Diagnose
Begin with mixed questions so the system can separate skill gaps from careless mistakes and pacing problems.
Test-prep preview
AP Calculus AB and BC include specialized diagnostics, practice and mock-exam tools. The broader AP subject catalog contains previews. A subscription provides the features currently available; it does not make unfinished courses complete.
AP Calculus practice with a guided study flow.
Use YoUni for structured AP Calculus AB and BC review: diagnostics, targeted practice, mistake correction, timed checks, mock exams, and free calculus books you can open now.
Create an account for saved work and a study plan. The 30-day trial covers supported tools; course previews remain previews. No credit card to create an account. Paid plans follow the published subscription terms.
What you can study today
Core AP Calculus topics
The AP Calculus path focuses on durable problem-solving skills: understanding the concept, choosing the right technique, showing work clearly, and checking whether an answer makes sense in context.
AP Calculus AB
- Limits, continuity, and asymptotic behavior
- Derivatives, derivative rules, and tangent-line reasoning
- Applications of derivatives, optimization, and related rates
- Definite integrals, antiderivatives, and accumulation
- Differential equations, slope fields, and area-volume applications
AP Calculus BC
- All AB topics with deeper mixed-problem review
- Integration techniques and improper integrals
- Sequences, series, convergence tests, and Taylor polynomials
- Parametric, polar, and vector-valued functions
- Calculator and non-calculator practice with written justification
Prep workflow
Practice, feedback and review for calculus
Practice
Work focused sets on the ideas that matter most, from derivative fluency to integral setup and series reasoning.
Correct
Use feedback loops to revise missed steps, explain the method, and rebuild the same skill from a new problem.
Free study resources
Open the AP Calculus books
These PDFs are available publicly so learners can review the structure before creating an account.
AP Calculus Prep
General AB/BC review book for diagnostics, practice, and exam-style preparation.
Open prep bookAP Calculus AB
Focused AP Calculus AB book covering limits, derivatives, integrals, and applications.
Open AB bookAP Calculus BC
Focused AP Calculus BC book with AB review plus series, parametric, polar, and vector topics.
Open BC bookMath prep path
Keep studying across the YoUni math cluster
Calculus
Broad Calculus review with the public PDF and guided practice flow.
Open CalculusCalculus I
Course-focused review for limits, derivatives, integrals, and applications.
Open Calculus IAP Calculus
AB/BC prep with diagnostics, timed checks, and AP-style topic review.
Open AP CalculusSAT Math
Algebra, advanced math, data, geometry, and trigonometry review.
Open SAT MathBooks library
Browse free study books, including books for courses still in development.
Open booksLimits
Review one-sided limits, continuity, and asymptotic behavior.
Open LimitsDerivatives
Review derivative rules, applications, and curve behavior.
Open DerivativesIntegrals
Review antiderivatives, accumulation, area, and motion.
Open IntegralsAP Calculus FAQ
Where can I study AP Calculus AB and BC with diagnostics and mock exams?
YoUni provides a test-prep preview for AP Calculus AB/BC prep, plus public books, diagnostics, targeted practice, correction loops, and mock-exam style review.
Does YoUni cover both AB and BC topics?
This test-prep preview covers AB topics such as limits, derivatives, and integrals, plus BC topics such as series, parametric, polar, and vector-valued functions.
Independent platform note
YoUni is an independent online learning platform. These materials are original YoUni study resources designed around common AP Calculus topic areas. YoUni is not affiliated with or endorsed by College Board, and this page does not promise a score, credit, admission result, or official recognition.