Tag: calculus

Probability and Random Processes

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From Amazon: “This book gives an introduction to probability and its many practical applications by providing a thorough, entertaining account of basic probability and important random processes, covering a range of important topics. Emphasis is on modelling rather than abstraction and there are new sections on sampling and Markov chain Monte Carlo, renewal-reward, queuing networks, stochastic calculus, and option pricing in the Black-Scholes model for financial markets. In addition, there … Continue Reading

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

The Open Source Data Science Masters

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“The open-source curriculum for learning Data Science. Foundational in both theory and technologies, the OSDSM breaks down the core competencies necessary for making use of data. The Internet is Your Oyster. With Coursera, ebooks, Stack Overflow, and GitHub — all free and open — how can you afford not to take advantage of an open source education?” This program consists of a list of courses and resources. The curriculum covers: … Continue Reading

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