Maths (specialist)

Open Courseware and Resources (specialist)

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

Mathematics - Resource Page

Prime Sites

  • AcademicInfo (US): Subject Guides - Mathematics: round up of best and most useful links and resources, listing both printed reference works and electronic resources, taking into account accessibility, authoritative sources, ease of use and aim to present a fair and well rounded perspective of the respective subject matter
  • American Mathematical Society (AMS) (US) - furthers mathematical research and scholarship through programs and services that promote mathematical research and its uses, strengthens mathematical education, fosters awareness and appreciation of mathematics and its connections to other disciplines and to everyday life: Membership, Career Services, Meetings, The Profession, Authors, Government, Public Awareness, Customer Services
  • MERLOT Mathematics Portal - goal to improve effectiveness of teaching and learning by increasing the quantity and quality of peer reviewed online learning materials easily incorporated into faculty designed courses: teaching, learning materials (Subject Categories, Browse, Pedagogic Collection, Peer Review Process), beyond MERLOT, showcase
  • Wisconsin University (US), Catalog of Mathematics Resources on the WWW and the Internet - general (US, other), Pure Maths, History & Biographies, Applied, Computational, Mathematical Physics, Teaching, Education, student Servers, Statistics, Probability, References, Utilities, FAQ's, Discussion Groups, Newsletters and Announcements, Newsgroups, Software, Program, Graphers and Calculators, Publications, Journals and Preprints,Art, Graphics, VRML and Cryptography, College and Pre-College, Directories of Resources

Other Sites . . . . . .

Maths - Open Textbooks

Introduction to Complex Numbers

Basic arithmetic of complex numbers, Argand diagram (modulus and argument of a complex number), Statement of the Fundamental Theorem of Algebra, Roots of unity, De Moivre's Theorem, Simple transformations in the complex plane, Polar form, applications

Stochastic Evolution Equations

Random variables in Banach spaces, Stochastic integration in Banach spaces, Stochastic evolution equations, basic techniques of probability theory in infinite-dimensional spaces and their applications to stochastic partial differential equations, model a stochastic partial differential equation as an abstract stochastic evolution equation on a suitably chosen infinite-dimensional state space and solve this equation using fixed point techniques and stochastic integration in infinite dimensions

Logic & Proofs

modern symbolic logic, rigorous presentation of the syntax and semantics of sentential and predicate logic, emphasis on strategic argumentation, effective strategies for constructing natural deduction proofs, (supported by the Carnegie Proof Lab providing interface in which students give arguments by strategically guided forward and backward steps)

Calculus with Theory

Single Variable Calculus, rigorous level, careful reasoning and understanding of proofs, assumes knowledge of elementary calculus

A Problem Course in Mathematical Logic

definitions, statements of results, and problems, along with some explanations, examples, and hints

Calculus with Applications

differential calculus in one and several dimensions: readings, study materials

Online Statistics Education: An Interactive Multimedia Course of Study

resource for introductory statistics, material presented in textbook format and vide, case studies, analysis lab: Graphing & Summarizing Distributions, Describing Bivariate Data,Probability, Research Design, Normal Distributions, Advanced Graphs, Sampling Distributions, Estimation, Hypothesis Testing, Testing Means, Power, Regression, ANOVA, Transformations, Chi Square, Effect Size, Calculators, Glossary

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