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CLEP Exam

CLEP Calculus Prep

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  • Complete ≥80% of your generated study plan
  • Take at least 3 full-length mock exams with a ≥75 average
  • Submit your exam score within 60 days of the exam date
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💰

$97

Exam Cost

⏱️

203 min

Time

🎓

3-6

Credits

✅

~50/80

Passing

What You'll Study

Unit 1: Limits and Continuity

limit evaluation techniquesone-sided limitscontinuity and IVTlimits at infinity

🎓 Khan Academy — specific sub-units

→ Limits and continuity · AP Calculus AB — full limits unit→ Defining limits algebraically · Two-sided limits→ Continuity at a point · Plus IVT

Unit 2: Derivatives

derivative definitionpower/product/quotient/chain rulesimplicit differentiationtrig/exponential/log derivativesMean Value TheoremL'Hopital's Rulefirst derivative test for extremasecond derivative testabsolute vs relative extremaconcavity and inflection pointscurve sketching using derivatives

🎓 Khan Academy — specific sub-units

→ Derivative rules (power/product/quotient/chain) · Foundational derivative rules→ Mean Value Theorem · MVT setup + applications→ L'Hopital's Rule · 0/0 and ∞/∞ indeterminate forms→ Extrema tests (1st + 2nd derivative) · Local + absolute max/min→ Concavity & inflection points · Curve sketching

Unit 3: Integrals

Riemann sumsFundamental Theorem of Calculusu-substitutiondefinite integral propertiesaverage value of a function

🎓 Khan Academy — specific sub-units

→ Riemann sums · Left/right/midpoint approximations→ Fundamental Theorem of Calculus · Both parts→ U-substitution · Reverse chain rule→ Average value of a function · (1/(b-a))∫f(x)dx

Unit 4: Applications

related ratesoptimizationarea between curvesvolumes of revolutionexponential growth and decay modeling

🎓 Khan Academy — specific sub-units

→ Related rates · Ladder, balloon, etc.→ Optimization word problems · Max/min applied problems→ Area between curves · Integration application→ Volumes of revolution (disk/washer) · Solid of revolution→ Exponential growth/decay · dy/dt = ky modeling

Unit 5: Differential Equations and Series

separable DEsslope fieldsTaylor/Maclaurin seriesconvergence tests

About these external resources

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Study Guide

Topics, formulas, and key concepts

Flashcards

Spaced-repetition deck

Practice Test

Full-length timed exam

Before you start studying

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Free Resources We Recommend

The best free materials for CLEP Calculus. No affiliation, no kickback — just what actually works.

Modern States: Calculus

Modern States (College Board partner)

Free full video course. Earn the free CLEP voucher after 70% completion.

OpenStax: Calculus Volume 1

OpenStax (free, peer-reviewed)

Limits, derivatives, integrals — single-variable calculus.

Khan Academy: Calculus

Khan Academy

Conceptual + computational — matches CLEP Calculus scope.

YouTube: Professor Leonard / 3Blue1Brown

YouTube

Intuition-first videos for calculus concepts.

Links open in a new tab. PrepLion has no affiliation with these providers — we just think they're the best free options.

Course Notes

- OpenStax Calculus Vol 1 (openstax.org/books/calculus-volume-1): CC BY 4.0 - Khan Academy Calculus 1 (khanacademy.org/math/calculus-1) - Paul's Online Math Notes (tutorial.math.lamar.edu/Classes/CalcI)

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CLEP® is a registered trademark of College Board, which is not affiliated with PrepLion. All practice questions are original content.