Calculus Quick Notes

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 kLogarithm PropertiesTrigonometric Identities (48)

Limits topics covered:Delta-Epsilon ProofL'Hôpital's Rule

Theorems covered:Rolle's TheoremMean Value TheoremFirst Fundamental Theorem of CalculusSecond Fundamental Theorem of Calculus

Derivatives covered:Constant FunctionScalar MultipleSum or Difference RulePower RuleProduct RuleQuotient RuleChain RuleTrig Derivatives (6)Inverse Trig Derivatives (6)Exponential FunctionsLog FunctionsInverse Functions

Differentiation Methods covered:Implicit DifferentiationLogarithmic Differentiation

Integrals covered:Sum or Difference RuleConstant Multiple RulePower Ruledu / uExponential Rule (2)Logarithmic Integrals (2)Trig Integrals (6)Inverse Trig Integrals (6)Integration by Parts

Integral Applications and Methods covered:WorkVolume by Disk/Washer Method (2)Volume by Shell MethodArc Length Integration (3 forms)Products of Sine and CosineProducts of Secant and TangentReduction
- Sine and CosineReduction
- Secant and CosecantReduction
- Tangent and Cotangent

Infinite Series Convergence Tests covered:Series Test BatteryNth Term TestGeometric SeriesTelescoping SeriesIntegral Testp-SeriesComparison TestLimit Comparison TestAlternating Series TestRatio TestRoot Test

Center of Mass/ Centroid covered:Double Integration for AreaLinear Center of Mass / CentroidPlanar Center of Mass/ Centroid
- Double Integral ApproachPlanar Centroid
- Area Beneath a CurvePlanar Centroid
- Area Between Two CurvesCentroid
- Solid of Revolution

Taylor (Maclaurin) Series covered:Taylor (Maclaurin) Series overviewCommon 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.