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.