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.
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