Calculus

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Calculus for Machine Learning and Data Science (Coursera)

Jan 30th 2023
Calculus for Machine Learning and Data Science (Coursera)
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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 [...]

Calculus through Data & Modeling: Differentiation Rules (Coursera)

Jan 30th 2023
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: Precalculus Review (Coursera)

Jan 30th 2023
Calculus through Data & Modeling: Precalculus Review (Coursera)
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This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on using these functions to model [...]

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

Jan 30th 2023
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)

Jan 30th 2023
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: Mathematical Modeling (Coursera)

Jan 30th 2023
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: 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: 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. [...]

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 Calculus (Coursera)

The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to [...]