Browsing Mathematics by Title
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Advanced Abstract Algebra
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules/Lecture: Rings, Morphisms and antimorphisms of rings; modules, submodules and direct sum, RHomomorphism, simple modules/semisimple modules, free modules introduction & results; Artinian models, Noetherian modules, ...

Advanced Complex Analysis Part 1:Zeros of Analytic Functions,Analytic Continuation, Monodromy, Hyperbolic Geometry and the Reimann Mapping Theorem
(National Programme on Technology Enhanced Learning (NPTEL), 201508)This is the first part of a series of lectures on advanced topics in Complex Analysis. By advanced, we mean topics that are not (or just barely) touched upon in a first course on Complex Analysis. The theme of the course ...

Advanced Complex Analysis Part 2: Compactness of Meromorphic Functions in the Spherical Metric, Spherical Derivative, Normality, Theorems of MartyZalcmanMontelPicardRoydenSchottky
(National Programme on Technology Enhanced Learning (NPTEL), 201603)This is the second part of a series of lectures on advanced topics in Complex Analysis. By advanced, we mean topics that are not (or just barely) touched upon in a first course on Complex Analysis. The theme of the course ...

Advanced Engineering Mathematics
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules/Lectures: Linear Algebra; Theory of complex variables; Transform calculus; Probability & Statistics.

Advanced Matrix Theory and Linear Algebra for Engineers
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules/Lectures: Prologue; Linear Systems; Vector Spaces; Linear Independence and Subspaces; Basis; Linear Transformation; Inner Product and Orthogonality; diagonalization; Hermitian and Symmetric matrices; Singular value ...

Advanced probability
(University of South Africa – UNISA, 201405)Handout for advanced probability & Exercises

Algebra for quantity surveying students
(Not available, 201404)This is the beginning of a handout suitable for motivating quantity surveying students to study algebra as RICS appears to wants them to do.

Algebra II
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules/Lectures: Introduction and Overview; Algebraic Extensions I; Algebraic Extensions II; Ruler and Compass Constructions I; Ruler and Compass Constructions II; Symmetric Polynomials I; Symmetric Polynomials II; Algebraic ...

Algebraic Curves
(University of Oxford, 201404)A real algebraic curve is a subset of the plane defined by a polynomial equation $ p(x,y)=0 $. The intersection properties of a pair of curves are much better behaved if we extend this picture in two ways: the first is to ...

Algebraic Topology
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules/Lectures: Introduction; general topology; fundamental groups and its basic properties; Theory Covering Spaces; Seifert Van kampen Theorem & its application; Basic Homology Theory; Relative homology,exicism and the ...

Algorithms
(Wikibooks, 201403)his book aims to be an accessible introduction into the design and analysis of efficient algorithms. Throughout the book we will introduce only the most basic techniques and describe the rigorous mathematical methods needed ...

Analysing Skid Marks
(The Open University (OUUK), 2011)This unit is the second in the series of five units on mathematical modelling. In this unit you are asked to relate the stages of the mathematical modelling process to a previously formulated mathematical model. This ...

Analysis 1
(African Virtual University (AVU), 201304)Unit 1  Analysis on the real line: Unit 2 – Vector Analysis Unit 3 – Complex Analysis

Analysis 2
(African Virtual University (AVU), 201304)Unit 4 – Real Analysis Unit 5 – Topology Unit 6/7 – Measure Theory

Analysis of Variance and Design of Experiment I
(National Programme on Technology Enhanced Learning (NPTEL), 201308)Modules / Lectures: Analysis of Variance and Design of ExperimentsI; Some Results on Linear Algebra, Matrix Theory and Distributions; General Linear Hypothesis and Analysis of Variance; Experimental ...

Analysis of Variance and Design of Experiment II
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules / Lectures : Incomplete block designs ; Balanced incomplete block design (BIBD) ; Partially balanced incomplete block design (PBIBD); Partial confounding ; Fractional replications ; Split plot and Strip plot design ...

Anatomy of a Shiny App
(Swinburne Commons, 2015)This video examines a Shiny web application of an R cluster analysis. It looks at the user interface (ui.R) and server (server.R) code that was used to produce the application. Video originally created for STA80006 Using ...

Applied Mathematics  Dynamics
(University of Cape Town, 2010)These resources are a selection of audio and video podcasts from a first year Dynamics class (MAM1044H) at the University of Cape Town. The lectures cover a wide range of topics: Systematic introduction to the elements ...

Applied Multivariate Analysis
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules / Lectures : Basic concepts of multivariate distributions ; multivariate normal distributions ; Some problems on multivariate distributions; Random sampling from multivariate normal distribution and Wishart ...

Babylonian mathematics
(The Open University (OUUK), 201307)This unit looks at Babylonian mathematics. You will learn how a series of discoveries have enabled historians to decipher stone tablets and study the various techniques the Babylonians used for problemsolving and teaching. ...