indrajithbandara / ml-precourse

Welcome to the Lambda School Machine Learning program! This is the first of many coding assignments that will teach you modern Machine Learning.

The Lambda School Machine Learning Precourse work enables you to demonstrate basic understanding of Python3 programming, linear algebra, very basic calculus, and conforming to unit test requirements.

Prereqs

You can only execute the tests in a python programming environment. Run the tests in order to determine if your solutions are correct:

python test.py

You must add the functions described below into the file precourse.py.

Calculus

Please define three functions with the names 'f', 'f_2', and 'f_3'. These functions should respectively return the following values: x^2, x^3, and x^3 + 5x.

Define three additional functions d_f, d_f_2, and d_f_3. These functions should respectively return the derivative of their associated functions above: d_f returns the derivative of f, d_f_2 returns the derivative of f_2, and d_f_3 returns the derivative of f_3.

Linear Algebra

Define functions that perform basic vector arithmetic operations:

The sum of two vectors x and y is another vector v:

Calculate this new vector in a function defined vector_sum

The difference of two vectors x and y is another vector v:

Calculate this new vector in a function defined vector_less

The magnitude of a vector, its length, is:

Calculate this magnitude, a single number, and return it in a function defined vector_magnitude

Using numpy's array object, define functions vec5, vec3, vec2_1, and vec2_2 that respectively return

Finally, the last of your precourse python examples. Write a matrix multiplication function that multiplies a 2 element vector by a 2x2 matrix matrix_multiply(vec,matrix)

You can see the LaTeX description of the above matrix in precourse.tex.

That's it! Once again, a list of the functions you must properly implement:

• f
• f_2
• f_3
• d_f
• d_f_2
• d_f_3
• vector_sum
• vector_less
• vector_magnitude
• vec5
• vec3
• vec2_1
• vec2_2
• matrix_multiply

Good luck Lambda School Machine Learning students! Remember, while Lambda School's Machine Learning program is not a math class, everything in Machine Learning hinges upon it! These fundamentals will prepare you to understand the models that we will building, copying from the greatest innovators and implementing their original ideas.