AP Calculus AB · BC · One-on-one
Online AP Calculus tutor for AB and BC, through the exam.
AP Calculus asks for two things at once: a real understanding of limits, derivatives and integrals, and the precision to show it under exam conditions. As a private online AP Calculus tutor, Rijul coaches AB and BC students one-on-one through the school year and the exam in May, giving the algebra and trigonometry underneath as much attention as the calculus.
Taught by Rijul, a UC Berkeley Regents’ Scholar
Dual degree in Data Science and Business Administration
Teaches middle school math through AP Calculus, SAT and ACT
Who it’s for
For students who understand the lesson and still lose points on the test.
Calculus students rarely struggle with everything. They struggle in a few specific places:
Limits and the definition
The course opens with its most abstract ideas. Students who treat limits as a formality struggle later to explain what a derivative actually means.
Precalculus debt
Many calculus mistakes are really algebra, logarithm or trigonometry mistakes. A weak unit circle shows up all year.
Setting up applied problems
Related rates and optimization are mostly about building the right equation from a description. The calculus is often the easy part.
Accumulation
Reading an integral as accumulated change, from a graph or a table, is harder than finding an antiderivative, and the exam asks for both.
Writing free-response answers
Free-response answers earn points for justification, notation and units, not just the final number. Students need to know what a complete answer looks like.
The AP exam
What May looks like.
- Format
- Hybrid digital. Multiple-choice answers go into Bluebook; free-response answers are written by hand in a paper booklet.
- Multiple choice
- 42 questions in 1 hour 40 minutes, worth half the score. Of those, 29 are calculator-free and 13 need a graphing calculator.
- Free response
- Six questions in 1 hour 30 minutes, the other half: two with a graphing calculator, four without.
- Length
- Three hours and ten minutes in all, most of it without a calculator.
- Scoring
- 1 to 5. BC results also include an AB subscore.
- Credit
- Each college sets its own policy on what a score earns in credit or placement.
What we cover
All of AB, and the BC units beyond it.
Limits and continuity
Limits from graphs, tables and algebra, continuity, and the ideas that make the derivative possible.
Derivatives
The definition and the basic rules, then the chain rule, implicit differentiation and inverse functions.
Applying derivatives
Motion, related rates, linear approximation, L’Hôpital’s rule, the Mean Value Theorem, curve sketching and optimization.
Integrals
Riemann sums, the Fundamental Theorem of Calculus, accumulation functions and substitution.
Differential equations
Slope fields and separable equations, plus Euler’s method and logistic growth in BC.
Applying integrals
Average value, motion, area between curves and volumes of solids, plus arc length in BC.
Parametric, polar and vector functions (BC)
Derivatives and integrals in each form, and area in polar coordinates.
Infinite series (BC)
Convergence tests, Taylor and Maclaurin series, and the error bounds the exam asks about.
BC also adds integration by parts, partial fractions and improper integrals. If the gaps are in the groundwork, precalculus tutoring covers the functions and trigonometry calculus depends on.
How it works
Through the school year, then the exam.
Sessions are held on weekdays after school until 8 p.m. Eastern Time, and on weekends, right up to the exam.
- 01
A free consultation
We talk about AB or BC, the school’s pace, recent test results and the score your student is aiming for in May.
- 02
A diagnostic
A precalculus skills check and a set of past free-response questions, marked against College Board’s published scoring guidelines.
- 03
A written plan
The school’s units through the winter, then a spring review calendar with timed multiple choice and released free-response questions.
- 04
One-on-one sessions
The idea at the board first, worked through until your student can explain it, then problems in the exam’s own style, with and without a calculator.
- 05
Updates for parents
A regular written report on unit tests, practice exams and readiness for May.
Your tutor
Your AP Calculus tutor: Rijul.
Rijul founded Vidansa and teaches every AP Calculus student himself. He is a Regents’ Scholar from UC Berkeley, where he completed a dual degree in Data Science and Business Administration.
Calculus, linear algebra and statistics are the foundation of data science, the field he studied. Between years at Berkeley he took analytical roles at Houlihan Lokey and Summit Partners, and he went on to work at a leading North American educational consulting firm.
Testimonials
What families say.
“My two kids, now 7th and 5th grades, have been working with Rijul for 2.5 years, and both started well behind grade level. Both my kids wrapped up the previous school year top of their classes. My son was invited to compete in a global math competition as a representative of the school for this current school term. Math has become their favorite subject, they look forward to new concepts and challenges, and tackle them with true confidence.
Read the full note
“Rijul not only teaches them math, but also instills a genuine curiosity and joy for learning. My kids love their tutoring sessions, and actively ask for extra time with Rijul if they have an exam to prep for.
“Rijul truly cares about his students. We started working together in CA, then relocated to Hong Kong. Despite the time difference, Rijul has made sure my kids do not skip a beat in math. My son also often praises that Rijul teaches in ways he can actually understand.
“We are so deeply grateful for all the work Rijul has done.”
TS · Parent of 5th and 7th graders, Hong Kong “Rijul has been an incredible math and science tutor for my daughter. Beyond helping her strengthen her understanding of the subjects, he has helped her become more diligent, confident, and accountable as a student. What really sets Rijul apart is how invested he is in her success — he checks in regularly, follows up on her progress, and genuinely cares about her outcomes. We have seen a meaningful difference in both her confidence and her approach to school since working with him.”
CG · Parent of a 10th grader, Palo Alto, CA
Questions
AP Calculus tutoring questions.
How much does an AP Calculus tutor cost?
AB and BC tutoring are both $150 per hour, one-on-one, with a free consultation to begin.
Should my student take AB or BC?
BC covers everything in AB plus two more units, at a faster pace, and suits students who are fluent in precalculus. The school usually sets placement, and sessions are planned around whichever course your student is in.
Do you use real AP questions?
Yes. College Board publishes past free-response questions with their scoring guidelines, and they are the core of exam practice from spring on.
Can you start partway through the year?
Yes. The diagnostic shows which earlier units need attention, and the plan covers them alongside the current one.
How and when do sessions happen?
One-on-one Zoom sessions, using a shared whiteboard for derivations and graphs, on weekdays after school until 8 p.m. Eastern Time or on weekends. Calculator questions are worked on your student’s own graphing calculator.
How do we start?
Tell us in the form below whether it’s AB or BC and how the year is going. Rijul will be in touch within 2 hours during the day (Eastern Time).
Free consultation
Book a free AP Calculus consultation.
Tell us AB or BC, how the year is going and the score your student is aiming for.
Prefer email?
rijul@vidansaeducation.com