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).

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

Introduction to Numerical Methods

numerical linear algebra & methods for solving ordinary differential equations, linear systems of equations, least square, eigenvalue & singular value problems: tools

SticiGui Java Tools

statistics tools for internet and classroom instruction (for business, social science, or liberal arts, important statistical & probabilistic concepts,subjective decisions, pitfalls in analyzing data & making inferences from numbers): notes, tools (binomial histogram, calculator, chi-square distribution, controlling for variables, confidence intervals, correlation & regression, histogram, law of large numbers, normal approximation to data, normal curve & probabilities, calculator, sampling distributions, scatterplots, Student's t distribution, Venn diagrams)

Gödel, Escher, Bach: A Mental Space Odyssey

math, fractals, logic, paradoxes, infinities, art, language, computer science, physics, music, intelligence, consciousness, unified theories, based on Douglas Hofstadter's Pulitzer Prize winning book, higher dimensions of recursive thinking
 

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)

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