LICHI Calculus app for iPhone and iPad

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
ε-δ 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.