Mathematics

After completing this course, learners will be able to: analytically optimize different types of functions commonly used in machine learning using properties of derivatives and gradients; approximately optimize different types of functions commonly used in machine learning using first-order (gradient descent) and second-order (Newton’s method) iterative methods; visually interpret [...]

This course explores questions about mathematics, nature, and perfection. You will learn about logic, computers, simulations, and different perspectives on the nature of human consciousness. You will also be able to determine what free will means to you and your reality. Next, you will learn the features of artificial [...]

This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable [...]

Mathematics for Engineers: The Capstone Course provides a capstone project for students who are completing the Mathematics for Engineers specialization. Students will first learn some basic concepts in computational fluid dynamics, and then apply these concepts to compute the fluid flow around a cylinder. Access to MATLAB online [...]

Líneas rectas, círculos, parábolas, elipses e hipérbolas son figuras geométricas que encontramos en nuestro derredor. Por ejemplo, mucha gente sabe que los planetas en nuestro sistema solar se mueven en órbitas elípticas teniendo al astro rey en un foco de esta figura. Sin embargo, pocos saben que la plaza [...]