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Basic Mathematics (Coursera)

Welcome to Basic Mathematics course! This course provides elementary introduction to basic mathematics concepts and their applications. In this course, you will be introduced to Complex Numbers, Quadratic Equations, Trigonometry, Matrices, Differential Calculus, Integral Calculus and Ordinary Differential Equations along with the applications of each concept. After completing this [...]

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)

May 6th 2024
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)

May 6th 2024
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 [...]

Calculus through Data & Modeling: Applying Differentiation (Coursera)

May 6th 2024
Calculus through Data & Modeling: Applying Differentiation (Coursera)
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As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult to evaluate. We [...]

Precalculus: Periodic Functions (Coursera)

May 6th 2024
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: Linear Algebra (Coursera)

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these [...]

Vector Calculus for Engineers (Coursera)

Vector Calculus for Engineers covers both basic theory and applications. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about multidimensional integration and curvilinear coordinate systems. The fourth week covers line and surface integrals, [...]

Introduction to Ordinary Differential Equations (Coursera)

In this introductory course on Ordinary Differential Equations, we first provide basic terminologies on the theory of differential equations and then proceed to methods of solving various types of ordinary differential equations. We handle first order differential equations and then second order linear differential equations. We also discuss some [...]