Numerical Analysis Made Easy

Zeros

• Newton-Raphson Method
• Bisection Method
• Regula Falsi Method
• Quadratic Functions
• Do the Quadratic Equation
• Complete the Square

Interpolation

• Direct/Conventional Method
• Lagrange Method

Differentiation

• READ: Linear Functions
• 3 Difference Quotients for f'(x) & f”(x)
• Average Rate of Change
• Find Secant Line given 2 Points
• Find Point Slope & y=mx+b given Pt & Slope
• Find Tangent Line & Evaluate
• Differentials
• Integration
• Area Approx. RAMS
• Area Approx. RAMS
• Gauss Quadrature

Differential Equations

• Euler Method
• Modified Euler / Heun Method
• Ralston Method
• Midpoint – RK2 Method
• Runge Kutta – RK4 Method

Taylor Series

• Develop Taylor Series using Definition
• Taylor Series with Error Bound
• Compose 2 Taylor Series

Matrix: Basics

• READ about Matrices
• All in One Matrix Analyzer
• A + B
• A * B
• k*A
• Symmetry(A)
• Minor
• Matrix: Operations
• Row Echolon
• Reverse Row Echolon
• Gauss Elimination
• Find EigenValues
• Find EigenVectors
• Find Orthonormal Basis
• Gram Schmidt Procedure
• Find Inverse via RREF
• Find Inverse via Formula
• Find Determinant via Diagonal
• Find Determinant via formula
• Find Trace

Matrix: Applications

• LU Decomposition & solve A*X=B
• Solve A*X=B
• Solve A*X=B with 1 Parameter
• Cramer Rule to solve A*X=B
• Simplex Algorithm
• Rotate a point via Matrices
• Diagonalization
• LU Factorization
• QR Factorization
• v(A) – Square Root

Markov Chains & Stoch. Matrices

• Stochastic and Regular Stochastic Matrix
• Probability Vector
• Terminal State & Fixed Probability Vector
• Find A^n
• nth State of a Markov Chain: p0*A^n

Regression

• Find Regression Line y=mx+b
• Find Regression Line y=mx+b Step by Step
• Find Regression Line y=a+bx
• Read: All about Linear Regression
• Read: Correlation is not Causation!
• Find Median-Median Line y=mx+b
• Find Quadratic Regression y=ax^2+bx+c
• Find Cubic Regression y=ax^3+bx^2+cx+d
• Quartic Regression y=ax^4+bx^3+cx^2+dx+e
• Find Power Regression y=a*b^x
• Find Exponential Regression y=a*x^b
• Find Logarithmic Regression y=a+b*ln(x)
• Find Sinusoidal Regression y=a*sin(bx+c)+d
• Logistic Regression y=c*e^(bx)/(e^(bx)+a)

Algebra & Polynomials

• Solve any Equation or Inequality
• Find Partial Fractions
• All-in-one-Polynomial Explorer
• Find Degree
• Find Roots
• Polynomial Division & Remainder
• Synthetic Division
• View Legendre Polynomials
• Extras
• Convert: Decimals

Help & About

• Help & Use of Keys
• What to Input
• About us
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