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Calculus · AP AB/BC · Grades 11–12 · USA

AP Calculus -

The Summit of High School Math.

Calculus is the most powerful tool in mathematics — and the course that separates students who will thrive in STEM from those who struggle. Our specialist AP Calculus teachers build genuine conceptual understanding, not just AP exam technique.

Book a 15 min Free strategy call
Contact Us

Calculus · AP AB/BC · Grades 11–12 · USA

AP Calculus -

The Summit of High School Math.

Calculus is the most powerful tool in mathematics — and the course that separates students who will thrive in STEM from those who struggle. Our specialist AP Calculus teachers build genuine conceptual understanding, not just AP exam technique.

Book a 15 min Free strategy call
Contact Us
Gr 11–12
Student Grade Levels
5
Target AP Score
AP AB/BC
Both Covered
AP Calculus
Curriculum Aligned Programme
Free
Trial Class Available
Course Content

What We Cover in Calculus

Every topic in the Calculus curriculum — taught for genuine understanding, not just test performance.

Unit 1
Limits & Continuity
Intuitive and formal limits, one-sided limits, limits at infinity, the squeeze theorem, and continuity.
Unit 2
Derivatives — Definition
The derivative as a limit, derivative notation, and differentiability vs continuity.
Unit 3
Differentiation Rules
Power, product, quotient, chain rules — derivatives of all function types including trig, exp, and log.
Unit 4
Applications of Derivatives
Related rates, implicit differentiation, linearization, L'Hopital's rule, curve sketching, and optimization.
Unit 5
Integrals — Definition
Riemann sums, the definite integral, and the Fundamental Theorem of Calculus — Parts 1 and 2.
Unit 6
Integration Techniques
Substitution, integration by parts, trigonometric integrals, and partial fractions (BC).
Unit 7
Applications of Integrals
Area between curves, volumes of revolution, accumulation functions, and differential equations.
Unit 8
Sequences & Series (BC)
Convergence tests, power series, Taylor and Maclaurin series — AP Calculus BC only.
Learning Outcomes

What Your Child Will Be Able to Do

Students leave the programme with deep conceptual mastery of calculus, strong problem-solving skills, and the confidence to excel on the AP exam.

FOUNDATIONAL MASTERY
Limit & Derivative Mastery
The two foundational operations of Calculus — understood deeply enough to handle any AP exam problem.
INTEGRATION SKILLS
Integral Confidence
Integration is where many students lose points on the AP exam. We build multiple techniques and the judgment to apply them.
EXAM EXCELLENCE
Free-Response Excellence
The AP Calculus free-response section rewards precise mathematical writing. We coach students on exactly what graders are looking for.
LONG-TERM SUCCESS
AP Score 4 or 5
Students who complete our Calculus programme consistently achieve AP scores of 4 or 5 — and arrive at university Calculus confident.
Math Pathway

Where Calculus Fits

See exactly where this course sits in the K–12 Math journey — what leads here and what comes next.

Previous
Precalculus
Grades 10–11 Foundations
Advanced Functions · Trigonometry
→
▶ THIS COURSE
Calculus
AP AB or BC · Grades 11–12
Derivatives · Integrals · Series
→
Then
University Math
College Preparation
Calc I / II / III
→
Advanced
Multivariable Calc
University Pathways
Linear Algebra · Differential Equations
Why Concept Mastery

Expert Calculus Instruction.

AP Calculus requires deep conceptual understanding and precise communication. Our programme is built specifically for that.

Max 2 Students Per Group
Every AP Calculus group session is capped at 2 students — near-individual attention every session. Both students stay actively engaged and receive direct feedback.
Assignment Sheets Included
Curriculum-aligned AP Calculus assignment sheets reinforce session learning and build strong, consistent practice habits outside the classroom.
Monthly Progress Reports
Parents receive a detailed monthly written report tracking concept mastery, performance trends, and curriculum progress — specific, honest, and actionable.
Free 1-Hour Trial Class
Every student begins with a free 1-hour AP Calculus trial — meet the teacher, experience the teaching style, and decide with zero payment required.
Pricing

Two Formats. One Expert Teacher.

Both options include a free assessment, assignment sheets, and monthly progress report for Calculus.

Most Popular
Online · Group
Group Session
Max 2 students per session
$1,000
per student · 40-hr programme
40 hrs live instruction
  • ✔ Payment plans available
  • ✔ Max 2 students
  • ✔ 1 free assessment class
  • ✔ Monthly progress report
  • ✔ Assignment sheets included
  • ✔ Enroll anytime
Book Free Assessment →
1-on-1
Online · Individual
Individual Session
Fully personalized to your child
$1,500
per student · 40-hr programme
40 hrs live instruction
  • ✔ Payment plans available
  • ✔ Fully 1-on-1 session
  • ✔ 1 free assessment class
  • ✔ Monthly progress report
  • ✔ Personalized pace & plan
  • ✔ Flexible scheduling
Book Free Assessment →

Every student starts with a free 1-hour trial class — no payment, no commitment.

Student Reviews

What Families Are Saying

Families trust Concept Mastery for expert AP Calculus support, deep conceptual teaching, and personalized coaching that delivers real results.

★★★★★
"My son was taking AP Calculus BC and failing by October. His CM teacher rebuilt from derivatives — really making sure the limit definition was understood before any rules. He scored a 5 on the AP exam."
JM
James M.
Parent · AP Calculus BC · California
★★★★★
"The free-response coaching was what made the difference. My daughter knew the math but was losing points on written responses. Two months of AP Calculus coaching with CM and she scored a 4."
CW
Carol W.
Parent · AP Calculus AB · Texas
FAQ

Common Questions About Calculus

Do you cover both AP Calculus AB and BC?
Yes — we support both. AB covers differential and integral calculus. BC covers everything in AB plus sequences and series, parametric equations, and additional integration techniques.
How does your programme differ from school instruction?
Most high school Calculus courses prioritize curriculum coverage over genuine understanding. We deliberately slow down on concepts like limits and the FTC until students truly understand them — which leads to better AP scores.
What AP score do most CM Calculus students achieve?
Students who commit to the full programme consistently achieve scores of 4 or 5. The free-response coaching and past-paper practice are particularly impactful in the final 6–8 weeks before the exam.

AP Calculus — Understood Deeply, Not Just Passed.

Limits, derivatives, integrals — and the AP exam strategy to turn mastery into a top score. Book your free assessment today.

Book a 15 min Free strategy call
Contact Us