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Calculus I study guide
Free Calculus I study guide with AI-led practice.
Study the first Calculus course with a focused path through limits, derivatives, integrals, applications, diagnostics, targeted practice, and correction loops.
What you can study today
Core Calculus I topics
The Calculus I path is organized around durable problem-solving skills: reading the setup, choosing the method, writing clean steps, and checking the answer in context.
Limits and derivatives
- Limit laws, continuity, one-sided limits, and infinite behavior
- Derivative definition, notation, and tangent-line interpretation
- Power, product, quotient, chain, implicit, and inverse derivatives
- Related rates, optimization, graphing, and approximation
Integrals and applications
- Antiderivatives, Riemann sums, accumulation, and net change
- Definite integrals and the Fundamental Theorem of Calculus
- Substitution, area, average value, motion, and volume setups
- Mixed review that asks which technique fits the problem
Prep workflow
How YoUni uses AI for Calculus I practice
Practice
Work focused sets on the ideas that matter most, then return to mixed review.
Correct
Review missed steps, explain the method, and rebuild the skill from a new problem.
Free study resources
Open the Calculus I resources
These PDFs are available publicly so learners can review the structure before creating an account.
Calculus I course book
Focused Calculus I book covering limits, derivatives, integrals, and applications.
Open Calculus I bookCalculus companion
Broader Calculus PDF for learners who want the full review path alongside the Calculus I book.
Open Calculus PDFCalculus overview
A broader landing page for learners who want the full Calculus path before choosing a book.
Open Calculus pageMath prep path
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Course-focused review for limits, derivatives, integrals, and applications.
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AB/BC prep with diagnostics, timed checks, and AP-style topic review.
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Open booksIndependent platform note
YoUni is an independent online learning platform. These materials are original YoUni study resources for common Calculus I topic areas. This page does not promise a score, admission result, scholarship, official recognition, transfer result, or outcome.