Maths (general)

Open Courseware and Resources (general)

- Mathematics: body of knowledge centered on such concepts as quantity, structure, space and change and also the academic discipline that studies them (Wikipedia).

Galileo and Einstein

explores two revolutions in perception of the universe, Galileo (realization that what we see in the heavens—the moon, the planets, the sun and stars—are physical objects), Einstein (space and time are not as straightforward as they first appear, but related to each other in a simple but unexpected way)

Insights into Mathematics (videos)

aims to explain interesting mathematics to a broad audience, to introduce exciting new research directions for geometry, and to fix some of the logical weaknesses of modern pure mathematics; Rational Trigonometry (much simpler, more powerful), Linear Algebra, Algebraic Topology, History of Mathematics, Universal Hyperbolic Geometry, Foundations of Mathematics

Lecture Notes of William Chen

Elementary Mathematics, First Year Calculus, Discrete Mathematics, Linear Algebra, Miscellaneous Topics in First Year Mathematics, Multivariable and Vector Analysis, Introduction to Complex Analysis, Fundamentals of Analysis, Linear Functional Analysis, Introduction to Lebesgue Integration, Elementary Number Theory, Distribution of Prime Numbers, Lectures on Irregularities of Point Distribution

- - - - - - - - - - - - - LOBACHEVSKY - Tom Lehrer - - - - - - - - - - - - -

A Tom Lehrer classic but as the uploader of this video comments - "btw don't take it seriously! Lobachevsky was a great mathematician ..."

Logic II

theory of computability, Gödel's theorem, applications, Church's theorem, Tarski's theorem, Gödel's second incompleteness theorem

The Integrator

pass integrals to 'Mathematica' for instant evaluation: history of integration, inside the integrator, FAQ

Street-Fighting Mathematics

art of guessing results and solving problems without doing a proof or exact calculation, techniques (extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, pictorial analysis), applications (mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, differential equations): readings, related resources

What's New in Econometrics?

Estimation of Average Treatment Effects Under Unconfoundedness, Linear Panel Data Models, Regression, Discontinuity Designs, Nonlinear Panel Data Models, Instrumental Variables with Treatment Effect, Heterogeneity, Control Function and Related Methods, Bayesian Inference Cluster and Stratified Sampling, Partial Identification, Difference-in-Differences Estimation, Discrete Choice Models, Missing Data, Weak Instruments and Many Instruments, Quantile Methods, Generalized Method of Moments and Empirical Likelihood

Free Mathematics Tutorials, Problems and Worksheets (with applets)

includes java applets to explore mathematical concepts & topics: interactive exploring and tutorials in precalculus (equations in two variables, functions & graphs, inverse of a function and one to one functions, explore other functions, exponential and logarithmic functions, hyperbolic functions, trigonometry, systems of equations, polar coordinates & equations, polynomials, rational functions, matrix multiplication, geometry), online algebra & trigonometry tutorials, graphing, online problems & self tests with answers, calculus tutorials

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