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Mathematics

- body of knowledge centered on such concepts as quantity, structure, space and change and also the academic discipline that studies them. Mathematics is the science of pattern and mathematicians seek out patterns whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions. - Wikipedia.

Wolfram Demonstrations Project

Wolfram Research

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

Advanced Analytic Methods in Science and Engineering

MIT (US), OpenCourseWare

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

Gödel, Escher, Bach: A Mental Space Odyssey

MIT (US), OpenCourseware

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.

Uncertainty in Engineering

Massachusetts Institute of Technology (US), OpenCourseWare

probability & statistics with emphasis on applications, events & probability, Bayes' theorem, random variables & vectors, distributions, Bernoulli trials & Poisson point processes, full-distribution uncertainty propagation, second-moment representation, propagation, conditional analysis, random sampling, estimation, hypothesis testing, linear regression

Numerical Methods in Engineering

Portland State University (US)

root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, numerical quadrature and numerical solution to ordinary differential equations

Probability with Engineering Applications

Illinois University (US)

probability theory & statistics with applications to engineering problems primarily chosen from areas of communications, control, signal processing & computer engineering: syllabus, books, exams, slides

Psychological Measurement & Data Analysis

Minnesota University (US)

basic statistics and measurement concepts, statistics in research situations and in everyday
“news clipping” situations: lab & other resources

Introduction to Statistics

Concordia University (US)

presented in an experimental psychology context, frequency distributions, measures of central tendency and dispersion, normal curve, correlation, elementary probability theory, hypothesis testing, t test: Labs, Java Demos

Whats New in Econometrics?

National Bureau of Economic Research (NBER) (US)

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

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