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MATH 420  ·  AP  ·  Grades 11 to 12

AP Calculus BC: same exam, twice the speed.

BC covers a full year of college calculus. Students who do well in it usually are not smarter than everyone else. They just never let a topic slide, especially series.

Course
AP Calculus BC
Usually
Grades 11 to 12
Before it
Strong Precalculus, or AP Calculus AB
Exam
May, hybrid digital
Book a free AP Calculus BC trial →
The course

What AP Calculus BC tutoring looks like with us

AP Calculus BC includes all of AB plus parametric equations, polar coordinates, vector valued functions, and infinite series. Many schools teach it in one year, which leaves very little time to recover if a unit goes badly.

Your tutor keeps you on top of every unit as it is taught. Series gets special attention because it carries the most weight among the BC only topics and feels very different from the rest of calculus.

College Board framework

The 10 units of AP Calculus BC

UnitTopicsExam weight
01Limits and ContinuityLimits, continuity, IVT4 to 7%
02Differentiation: Definition and Fundamental PropertiesDefinition of the derivative and basic rules4 to 7%
03Differentiation: Composite, Implicit, and Inverse FunctionsChain rule, implicit and inverse differentiation4 to 7%
04Contextual Applications of DifferentiationRelated rates, linearization, L'Hospital's rule6 to 9%
05Analytical Applications of DifferentiationMVT, extrema, concavity, optimization8 to 11%
06Integration and Accumulation of ChangeFTC, u substitution, integration by parts, partial fractions, improper integrals17 to 20%
07Differential EquationsSlope fields, Euler's method, separation of variables, logistic growth6 to 9%
08Applications of IntegrationArea, volume, arc length6 to 9%
09Parametric Equations, Polar Coordinates, and Vector Valued FunctionsDerivatives and integrals in parametric and polar form, motion with vectors11 to 12%
10Infinite Sequences and SeriesConvergence tests, power series, Taylor and Maclaurin series, error bounds17 to 18%

Unit names and exam weights from the current College Board Course and Exam Description.

The AP exam

How the AP Calculus BC exam is built

SectionQuestionsTimeScore
Section I, Part A30 multiple choice, no calculator60 min50% for all of Section I
Section I, Part B15 multiple choice, calculator45 min
Section II, Part A2 free response, calculator30 min50% for all of Section II
Section II, Part B4 free response, no calculator60 min

BC students also receive an AB subscore. Hybrid digital, with free response handwritten. A graphing calculator is required for the calculator parts.

From our tutors

Where students lose points in AP Calculus BC

Choosing a convergence test

There are many tests and students try them at random. We teach a decision order so you know which to try first.

Taylor polynomials and error

Lagrange and alternating series error bounds appear almost every year. We make the setup automatic.

Polar area

Finding the right bounds is the hard part. Sketching first solves most of it.

Speed

BC moves fast. A weekly session that stays slightly ahead of class keeps students from falling behind.

Our sessions

What a typical session looks like

  1. First 5 min

    Check in on class: what was taught this week, what is due, and when the next test is.

  2. Main block

    Work through the topic that matters most right now, using your actual homework or class problems.

  3. Practice

    Exam style questions on the same topic, scored the way AP readers score them.

  4. Last 5 min

    A short plan for the week, and the topic for this week's worksheet.

  5. After

    Our support team sends the worksheet, marks it, and returns a written score report and a retest on the weak spots. Parents get a copy.

Questions

AP Calculus BC tutoring FAQ

Can I self study BC topics after AB?
Yes, with support. Series, polar, and parametric are learnable in a focused term. A tutor helps keep it organized.
Does BC count for more college credit than AB?
Often, yes. Many colleges award two semesters of calculus credit for a qualifying BC score. Policies vary by college.
Can you help with Calculus II at college?
Yes. The content closely matches BC. Tell us your course when you book.
How much does AP Calculus BC tutoring cost?
It depends on how many sessions per week you choose. It starts with a free 30 minute trial session, and we share pricing with you before you commit to anything. Weekly worksheets, score reports, and retests are included, not extra.
Related courses
The first step

Get help with AP Calculus BC this week.

Tell us where things stand in AP Calculus BC: current grade, next test, anything your teacher has said. We pair you with a tutor who knows this course and set up a free 30 minute trial session.

  • A tutor who knows your exact course
  • Sessions follow your teacher's syllabus and test dates
  • Online, so any time zone in the US works
  • Weekly worksheets, written score reports, and retests, all included
  • A support team tracking progress and keeping parents updated

Book a free 30 minute trial

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