Math Package

A basic university-level mathematics package for Calculus and Linear Algebra operations.

This package provides simple mathematical functions for undergraduate students, including basic Calculus and Linear Algebra operations.

Installation

Install the package using pip:

pip install math_package
# Math Package

A basic university-level mathematics package for Calculus and Linear Algebra operations.

This package provides simple mathematical functions for undergraduate students, including basic Calculus and Linear Algebra operations.

## Installation

Install the package using pip:

    pip install math_package

## Usage

### Calculus

The Calculus module provides functions for derivatives, definite integrals, limits, Maclaurin series, and critical points.

    from math_package import calculus as calc

    coef, pwr = calc.derivative_power(3, 4)
    print(f"Derivative: {coef}x^{pwr}")

    print(calc.definite_integral_power(3, 2, 0, 2))

    print(calc.limit_polynomial([1, 2, 1], 3))

    print(calc.maclaurin_exp(1))

    print(calc.critical_points_quadratic(2, -8, 3))

### Linear Algebra

The Linear Algebra module provides basic matrix and vector operations.

    from math_package import linear_algebra as la

    A = [[1, 2], [3, 4]]
    B = [[5, 6], [7, 8]]

    print(la.matrix_add(A, B))

    print(la.matrix_multiply(A, B))

    print(la.determinant_2x2(A))

    print(la.transpose(A))

    print(la.dot_product([1, 2], [3, 4]))

## Modules

### Calculus

The `calculus` module includes:

- `derivative_power()` - Calculate the derivative of a power function.
- `definite_integral_power()` - Calculate the definite integral of a power function.
- `limit_polynomial()` - Calculate the limit of a polynomial.
- `maclaurin_exp()` - Approximate e^x using the Maclaurin series.
- `critical_points_quadratic()` - Find the critical point of a quadratic function.

### Linear Algebra

The `linear_algebra` module includes:

- `matrix_add()` - Add two matrices.
- `matrix_multiply()` - Multiply two matrices.
- `determinant_2x2()` - Calculate the determinant of a 2x2 matrix.
- `transpose()` - Find the transpose of a matrix.
- `dot_product()` - Calculate the dot product of two vectors.

## Author

Student Name

## License

This project is licensed under the MIT License.