Mathematics


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Mathematics

Graphs I – Edexcel GCSE (1MA1): Foundation Tier

In this course, Professor Keith Ball (University of Warwick) gives an introduction to graphs, covering topics A8-A10 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Foundation Tier. In the first mini-lecture, we provide...

7 lectures

0:50:00

Prof. Keith Ball

Warwick University

Mathematics

Calculus: The Big Picture

In this course, Professor Paul Allen (Lewis & Clark College) explains the main ideas behind calculus, with the hope that we can keep this big picture in mind when learning calculus computation techniques. In the first mini-lecture, we discuss the...

4 lectures

0:43:04

Prof. Paul T. Allen

Lewis & Clark College

Mathematics

Pythagoras: The Real Story

In this course, Dr Piers Bursill-Hall (University of Cambridge) debunks the myths of Pythagoras and the Pythagorean theorem. In the first mini-lecture, we learn about the Pythagoreans, a religious cult supposedly following the teachings and...

7 lectures

1:13:58

Dr Piers Bursill-Hall

Cambridge University

Mathematics

Solving Equations I – Edexcel GCSE (1MA1): Higher Tier

In this course, Professor Keith Ball (University of Warwick) explores solving equations, covering Topics A17-A18 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Higher Tier. In the first mini-lecture, we give an introduction...

7 lectures

1:16:35

Prof. Keith Ball

Warwick University

Mathematics

Unsolved Mathematical Mysteries

In this course, Professor Satyan Devadoss (University of San Diego) explores some of the most fascinating unsolved problems in mathematics. In the first mini-lecture, we discuss reasons why we should care about cutting-edge mathematics,...

5 lectures

0:52:20

Prof. Satyan Devadoss

University of San Diego

Mathematics

What Are Numbers?

In this course, Professor Kevin Buzzard (Imperial College London) explores numbers, in particular the counting numbers and their abstract nature. In the first mini-lecture, we consider what ‘2 + 2 = 4’ really means and introduce the idea of an...

8 lectures

0:55:30

Prof. Kevin Buzzard

Imperial College London

Mathematics

Trigonometry: The Big Picture

In this course, Professor Thomas Garrity (Williams College) explores the big picture of trigonometry — specifically that of sines and cosines — in the modern world of mathematics and in our daily lives. In the first mini-lecture, we define the...

6 lectures

0:58:01

Prof. Thomas Garrity

Williams College

Mathematics

Graphs I – Edexcel GCSE (1MA1): Higher Tier

In this course, Professor Keith Ball (University of Warwick) gives an introduction to graphs, covering topics A8-A10 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Higher Tier. In the first mini-lecture, we provide...

7 lectures

0:58:28

Prof. Keith Ball

Warwick University

Mathematics

The Origins of Algebra: Hindu-Arabic Arithmetic

In this course, Dr Piers Bursill-Hall (University of Cambridge) explores the origins of algebra: Hindu-Arabic arithmetic. In the first mini-lecture, we consider types of arithmetic used by ancient peoples, including Egyptians, Mesopotamians, and...

7 lectures

1:15:52

Dr Piers Bursill-Hall

Cambridge University

Mathematics

Introduction to Tiling Theory

In this course, Professor Colin Adams (Williams College) explores tiling theory. In the first mini-lecture, we think about tilings found in everyday life and give the mathematical definition of a tiling. In the second mini-lecture, we learn how to...

5 lectures

0:52:26

Prof. Colin Adams

Williams College

Mathematics

Differentiation I

In this course, Professor Samir Siksek (University of Warwick) gives an introduction to differentiation for AS and A-Level students in the first of his three-course series on this topic. In the first mini-lecture, we recall the equation of a...

5 lectures

0:40:27

Prof. Samir Siksek

Warwick University

Mathematics

Vectors

In the course, Professor Emille Lawrence (University of San Francisco) explores vectors. In the first mini-lecture, we discuss the difference between scalars and vectors, understand what it means for a vector to have magnitude and direction, and...

5 lectures

0:51:56

Prof. Emille Lawrence

University of San Francisco

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