CalcRef reference
Calculus topics
136 formulas across 8 topics, each with the notation, conditions, and worked examples from the CalcRef database. Every page here is free to read - no account needed.
Limits & Continuity
Limit definitions, laws, special limits, and continuity theorems
18 formulas
Derivatives
Derivative rules for polynomials, trig, exponential, and inverse functions
24 formulas
Applications of Derivatives
Tangent lines, optimization, related rates, and curve sketching
15 formulas
Integrals
Fundamental theorem, antiderivatives, and integral properties
19 formulas
Techniques of Integration
Substitution, parts, trig sub, partial fractions, and improper integrals
16 formulas
Applications of Integrals
Area, volume, arc length, surface area, and work
14 formulas
Sequences & Series
Convergence tests, power series, Taylor and Maclaurin series
18 formulas
Parametric, Polar & Vectors
Parametric curves, polar coordinates, and vector operations
12 formulas
Related guides
Prefer to read a topic end to end? These free guides walk through the reasoning behind the formulas above.
Understanding Limits Intuitively: What Calculus Actually Means by "Approaching"
A plain-English guide to limits in calculus: what "approaching a value" really means, why 0/0 is not the end of the story, and how one-sided limits and infinity fit in.
Every Derivative Rule, in the Order You Actually Learn Them
A narrative cheat-guide to the derivative rules: power, constant, sum, product, quotient, and chain rules, explained in learning order with when-to-use guidance.
How to Know Which Integration Technique to Use
A decision guide for integration: when to use u-substitution, integration by parts, trig substitution, or partial fractions, with the tell-tale signs for each method.
A Realistic Study Plan for Surviving Calculus 1
A week-by-week plan for passing Calculus 1: what to master in each unit, how to practice efficiently, and where students most often fall behind.