Roots of Equations

1. 1.Factorize Equations
   

2. 2.Solve a linear system of simultaneous equation.
   

3. 3.Roots of Equations
   

4. 4.The Newton-Raphson Method
   

5. 5.The Interval Bisection Method
   

6. 6.Bisection/Secant Methods for Root Finding
   

Graphing Tools

1. 1.Plotting of Basic Functions (Cartesian Plane)
   

Vector Algebra

1. 1.The Dot Product (Scalar product) between two vectors
   

2. 2.The Cross Product (Scalar product) between two vectors
   

Complex Numbers

1. 1.Structure of Complex Numbers
   

2. 2.Simplification of Complex Numbers
   

Sequences

1. 1.Sequence Sum (AP/GP)
   

2. 2.Sequence Solver
   

3. 3.Sequence Values
   

4. 4.Recursive Sequences
   

Series

1. 1.Maclaurin Series
   

2. 2.Taylor Series
   

3. 3.Partial Fractions
   

4. 4.Convergence Test
   

5. 5.Infinite Series Analyzer
   

Binomial Series

1. 1.Binomial Series Expansion
   

2. 2.Binomial Coefficient Finder
   

3. 3.General Purpose Binomial Series Expander
   

Differentiation

1. 1.Differentiate Functions Explicitly (the total derivative)
   

2. 2.nth Order Total Derivatives Explicitly (Higher Order Derivatives)
   

3. 3.Implicit Differentiation
   

4. 4.First Partial Derivatives of Functions f(x,y) = 0
   

5. 5.First Partial Derivatives of Functions f(x,y,z) = 0
   

6. 6.Second Partial Derivatives of Functions f(x,y,z) = 0
   

7. 7.First Parametric Derivative
   

8. 8.Second Parametric Derivative
   

Integration

1. 1.Indefinite Integral of functions
   

2. 2.Definite Integral of functions
   

3. 3.Area trapped between 2 Curves
   

4. 4.The Trapezium Rule for approximating definite integrals
   

5. 5.Simpson’s Rule for estimating definite integrals
   

6. 6.Numerical Methods (Midpoint, Left and Right Riemann’s Sums)
   

Matrices

1. 1.Algebraic Operations of Matrices
   

2. 2.3x3 Matrix Determinant and Inverse
   

3. 3.Augmented Matrix Row Echelon Reduction
   

ODE

1. 1.Differential Equations (general solution) solver applet A
   

2. 2.Differential Equations (general solution) solver applet B
   

3. 3.2nd Order Differential Equations (ODE) (particular solution)
   

Laplace Transforms

1. 1.Laplace Transforms
   

2. 2.Inverse Laplace Transforms
   

3. 3.Laplace Transform of Piecewise Functions

Counting

1. 1.n-Factorial
   

2. 2.Permutation
   

3. 3.Combinations
   

Probability

1. 1.Probability Calculator (Rolling Die)
   

2. 2.Probability Calculator (Coin Tossing)
   

Probability Distributions

1. 1.Normal Distribution
   

2. 2.Area under Curve (Normal Distribution)
   

3. 3.Chi-Square Distribution
   

4. 4.Binomial Distribution
   

Statistics

1. 1.Standard Deviation
   

2. 2.Mean, Median, Mode and Range
   

3. 3.Critical Value of Chi-Squared
   

4. 4.Z-test for Population Mean
   

5. 5.One Sample T-test Calculator
   

6. 6.Confidence Level for a Standard Deviation
   

Statistical Plots

1. 1.Scatter Plot
   

2. 2.Linear Regression
   

3. 3.Histogram