1.10 Further exercises

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

1.8 Intersection of two planes

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

1.7 Planes in three-dimensional Euclidean space

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

1.6 Points, planes, lines and distances in three-dimensional Euclidean space

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

1.2 Lines

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

1.1 Points, lines and distances in two-dimensional Euclidean space

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

Introduction

Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this unit we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics.

7 Unit summary

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

6 Appendix: a note on displacement current density

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

5.2 The energy of electromagnetic waves

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

4 Maxwell's equations

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

3.3 The Ampère–Maxwell law in action

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

3.2 Generalising Ampère's law

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

3.1 Limitations of Ampère's law

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

2 The equation of continuity

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

1 Maxwell's greatest triumph

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

Introduction

James Clerk Maxwell (1831-1879) is arguably the father of electromagnetism, and unarguably one of the greatest physicists ever. Einstein called Maxwell's equations 'the most important event in physics since Newton's time, not only because of their wealth of content, but also because they form a pattern for a new type of law'. This unit will examine Maxwell's greatest triumph, the prediction that electromagnetic waves can propagate vast distances through empty space and the realisation that light

1 Poverty in Scotland

The facts and figures on poverty often donâ€™t provide a meaningful picture of the situation. This unit demonstrates the true impact of poverty on the people and places in Scotland through a series of essays that combine the statistics with stories of people who work in the field and those who live in poverty.

Introduction

The facts and figures on poverty often donâ€™t provide a meaningful picture of the situation. This unit demonstrates the true impact of poverty on the people and places in Scotland through a series of essays that combine the statistics with stories of people who work in the field and those who live in poverty.

1.3.2 Angles on a line

Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.