MathematicsTwo semesters of college calculus

AP Calculus BC

Comprehensive calculus covering all AB topics plus series, parametric equations, polar coordinates, and advanced integration.

AP Calculus BC extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The course covers all topics in Calculus AB plus additional topics including parametric equations, polar coordinates, vector-valued functions, and infinite sequences and series. Students who complete BC typically receive credit for two semesters of college calculus.

$65
Single 90-minute lesson
$49.50
Lowest rate per lesson
50 lessons
Full syllabus, 75 hours
Prices and optionsRequest a tutor
Course Introduction

Why AP Calculus BC Matters

A qualifying score on the AP Calculus BC Exam can earn college credit or placement. Each college sets its own policy, so check the score your colleges ask for.

Most comprehensive high school math course
Can earn two semesters of college credit, depending on the college
Essential for competitive STEM programs
Demonstrates exceptional mathematical preparation
College Equivalent

Calculus I and II

Required/Recommended for Majors
EngineeringPhysicsMathematicsComputer ScienceAerospace EngineeringElectrical EngineeringApplied MathematicsActuarial Science
Exam Format
Multiple Choice42 questions (50%)
Free Response6 questions (50%)

Scored 1–5. Hybrid digital: multiple-choice in Bluebook, free responses handwritten in a paper booklet.

AP Calculus BC course units

The units of the College Board course. Lessons follow them in the order your class takes them.

Unit 1-8
All Calculus AB Content
LimitsDerivativesIntegralsDifferential equationsApplications
Unit 910-15% of exam
Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Parametric functionsVector-valued functionsPolar coordinates and curvesDerivatives and integrals in different coordinate systems
Unit 1015-20% of exam
Infinite Sequences and Series
Convergence testsTaylor and Maclaurin seriesPower seriesError boundsLagrange error

How lessons approach Calc BC

Understanding the concepts, and answering the exam's questions the way they are scored.

Conceptual Understanding
Building deep knowledge that lasts
  • Master all AB topics before tackling BC-specific content
  • Visualize parametric and polar curves before computing
  • Understand convergence intuitively through examples
  • Connect series to function approximation
Exam-Specific Strategies
Techniques that maximize your score
  • Know which convergence tests apply to which series types
  • Practice parametric and polar area/arc length problems
  • Memorize common Taylor series expansions
  • Understand how to bound errors in series approximations

Past papers and practice exams

Practice exams in the current exam format are reviewed afterwards, and the errors set the work for the next lessons.

Past papers

Released AP Calculus BC free-response questions including BC-only questions.

  • Full 3-hour 10-minute exams with BC-level difficulty
  • Includes both AB and BC subscore analysis
  • Series and parametric-focused practice sections
  • Detailed error analysis for BC-specific topics

How a practice exam is used

  1. 1
    Sit a full practice exam
    Timed, section by section
  2. 2
    Review the errors
    With your tutor, by unit and question type
  3. 3
    Targeted practice
    On the units and question types that cost points
  4. 4
    Repeat
    Before the exam

AP Calculus BC: lessons, prices and how to start

One-to-one lessons are 90 minutes, live online. Prices are set per program, so they are the same for every AP subject.

AP Calculus BC one-to-one tutoring packages
Single lesson$65Per lesson: $65Buy a lesson
10 lessons$630Per lesson: $63Buy package
20 lessons$1,200Per lesson: $60Buy package
Full syllabus · 50 lessonsLowest rate75 hours · or 2 payments of $1,350 ($2,700 in all)$2,475Per lesson: $49.50Buy packageor pay in 2

Group options

All 2026–27 AP groups are full; 2027–28 places are on sale. The AP Calculus BC group course is $1,755 or 3 payments of $585, 75 hours of teaching in 50 lessons, in classes of at most 6. Three or more of you can buy places in a private group at the same price.

Enroll in the AP Calculus BC group Buy a place in a private AP Calculus BC group

How do you start?

Request a free intro call: it is a conversation about your goals and timeline, not a lesson or a test. There is no separate diagnostic test for AP, because no single test stands in for a school syllabus. The first lesson does the assessment: your tutor works through your recent marked work and past-paper questions from your own specification, and reads where you stand. It is a normal paid lesson, not a free trial, and it teaches as it assesses.

Request a free intro call

Refunds

Not satisfied after your first private lesson? Full (100%) refund. Not satisfied after the first week of your group course? Full (100%) refund. No score is guaranteed. Full terms.

Every AP priceAll AP subjects

AP Calculus BC — Frequently Asked Questions

How is the AP Calculus BC exam structured?
The AP Calculus BC exam has 42 multiple-choice questions in 1 hour 40 minutes, worth 50% of the score, and 6 free-response questions in 1 hour 30 minutes, worth 50%. Knowing the split matters because the two halves reward different preparation — the multiple-choice section rewards coverage, the free-response section rewards being able to set out a method.
What college credit does AP Calculus BC carry?
Two semesters of college calculus. Credit policies are set by each university rather than by the College Board, so confirm the score your target schools require before choosing which exams to sit.
What does AP Calculus BC cover?
The course is organized into 3 units: All Calculus AB Content, Parametric Equations, Polar Coordinates, and Vector-Valued Functions and Infinite Sequences and Series. Our tutoring follows the same order, so what you cover with a tutor lines up with what your class is doing.
What college course is AP Calculus BC equivalent to?
Calculus I and II. That is the level the exam is written to, which is why a strong AP score is treated as evidence you can handle first-year university work in the subject.
Which majors is AP Calculus BC useful for?
It is most relevant to Engineering, Physics, Mathematics, Computer Science and 4 more. It is worth taking if it is either required for your intended major or the strongest subject you can show, since a high score in a demanding subject carries more weight than a safe pass in an easy one.