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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 PagePrime Sites
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Maths - Open Textbooks
Introduction to Complex NumbersBasic 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 EquationsRandom 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 & Proofsmodern 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 TheorySingle Variable Calculus, rigorous level, careful reasoning and understanding of proofs, assumes knowledge of elementary calculus
A Problem Course in Mathematical Logicdefinitions, statements of results, and problems, along with some explanations, examples, and hints
Elementary & Intermediate Algebra Courses
Calculus with Applicationsdifferential calculus in one and several dimensions: readings, study materials
Online Statistics Education: An Interactive Multimedia Course of Studyresource 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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