Mathematics

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Mathematical understanding of uncertainty (edX)

Jul 5th 2022
Mathematical understanding of uncertainty (edX)
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This lecture series discusses how the concept of probability can be used to handle, control, and exploit uncertainty in the real-world. It is an undergraduate-level lecture series on probability, but is entirely different from the usual courses on probability theory.

Mathematics for Engineers: The Capstone Course (Coursera)

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 [...]

Calculus through Data & Modeling: Differentiation Rules (Coursera)

Jul 4th 2022
Calculus through Data & Modeling: Differentiation Rules (Coursera)
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Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational [...]

Calculus through Data & Modeling: Limits & Derivatives (Coursera)

Jul 4th 2022
Calculus through Data & Modeling: Limits & Derivatives (Coursera)
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This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. For example, the derivative of the position of a moving object with [...]

Lectures on Selected Topics in Classical and Fluid Mechanics (Coursera)

This course is devoted to selected problems of classical (theoretical) and fluid mechanics which are usually remain outside the standard course of mechanics. Despite the fact that the course is aimed at students with an understanding of the methods and approaches of classical and fluid mechanics, several lectures of [...]

Precalculus: Mathematical Modeling (Coursera)

Jul 4th 2022
Precalculus: Mathematical Modeling (Coursera)
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This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning [...]

Precalculus: Periodic Functions (Coursera)

Jul 4th 2022
Precalculus: Periodic Functions (Coursera)
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This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning [...]

Precalculus: Relations and Functions (Coursera)

This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning [...]

Mathematics for Machine Learning: PCA (Coursera)

This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto [...]

Mathematics for Machine Learning: Multivariate Calculus (Coursera)

This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginning with a refresher on the “rise over run” formulation of a slope, before converting this to the formal definition of the gradient of a function. [...]