Calculus

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Calculus through Data & Modeling: Differentiation Rules (Coursera)

Jun 21st 2021
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 [...]
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Calculus through Data & Modeling: Precalculus Review (Coursera)

Jun 21st 2021
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 [...]
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Calculus through Data & Modeling: Limits & Derivatives (Coursera)

Jun 21st 2021
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 [...]
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Calculus through Data & Modeling: Applying Differentiation (Coursera)

Jun 21st 2021
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 [...]
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Precalculus: Mathematical Modeling (Coursera)

Jun 21st 2021
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 [...]
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Precalculus: Relations and Functions (Coursera)

Jun 21st 2021
Precalculus: Relations and 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 [...]
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Calculus and Optimization for Machine Learning (Coursera)

Hi! Our course aims to provide necessary background in Calculus sufficient for up-following Data Science courses. Course starts with a basic introduction to concepts concerning functional mappings. Later students are assumed to study limits (in case of sequences, single- and multivariate functions), differentiability (once again starting from single variable [...]
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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. [...]
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Vector Calculus for Engineers (Coursera)

We cover 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 integrating fields. The fourth week covers the fundamental theorems of vector calculus, including the gradient theorem, the divergence [...]
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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 [...]
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