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Begin with mixed questions so YoUni can separate concept gaps from algebra mistakes.
Reviewed course
Calculus I: free lessons and guided practice.
Study the first Calculus course with a focused path through limits, derivatives, integrals and applications through lessons, worked examples and free course books.
Current availability: lessons and samples are available. Interactive checked practice and placement are temporarily unavailable.
Free Open College account: save your place, build a study plan and study the lessons currently available. No payment method required.
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
Practice, feedback and review for Calculus I
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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Broad Calculus review with the public PDF and guided practice flow.
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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.
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
Focused review for one-sided limits, continuity, and graph behavior.
Open LimitsDerivatives
Focused review for tangent lines, derivative rules, and applications.
Open DerivativesIntegrals
Focused review for antiderivatives, accumulation, area, and motion.
Open IntegralsPractice problems
Mixed Calculus I practice that asks students to choose the method.
Open practice problemsCalculus I FAQ
What does YoUni Calculus I cover?
The reviewed Calculus I course covers limits, derivatives, integrals, applications, focused practice, mixed review, and public study books.
What assessment practice is available on the public Calculus I page?
Public Calculus I resources include homework-style practice in books and worked examples. Interactive checked practice and placement are temporarily unavailable. Official graded attempts are not part of this public sample.
Independent 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.