LICHI Calculus1.0 - App Store

Level : University 1st year

Simple & Brief

Concept Forming page is paired with Exercise Problem page

Able to Blind and Open Solution

Jump from contents index to concept page or Exercise page

Zooming and Scrolling and Horizontal lock

Function Composite Inverse Shift Scale Reflect Even Odd

Exponential Logarithm Inverse Trigonometric

Limit Calculation (1+1/x)^x->e x~sinx~tanx~ln(1+x)~e^x-1

- definition

Continuity - Intermediate value theorem Extreme value theorem

Differentiation Rules Parametric Implicit Inverse

x^n Exponential Logarithm Trigonometry

Tangent line Local extrema Mean value theorem Concavity

L hospital s rule Newton s method

Integration Indefinite Definite Area Substitution

Volume Revolution Cylindrical shell Length of curve

Surface Area

Rebuild Logarithm Trigonometric substitution

Hyperbolic Its inverse

By parts Partial fraction Improper

Differential Equation Exponential change Slope field Separable

First-order linear Euler s method Logistic growth

Conic Section Eccentricity Rotation Parameterization

Polar Coordinates Area Length Surface area Conic curve

Seq. and Series Limit Continuous function theorem

Non-decreasing bounded Infinite series

Convergence Test Integral Comparison Ratio Root

Alternating series

Power Series Radius of convergence Term-by-Term Taylor series

Fourier series

Application - Center of mass Pappus s theorem

Water pressure force Work Spring condenser

LCR circuit Rotational inertia

Rate of chemical reaction Big O

EXCLUDE vector calculus, multi-variable calculus.

Requires iOS 9.3 or later. Compatible with iPhone, iPad, and iPod touch.