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).

About Mathematics

  About Mathematics  
Brief introductions

Mathematics - Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and game theory. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics and practical applications for what began as pure mathematics are often discovered. (Wikipedia)
 

Some mathematical terms - click on any one above to Google.

 

The Open Education Directory menu for Mathematics is in the top left margin.


  Mathematics - Open Textbooks  
Links to open access (free) textbooks.

Links to Listings of Open Textbooks (all subject areas)


  Mathematics - Support for Learners  
Sites that actively support learners - eg learner communities, forums, expert help etc

See Also:

Massive Open Online Courses (MOOCs)


  Mathematics - Best Resource Sites  
iBerry's choice - other recommendations welcome!

See Also:

More Mathematics Resource Sites

Open Courseware

  Mathematics - Open Courseware (OCW) 

The following links have been chosen by iBerry as good examples of OCW for this topic. Only significant content such as notes, images, videos etc covering topics in reasonable depth are included. Items consisting only of course advertisements, sub-topic headings, single lectures or where a significant proportion of material is password protected are not included. Comments are welcome!

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

Math Alive

mathematical concepts behind important modern applications: Cryptography, Error correction & compression, Probability & Statistics, Birth, Growth, Death & Chaos, Graph Theory, Voting & Social Choice

Mathematical Visualization Toolkit

set of visual and computational tools designed to help students better visualize concepts of Calculus: Scientific calculator, tools (plotting, Numerical, Linear algebra, Differential equations), Content-specific applications, Other Calculus visualization tools, Tutorial-style help system

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