Tag: math

How Not to Be Wrong: The Power of Mathematical Thinking

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From Amazon: “The Freakonomics of math–a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands. The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur … Continue Reading

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)

NumPy Cheat Sheet – Python for Data Science

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“It’s common when first learning NumPy to have trouble remembering all the functions and methods that you need, and while at Dataquest we advocate getting used to consulting the NumPy documentation, sometimes it’s nice to have a handy reference, so we’ve put together this cheat sheet to help you out.” This cheat sheet covers the following topics: Key and Imports Importing/Exporting Creating Arrays Inspecting Properties Copying/sorting/reshaping Adding/removing Elements Combining/splitting Indexing/slicing/subsetting Scalar Math … Continue Reading

Data Science Math Skills

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From Coursera: “Data science courses contain math – no avoiding that! This course is designed to teach learners the basic math you will need in order to be successful in almost any data science math course and was created for learners who have basic math skills but may not have taken algebra or pre-calculus. Data Science Math Skills introduces the core math that data science is built upon, with no extra … Continue Reading

Mathematics for the Nonmathematician

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In this erudite, entertaining text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the student with a detailed treatment of mathematics in a cultural and historical context.