Calculus Quick Notes

A comprehensive calculus reference for students and professionals.

This is the comprehensive go-to app for calculus students, and for people who have taken calculus and need a ready reference on calculus topics.

This calculus reference app is written by a mathematics tutor who has had ten years experience working with high school and college students, and understands their needs, their struggles, and with explanations that work well. It contains information on pre-calculus, limits, theorems, derivatives, integrals, integral applications and methods, and infinite series with detailed descriptions, tips and examples. Most descriptions and examples use color coded symbols to enhance student understanding.

This app is updated regularly with new material. It has the most complete and useful coverage of any calculus reference app on the android market. It also includes a means to quickly email the creators from within the app with questions, suggestions or corrections.

Pre-Calculus topics covered:

Shifting Graphs with h and k

Logarithm Properties

Trigonometric Identities (48)

Limits topics covered:

Delta-Epsilon Proof

L'Hôpital's Rule

Theorems covered:

Rolle's Theorem

Mean Value Theorem

First Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus

Derivatives covered:

Constant Function

Scalar Multiple

Sum or Difference Rule

Power Rule

Product Rule

Quotient Rule

Chain Rule

Trig Derivatives (6)

Inverse Trig Derivatives (6)

Exponential Functions

Log Functions

Inverse Functions

Differentiation Methods covered:

Implicit Differentiation

Logarithmic Differentiation

Integrals covered:

Sum or Difference Rule

Constant Multiple Rule

Power Rule

du / u

Exponential Rule (2)

Logarithmic Integrals (2)

Trig Integrals (6)

Inverse Trig Integrals (6)

Integration by Parts

Integral Applications and Methods covered:

Work

Volume by Disk/Washer Method (2)

Volume by Shell Method

Arc Length Integration (3 forms)

Products of Sine and Cosine

Products of Secant and Tangent

Reduction - Sine and Cosine

Reduction - Secant and Cosecant

Reduction - Tangent and Cotangent

Infinite Series Convergence Tests covered:

Series Test Battery

Nth Term Test

Geometric Series

Telescoping Series

Integral Test

p-Series

Comparison Test

Limit Comparison Test

Alternating Series Test

Ratio Test

Root Test

Center of Mass/ Centroid covered:

Double Integration for Area

Linear Center of Mass / Centroid

Planar Center of Mass/ Centroid - Double Integral Approach

Planar Centroid - Area Beneath a Curve

Planar Centroid - Area Between Two Curves

Centroid - Solid of Revolution

Taylor (Maclaurin) Series covered:

Taylor (Maclaurin) Series overview

Common Maclaurin Series

Vector Calculus covered:

Two-Dimensional Vector Representations

Feel free to email me with any questions or comments on this app, or additional material that you would like to see covered. To email me from within the app, touch the envelope icon in the top right corner of the screen.