2.5 Defining surfaces
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
2.4 Homeomorphic surfaces
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
2.2 Surfaces in space
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
Introduction
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this unit, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the Classification Theorum.
3.2 Day 1 Timetable
Scientists throughout the world are increasingly interested in the relationship between science and society. Part of their concern is with the social responsibilities scientists have in relation to broader public interests. That raises important issues to do with the ethical and social dimension of scientists' work and how scientists explain – and perhaps justify – their work to the wider public.
1 Introduction to the course
Scientists throughout the world are increasingly interested in the relationship between science and society. Part of their concern is with the social responsibilities scientists have in relation to broader public interests. That raises important issues to do with the ethical and social dimension of scientists' work and how scientists explain – and perhaps justify – their work to the wider public.
Introduction
Atoms, elements and molecules are the building blocks of everything that makes up our world, including ourselves. In this unit you will learn the basic chemistry of how these components work together, starting with a chemical compound we are all very familiar with – water.
The 18th Schrödinger Lecture - Quantum Entanglement: Weird, but Useful
Professor Knight explains how quantum entanglement has divided scientists and transformed our understanding of the natural world.
The GE Healthcare Lecture - Are we Predisposed to being Overweight
Three world renowned obesity researchers debate the causes of obesity.
6 Energy in a sustainable future
The search for sustainable energy will dominate the twenty-first century. This unit provides an introductory overview of the present energy systems and takes a brief look at where the world may find energy in the future – cleaner use of fossil fuels or renewable energy sources?
4 Renewable energy sources
The search for sustainable energy will dominate the twenty-first century. This unit provides an introductory overview of the present energy systems and takes a brief look at where the world may find energy in the future – cleaner use of fossil fuels or renewable energy sources?
5.4 The scanning tunnelling microscope
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
5.3 Stellar astrophysics
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
5.2 Alpha decay
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
5.1 Overview
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
4.4 Stationary states and tunnelling in one dimension
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
4.3 Stationary states and barrier penetration
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
4.2 Wave packets and tunnelling in one dimension
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
4.1 Overview
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
3.6 Scattering in three dimensions
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Examples and applications of both these fascinating concepts are investigated in this unit.
