# Python Tutorial

Some practical examples, solutions and problems solved in the Python language

**Classes and objects**

**List**

- How to make a list
- How to create a numeric list
- How to read a list
- How to read an item in a list
- How to copy a list
- Add elements to list
- Remove items from list
- Extract items from list
- Get first element of a list
- Get last element of a list
- Check if an element exists in a list
- How to make an iterator
- Converting list to iterator
- Converting iterator to list
- List Comprehension

**Tuple**

**File**

**Python Graph**

**Mathematics**

- How to find the factorial of a number
- How to round a number
- How to truncate a number
- How to write PI
- How to find greatest common divisor (GCD)
- How to fine least common multiple (LCM)
- How to calculate power of a number
- How to calculate logarithm
- How to calculate square of the binomial (a+b)
^{2} - How to calculate binomial cube (a+b)
^{3} - How to calculate exponential
- How to calculate nth root
- How to calculate algebraic expansion of power of a binomial

**Statistics**

- How to calculate arithmetic mean
- How to calculate mode
- How to find median value
- How to calculate variance

**Mathematical analysis**

- How to find a limit of a function
- How to calculate derivative of a function
- How to find derivative at a point
- How to calculate antiderivative ( Indefinitive Integral )
- How to calculate definitive integral

**Linear algebra**

- How to make a matrix
- How to make a vector
- Change array size
- Count array elements
- Create an array of sequential numbers

Select an array element - Make a matrix of ones
- Create a multidimensional array ( tensor )
- Multiply two matrices
- Extract a column from a matrix
- Transpose a matrix
- Find the determinant
- Find the numbers of rows and columns of a matrix
- Calculate the inverse matrix
- Create an identity matrix
- Calculate the cross product
- Calculate the scalar product
- Calculate eigenvectors
- Calculate eigenvalues

**Trigonometry**

- How to calculate sine
- How to calculate cosine
- How to calculate tangent
- How to find arcsine
- How to find arccosine
- How to find arctangent
- How to find cosecant
- How to find cotangent
- How to find secant

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