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).

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

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

Abstract Algebra

study of groups, group actions, vector spaces, linear algebra and the theory of fields

Calculus Revisited

covers materials normally found in a freshman-level introductory calculus course: Sets, Functions, and Limits; Differentiation; The Circular Functions; The Definite Integral; Transcendental Functions; More Integration Techniques; Infinite Series; Study Materials
 

Introduction to Statistical Thought

textbook in statistical thinking with a likelihood emphasis for students with a good knowledge of calculus and the ability to think abstractly, focus on ideas that statisticians care about, likelihood function and likelihood principle are unifying ideas throughout the text

Interactive Real Analysis

online, interactive textbook for real analysis or advanced calculus in one real variable: sets and Relations, Infinity and Induction, Sequences of Numbers, Series of Numbers, Topology, Continuity and Differentiation, Metric Spaces, Historical Tidbits, Java Tool

Abstract Algebra Online

definitions & theorems etc: integers, functions, groups, polynomials, rings, fields, structure of groups, Galois theory, unique factorization, modules, structure of noncommutative rings, ideal theory of commutative rings

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