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AP Calculus tutoring with a curriculum-aware AI tutor
AP Calculus AB & BC tutoring with released FRQ practice.
About AP Calculus
AP Calculus AB and BC are the College Board's flagship high-school calculus courses, equivalent to a first (AB) or second (BC) university calculus semester. Both cover limits, derivatives, integrals and the Fundamental Theorem; BC adds parametric/polar/vector functions and infinite series. Jarvis AI provides step-by-step derivations, released FRQ practice from 2015 onwards, and score prediction against the College Board's 1–5 scale. Calculator (TI-84 / Nspire) simulation is built in.
Subjects & topics covered
Unit 1: Limits & Continuity
- One-sided & two-sided limits
- Continuity
- Intermediate Value Theorem
- Limits at infinity & asymptotes
Unit 2: Differentiation — Definition & Basic Derivative Rules
- Definition of derivative
- Power, product, quotient, chain rules
- Derivatives of trig, exp, log
Unit 3: Composite, Implicit & Inverse Functions
- Chain rule
- Implicit differentiation
- Derivatives of inverse functions
Unit 4: Contextual Applications
- Related rates
- Linearisation
- L'Hôpital's Rule
Unit 5: Analytical Applications of Differentiation
- Mean Value Theorem
- Extrema
- Concavity & inflection
- Optimisation
Unit 6: Integration & Accumulation
- Riemann sums
- Fundamental Theorem
- Antiderivatives
Unit 7: Differential Equations
- Separable equations
- Slope fields
- Exponential models
Unit 8: Applications of Integration
- Area between curves
- Volumes (disc, washer, shell)
- Arc length (BC)
Unit 9 (BC): Parametric, Polar & Vector Functions
- Parametric derivatives & arc length
- Polar area
- Vector-valued function motion
Unit 10 (BC): Infinite Sequences & Series
- Convergence tests
- Taylor & Maclaurin series
- Lagrange error bound
Everything you need to prepare for AP Calculus
AI Tutor
Step-by-step, curriculum-aware explanations for every topic.
Past Papers
Authentic past papers with board-accurate solutions.
Mock Exams
Timed, exam-style mocks that mirror the real thing.
Mark Schemes
Marking that follows the official command words and rubric.
Study Planner
Personalised revision schedule counting down to your exam.
Flashcards
Smart spaced-repetition flashcards for every subject.
Exam structure
Most AP exams are ~3 hours: an MCQ section (about half the score) and an FRQ / essay section. Calculators are allowed on quantitative APs.
Grading & scoring
Scored 1–5. 3+ typically earns college credit; 4–5 is required at competitive US universities.
Exam strategy & time management
- 1Pace by section — most AP exams give 60–90 seconds per MCQ and ~22 minutes per FRQ.
- 2Learn the rubric — AP FRQs are marked by explicit rubric points, not overall impression. Hit every rubric bullet.
- 3For quantitative APs, always show units, formulas and substitution — the College Board mark scheme awards partial credit generously.
- 4Practise with released past FRQs from AP Central — they are the single best predictor of your score.
- 5In essay-based APs, structure with a clear thesis in the first sentence — graders scan for it before reading the body.
Common mistakes to avoid
- ✕Skipping the FRQ rubric bullets by writing a fluent essay that misses required components.
- ✕Not showing algebraic manipulation in calculator sections of AP Calculus and Statistics.
- ✕Misusing scientific terminology in AP Bio / Chem — precise language is required for full credit.
- ✕Running out of time on the second half of the MCQ section.
AP Calculus FAQ
AB or BC — which should I take?
BC covers everything AB does plus 2 extra units (parametric/polar/vector and series). BC is worth roughly 1.5 semesters of college calc; AB is worth 1. Competitive engineering / STEM applicants usually take BC.
What score do I need for college credit?
Most US universities give credit for a 3; MIT, Stanford, Caltech require a 5. AB and BC scores are reported separately (BC gives an 'AB subscore').
Does Jarvis simulate the AP calculator sections?
Yes — the built-in Desmos and TI-84 emulator handle the calculator-allowed sections of the exam.
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