Browsing Mathematics by Issue Date
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Beyond Infinity
(University of Nottingham, 2007)This popular maths talk gives an introduction to various different kinds of infinity, both countable and uncountable. These concepts are illustrated in a somewhat informal way using the notion of Hilbert's infinite hotel. ...

Introduction to Compact Operators
(University of Nottingham, 200710)The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. This includes definitions and statements of the background and main results, with illustrative examples and some proofs.

Functional Analysis
(University of Nottingham, 2008)Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite ...

Why do We do Proofs?
(University of Nottingham, 2008)The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to ...

Math Support for Calculus
(Athabasca University (AU), 2009)Although the modules are sequenced to progress from less to more complex topics you are not required to work through these modules and learning activities in the order given. You can plot your own course through these ...

Regularity Conditions for Banach Function Algebras
(University of Nottingham, 200906)In June 2009 the Operator Algebras and Applications International Summer School was held in Lisbon. Dr Joel Feinstein taught one of the four courses available on Regularity conditions for Banach function algebras. He ...

Mathematical Analysis
(University of Nottingham, 2010)This module introduces mathematical analysis building upon the experience of limits of sequences and properties of real numbers and on calculus. It includes limits and continuity of functions between Euclidean spaces, ...

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 ...

Probability and Statistics
(African Virtual University (AVU), 2010)This module consists of three units: Unit 1: Descriptive Statistics and Probability Distributions Descriptive statistics in unit one is developed either as an extension of secondary mathematics or as an introduction ...

Numerical Methods and Computation
(National Programme on Technology Enhanced Learning (NPTEL), 2010)41 Lectures in this course: 1  Errors in Computation and Numerical Instability (48:57) 2  Solution of Nonlinear Algebraic Equations  Part1 (53:10) 3  Solution of Nonlinear Algebraic Equations  Part2 (49:01) 4  ...

Calculus
(African Virtual University (AVU), 2010)This is a four unit module. The first two units cover the basic concepts of the differential and integral calcualus of functions of a single variable. The third unit is devoted to sequences of real numbers and infinite ...

Differential Equations
(African Virtual University (AVU), 2010)his module consisst of two units, namely Introduction to Ordinary differential equations and higher order differential equations respectively. In unit one both homogeneous and nonhomogeneous ordinary differential equations ...

Geometry
(African Virtual University (AVU), 2010)The Module on Geometry starts by looking at the historical development of knowledge that the humankind gather along centuries and became later, about 300 BC, the mathematical subject called “Euclidian Geometry” because of ...

Linear Programming
(African Virtual University (AVU), 2010)This module introduces the learner to a particular mathematical approach to analysing real life activity that focuses on making specific decisions in constrained situations. The approach, called linear programming, is ...

Linear Algebra
(African Virtual University (AVU), 2010)The general layout of content in the units proceeds, wherever possible from the concrete representation of the concepts to their abstract forms. Unit 1 begins with a treatment of systems of linear equations and their ...

Number theory
(African Virtual University (AVU), 2010)The number theory module consists of two units. It presupposes the teacher trainee is conversant with Basic mathematics. The first unit deals with properties of integers and linear diophantine equations. It progresses ...

Numerical Methods
(African Virtual University (AVU), 2010)First Learning Activity: Types and Causes of Errors The first learning activity aims at making the learner appreciate the need for numerical methods. It is also felt that this is the right moment to define the concept ...

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 ...

Tensors and Relativity Course
(University of Cape Town, 2010)General Physics 1. Mathematical Tools 2. Linear Algebra and Tensors Relativity 1. General Relativity 2. Mathematics 3. Tensors 4. Special Relativity

Basic Mathematics
(African Virtual University (AVU), 2010)This module consists of three units which are as follows: Unit 1: (i) Sets and Functions (ii) Composite Functions This unit starts with the concept of a set. It then intoroduces logic which gives the learner techniques ...