Function review, mathematical modeling, and prerequisite calculus concepts
- Limits – understanding, properties, infinite limits, and continuity
- Intermediate Value Theorem and its applications
- Differentiation – definition of the derivative, all derivative rules, chain rule, and implicit differentiation
- Higher-order derivatives and their interpretations
- Applications of derivatives – motion analysis, related rates, optimisation, and curve sketching
- Mean Value Theorem and its significance
- Integration fundamentals – antiderivatives, Riemann sums, definite integrals, and the Fundamental Theorem of Calculus
- Numerical integration techniques
- Applications of integration – area between curves, volumes of solids, accumulation functions, and average value
- Differential equations – slope fields, separation of variables, exponential models, and logistic growth
- Parametric equations, polar coordinates, polar graphs, and motion along curves (BC)
- Infinite sequences, series, convergence tests, Taylor series, and Maclaurin series (BC)
- AP-style multiple-choice strategies and Free Response Question (FRQ) practice
- Full-length timed mock AP Calculus examinations with detailed performance analysis
Who is This Course For?
- Students in Grades 10–12 preparing to sit the AP Calculus AB or BC examination
- Students who find calculus concepts abstract and need expert guidance to make them click
- High achievers aiming for 4s and 5s on the AP exam to earn university credit
- Students planning to study engineering, computer science, physics, economics, data science, finance, or mathematics at university
- Students who want a genuine college-level mathematics foundation before graduation
A solid understanding of pre-calculus and algebra is recommended. Our instructors assess each student at the start and adjust pacing to their current level.
Course Curriculum – 100-Class Roadmap
| Module | Classes | Topics Covered |
|---|---|---|
| Module 1: Foundations of Calculus | 10 | Function Review, Mathematical Modeling, Graph Analysis, Prerequisite Concepts, Introduction to Calculus |
| Module 2: Limits and Continuity | 10 | Understanding Limits, Limit Properties, Infinite Limits, Continuity, Intermediate Value Theorem |
| Module 3: Differentiation | 15 | Definition of Derivative, Derivative Rules, Chain Rule, Implicit Differentiation, Higher-Order Derivatives |
| Module 4: Applications of Derivatives | 15 | Motion Analysis, Related Rates, Optimization, Curve Sketching, Mean Value Theorem |
| Module 5: Integration Fundamentals | 15 | Antiderivatives, Riemann Sums, Definite Integrals, Fundamental Theorem of Calculus, Numerical Integration |
| Module 6: Applications of Integration | 10 | Area Between Curves, Volume of Solids, Accumulation Functions, Average Value of Functions |
| Module 7: Differential Equations | 5 | Slope Fields, Separation of Variables, Exponential Models, Logistic Growth |
| Module 8: Parametric and Polar Functions | 5 | Parametric Equations, Polar Coordinates, Polar Graphs, Motion Along Curves (BC) |
| Module 9: Infinite Sequences and Series | 10 | Sequences, Series, Convergence Tests, Taylor Series, Maclaurin Series (BC Focus) |
| Module 10: AP Exam Preparation | 5 | Multiple-Choice Practice, FRQ Practice, Mock Examinations, Exam Strategies, Final Review |
| TOTAL | 100 | Full AP Calculus AB & BC College Board Curriculum |
How Assessment Works
Students are assessed consistently throughout the course so progress is always visible, and exam readiness builds steadily from Module 1 through to the final mock exam.
Ongoing: Weekly problem sets, topic-based quizzes, unit tests, and calculus application exercises reinforce every concept as it is taught.
AP Exam Focused: AP-style multiple-choice practice and Free Response Question drills are integrated throughout the course – not just saved for the end – so students are exam-ready well before the actual test date.
Full Mock Exams: Complete, timed mock AP Calculus exams with detailed performance analysis identify exactly which topics need more attention and guide targeted revision before the real exam.
What’s Included in Every Package
- Live instructor-led online classes
- AP-aligned curriculum and study materials
- Guided problem-solving sessions
- Practice worksheets and topic-based assignments
- AP-style multiple-choice and FRQ practice papers
- Mock examinations and review sessions
- Progress tracking and regular parent updates
- Dedicated doubt-solving support between sessions
- Personalized feedback and improvement plans
Pricing & Enrollment
Complete AP Calculus AB & BC Package – 100 Classes
$1,900 – $2,100 USD
$19–$21 per 60-minute live session
This single comprehensive package covers the full College Board AP Calculus AB and BC curriculum – from foundational calculus through to infinite series and complete AP exam preparation. All 10 modules, mock exams, FRQ practice, and ongoing instructor support are included from start to finish.
Payment is available as a one-time full payment or in instalments upon request. Secure international payment methods accepted.
Frequently Asked Questions
What is the difference between AP Calculus AB and BC?
AP Calculus AB covers the core calculus curriculum – limits, derivatives, integrals, and basic differential equations. AP Calculus BC includes all AB content plus additional advanced topics: parametric and polar functions, vector-valued functions, and infinite sequences and series. Our course covers the complete AB and BC curriculum so students are prepared for either exam.
What prerequisite mathematics knowledge is needed?
Students should have a solid foundation in pre-calculus – including functions, trigonometry, logarithms, and algebra. Our instructors begin with a foundational review module to ensure every student is fully ready before moving into calculus concepts.
What grade level is this course for?
The course is designed for students in Grades 10 through 12, ages 15 to 18. Most students take AP Calculus AB in Grade 11 and BC in Grade 12, though motivated Grade 10 students with strong pre-calculus skills are also welcome.
Are the classes live or pre-recorded?
All classes are live, instructor-led online sessions. Students work through problems in real time with their instructor, ask questions, share their working, and receive immediate explanations and feedback.
How does this course prepare students for the AP exam specifically?
AP exam preparation is built into every module from the beginning – not just added at the end. Module 10 is dedicated entirely to exam strategy, timed multiple-choice practice, FRQ drills, and full mock exams. Students finish the course knowing exactly what to expect on exam day.
How many classes per week are recommended?
We recommend 2 to 4 classes per week. At 2 classes per week the 100-class course takes approximately 12 months, leaving ample revision time before the May AP exam. At 4 classes per week it can be completed in around 6 months.
How do I enroll?
Contact us at Contact@edifychamps.com or WhatsApp +91 93105 96720. We will arrange a free discovery call to assess your child’s current mathematics level and build a personalized learning schedule.
Course Content
PDF File
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Test 2
FTEST
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