Browsing by Subject "abstract algebra"
Now showing items 116 of 16

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, ...

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 ...

Boolean expression
(University of South Africa – UNISA, 201405)Spreadsheet to help you test your understanding of boolean expressions

Classical Field Theory
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules / Lectures : Review of Classical Mechanics: ; Vectors and Tensors ; Basics of CFT ; Solutions to the EL equations ; Symmetries and Conservation Laws ; The massless vector field ; Secret Symmetry ; ...

Discrete Mathematics
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules / Lectures : Properties of Integers and Basic Counting ; Advanced Counting and Generating Functions ; Groups and Polya Theory ; Topics in Classical Graph Theory .

An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1Tori and Elliptic Curves
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules/Lectures: Definitions and Examples of Riemann Surfaces; Classification of Riemann Surfaces; Universal Covering Space Theory; Classifying Moebius Transformations and Deck Transformations; The Riemann Surface Structure ...

Mathematical Logic
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules / Lectures : Sets and Strings; Syntax of Propositional Logic; Unique Parsing; Semantics of PL; Consequences and Equivalences; Five results about PL; Calculations and Informal Proofs; More Informal Proofs; Normal ...

Mathematics for Economists
(University of Cape Town, 2011)This resources consists of comprehensive notes, tutorials and solutions for Honours level economics. Material covered includes linear algebra, comparative statics, optimisation, integration and differential equations and ...

Mathematics II
(National Programme on Technology Enhanced Learning (NPTEL), 2010)38 Lectures in this course: 1  Mod 1  Lec 1  Complex Integration (53:35) 2  Mod 1  Lec 2  Contour Integration (1:00:46) 3  Mod1 Lec3 Cauchy's Integral Theorem (49:43) 4  Mod1 Lec4 Cauchy`s Integral Formula ...

Number Theory
(National Programme on Technology Enhanced Learning (NPTEL), 201402)Modules / Lectures: Divisibility and Primes; Congruence; Number Theoretic Functions; Primitive Roots; Quadratic Residues; Binary Quadratic Forms; Integers of Special Forms; Continued Fractions; Riemann Zeta Function; ...

Numerical Optimization
(National Programme on Technology Enhanced Learning (NPTEL), 201401)Modules / Lectures : Introduction ; Mathematical Background ; Unconstrained Optimization ; Convex Sets ; Convex Functions ; Unconstrained Optimization ; Constrained ...

Set operations and types of numbers
(University of South Africa – UNISA, 201405)For any student needing to work on set operations and types of numbers, Students should have a sound understanding and ability to use roster, set builder and interval notation and describe their differences.

Symmetries and Groups
(Gresham College, 201403)One of the most important patterns that a mathematician looks for is whether or not an object has symmetries i.e. is left unchanged or invariant after some operation, for example reflection or rotation. A square has many ...

Symmetry
(The Open University (OUUK), 2011)We all encounter symmetry in our everyday lives, in both natural and manmade structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and ...