Advantix Calculator provides the following features:

 
2 and 3 Dimensional Graphs
Real and Complex Mathematics
Matrix & Vector Mathematics
Polynomial Mathematics
Rational Function Mathematics
Binary Mathematics
Logic Mathematics
User Defined Function Or Transformation
Advantix Calculator Built-In Functions
Equation Solver Interface
Differentiation Interface
Integration Interface
Formula Interface

2 and 3 Dimensional Graphs

1. Graph one or more user defined real functions of one real variable in a rectangular coordinate or polar coordinate.
2. Graph one or more sets of real (x,y) points in rectangular coordinate or polar coordinate.
3. Graph one or more user defined real functions in parametric forms.
4. Graph a surface of an user defined real function of two real variables.
5. Graph a 2-D or 3-D Bar chart, Pie Chart or Line chart of one or more sets of real numbers.

Real and Complex Mathematics

1. Add, subtract, multiply and divide real or complex numbers.
2. Define and evaluate an user defined scalar function.
3. Find the zero of a given user defined scalar function.
4. Compute the slope, derivative or integral of an user defined scalar function.
5. Determine the greatest common divisor and the least common multiple of two integers.
6. Define and evaluate a scalar expression.

Matrix & Vector Mathematics

1. Add, subtract and multiply two matrices or two vectors.
2. Compute the inverse or determinant of a given square matrix.
3. Solve a system of linear equations.
4. Determine the transpose of a matrix.
5. Compute the conjugate of a matrix.
6. Compute the Euclidean norm of a vector.
7. Find the eigen polynomial (characteristic polynomial) of a given square matrix.
8. Compute the interpolating polynomial that interpolates a set of (x,y) points represented by a n x 2 matrix.
9. Compute the direct and inverse Fourier Tranform of a sequence of scalar numbers represented by a vector.
10. Compute the dot product (also known as scalar product) of two vectors.
11. Compute the cross product of two 3-dimensional vectors.
12. Define and evaluate an user defined matrix transformation.
13. Define and evaluate a matrix expression.

Polynomial Mathematics

1. Add, subtract, and multiply two polynomials.
2. Find the quotient (divide) or the remainder of two polynomials.
3. Define and evaluate an user defined polynomial function.
4. Find the zeroes of a polynomial.
5. Determine the factorization of a polynomial.
6. Compute the derivative or integral of a polynomial.
7. Find the eigen polynomial (or characteristic polynomial) of a given square matrix.
8. Compute interpolating polynomial that interpolates a given set of (x,y) points.
9. Determine the greatest common divisor or the least common multiple of two polynomials.
10. Evaluate a polynomial pA(x) at some specific scalar value x, for example, pA(2-i).
11. Define and evaluate an user defined polynomial transformation.
12. Define and evaluate a polynomial expression.

Rational Function Mathematics

1. Add, subtract, multiply and divide two rational functions.
2. Reduce a rational function to an irreducible rational function.
3. Define and evaluate an user defined rational function mapping.
4. Find the zeroes and poles of a rational function.
5. Compute the derivative of a rational function.
6. Evaluate a rational function rA(x) at some specific scalar value x, for example, rA(2-i).
7. Define and evaluate a rational function expression.

Binary Mathematics

1. Add ( + ), Subtract ( - ), Multiply ( * ), or Divide ( / ) two binary, octal, decimal or hexadecimal numbers.
2. Perform the bitwise And ( & ), Or ( | ), Exclusive Or ( @ ) operation on two binary, octal, decimal or hexadecimal numbers.
3. Perform the bitwise Not ( ! ), Shift Left ( << ) or Shift Right ( >> ) operation on a binary, octal, decimal or hexadecimal number.
4. Convert a number in one base to another base.
5. Define and evaluate an user defined binary function.
6. Define and evaluate a binary expression, octal expression, decimal expression or hexadecimal expression.

Logic Mathematics

1. Compare two scalar (real) expressions (or real numbers) using the following comparing operators: Equal , Not Equal, Smaller, Smaller Or Equal, Greater, Greater Or Equal.
2. Perform the logical And, Or , Exclusive Or, Equivalent, Imply or Not operation on Boolean values (True, False) or logic expressions.
3. Define and evaluate an user defined logic function.
4. Define and evaluate a logic expression.

User Defined Function Or Transformation

Advantix Calculator categorizes user defined functions into six function types based on their return values as following:

1. Scalar Function is a function that returns a scalar number.
2. Polynomial Function is a function that returns a polynomial.
3. Rational Function Transformation is a mapping (function) that returns a rational function.
4. Matrix Function is a function that returns a matrix.
5. Logic Function is a function that returns a Boolean value (i.e., True or False).
6. Binary Function is a function that returns a binary, octal, decimal or hexadecimal number.

Advantix Calculator Built-In Functions

1. Trigonometric Functions.
2. Hyperbolic Functions (such as sinh, cosh).
3. Exponential and Logarithmic Functions.
4. Common Calculus & Algebra Functions (such as Derivative, Integral, Slope, Find Zero).
5. Special Functions (such as Gamma, Beta, Bessel).
6. Discrete Fourier Transform Functions.
7. Polynomial Functions.
8. Rational Functions.
9. Matrix and Vector Functions (such as Determinant, Inverse, Tranpose).
10. Statistical Functions (such as Mean, Variance, Deviation, Linear Regression).
11. Financial Functions (such as Present Value, Future Value, Loan Payment, Interest Payment, Saving Deposit).
12. Number Base Conversion Functions (such as convert a number from one base to another base).

Equation Solver Interface

1. Solve all linear and non-linear equations of the form F(x)= 0 (i.e. find zeroes of F(x)).
2. Select a solving method from three common algorithms: Bisection, Secant, Newton.
3. Graph a function to determine the locations of its zeroes.

Differentiation Interface

1. Compute the numerical and symbolic differentiation of an user defined scalar function.
2. Compare numerical results from three common algorithms.

Integration Interface

1. Compute numerically the definite integral of an user defined scalar function.
2. Compare numerical results from three common algorithms: Traperzoidal Rule, Simpson Rule and Gaussian Quadratures.
3. Compute symbolically the integral of an user defined function.
4. Access to more than 200 common integration formulae where users can input required formula parameters and obtain integration result. For example, to compute the integral of F(x) = x^2*Sin(3*x)^3*cos(4*x)^5, users can select the integration formula x^n*Sin(a*x)^m*Cos(b*x)^p and input values for parameters n,m,p,a,b. In this example, n=2, m=3, p=5, a=3 and b=4.

Formula Interface

1. Define formula relations (i.e., mathematical relations between 2 or more variables such as Miles = 0.6214*Kilometers).
2. Evaluate a user defined formula for an unknown variable (i.e., given Kilometers, solve for Miles and vice versa).
3. User can use this interface to define and evaluate conversion formulea.