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.

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iBerry's (unsorted) links on delicious
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

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Massive Open Online Courses (MOOCs)


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

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More Mathematics Resource Sites 


  Mathematics - Unsorted Links    
Miscellaneous unsorted links
 

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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!

Game Theory with Engineering Applications

fundamentals of game theory and mechanism design, Motivations drawn from engineered/networked systems, emphasizes theoretical foundations, mathematical tools, modeling, and equilibrium notions in different environments

Mathematical Methods for Engineers

numerical methods, initial-value problems, network flows and optimization: Readings, Projects, Study Materials
 

Advanced Analytic Methods in Science and Engineering

comprehensive treatment of the advanced methods of applied mathematics: series solutions of linear homogeneous ODE, WKB method, asymptotic expansion of integrals, boundary layer theory, small non-linear oscillations

Software & Web Projects

Java simulations: nonEuclid (Interactive Java software for creating ruler & compass constructions), paper-folding-fractals (Java software & HTML documentation), DFIELD & PPLANE (interactive tools for differential equations), CrystalLab (exploring interaction of light, crystals, & water droplets)

- - - - Fractal Zoom - - - -

Fractal Zoom (HD) to 6.066 e228 (2^760) Mandelbrot - (Last Lights On)
 

Computational Geometry

techniques needed in designing and analyzing efficient algorithms and data structures for computational problems in discrete geometry, such as convex hulls, geometric intersections, geometric structures such as Voronoi diagrams and Delaunay triangulations, arrangements of lines and hyperplanes, and range searching

Mathematics for Computer Science

Fundamental Concepts of Mathematics (Definitions, Proofs, Sets, Functions, Relations), Discrete Structures (Modular Arithmetic, Graphs, State Machines, Counting), Discrete Probability Theory: readings, course download

Wolfram Demonstrations Project

brings computational exploration to the widest possible audience, open-code resource that uses dynamic computation to illuminate concepts, free player runs all demos: Browse Latest, Random Selection, FAQs, Authoring area

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