Tag: mathematics

Linear Algebra (MIT)

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“This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering…. This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course.” The course covers the following topics: Systems of linear equations Row reduction and echelon forms Matrix operations, including inverses Block matrices Linear dependence and … Continue Reading

Differential Equations

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A list of courses and exercises for learning and practicing the following topics in differential equations: First order differential equations Second order linear equations Laplace transform

Multivariable Calculus

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A list of courses and exercises for learning and practicing the following topics in multivariable calculus: Thinking about multivariable functions Derivatives of multivariable functions Applications of multivariable derivatives Integrating multivariable functions Green’s, Stoke’s, and the divergence theorems

Integral Calculus

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A list of courses and exercises for learning and practicing the following topics in integral calculus: Indefinite integrals Definite integrals introduction Riemann sums Fundamental theorem of calculus Definite integral evalution Integration techniques Area & arc length using calculus Integral applications Volume using calculus Sequences & series intro Series convergence & estimation Power series

Differential Calculus

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A list of courses and exercises for learning and practicing the following topics in differential calculus: Limits basics Continuity Limits from equations Infinite limits Derivative introduction Basic differentiation Product, quotient, & chain rules Differentiating common functions Advanced differentiation Analyzing functions with calculus Derivative applications

Linear Algebra

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Courses and exercises for learning and practicing the following topics in linear algebra: Vectors and spaces Matrix transformations Alternate coordinate systems (bases)

mathematicalmonk

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From Youtube: “Videos about math, at the graduate level or upper-level undergraduate”, these videos cover topics in mathematics and statistics that are less than 15 minutes long, with narration over written text and equations. Topics include: Machine Learning Probability Primer Information Theory

No Bullshit Guide to Math and Physics

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From Amazon: “Often calculus and mechanics are taught as separate subjects. It shouldn’t be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them. This is the deal. Give me 350 pages of your attention, and I’ll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, … Continue Reading

Mathematics: A Very Short Introduction

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From Amazon: “The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are … Continue Reading

Tales of Science and Data

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This is an ebook written as a series of Jupyter notebooks, “intended as a collection of personally elaborated materials on Data Science. Topics span a quite large spectrum in the Data Science field: nothing will ever be fully comprehensive, but the purpose is keeping this continuously updated. Learning never ends!” Content includes: Probability & Statistics Machine Learning: Supervised Learning Unsupervised Learning Artificial Neural Networks Model Assessment Natural Language Processing Computer … Continue Reading