University of Oxford Courses

Analysis III: Basic Properties of Riemann Integration - Lecture 1

Explore fundamental properties of Riemann integration, including integral additivity, through rigorous proofs. Gain a solid foundation in mathematical analysis.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Plants and Mathematics - How Science Collaborates Through Botanical Research

Discover how mathematics and botany intersect in understanding the world's largest, smelliest flower through groundbreaking scientific collaboration and research methods.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Introduction to Complex Numbers - Lecture 1

Master the fundamentals of complex numbers through a comprehensive recap of essential concepts, preparing for advanced mathematical studies with clear explanations and practical examples.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

How to Put Uncertainty into Numbers - Understanding Chance, Luck and Ignorance

Explore how probability theory helps quantify uncertainty, chance, and luck in everyday life through practical examples and mathematical insights from a leading expert in risk understanding.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1

Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Mathematical Modelling in Biology - Infectious Disease Modelling - Lecture 3

Explore infectious disease spread using the Kermack McKendrick model, deriving the 'R' number and its significance in epidemiology. Gain insights into mathematical biology applications.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Mathematical Modelling in Biology - Neuronal Signalling

Explore Nobel Prize-winning neuronal signalling models, including Hodgkin-Huxley and Fitzhugh-Nagumo, to understand how neurons generate and propagate electrical signals vital for bodily communication.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Mathematical Modelling in Biology - Enzyme Kinetics and Perturbation Theory - Lecture 2

Explore enzyme-substrate reactions using separation of timescales and perturbation analysis to derive solutions and simplify complex biological systems.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

The Potential for AI in Science and Mathematics

Renowned mathematician Terry Tao explores AI's potential in advancing scientific and mathematical research, followed by a discussion with Po-Shen Loh on the future of AI in academia.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

The Counting Project - How Data Built the Modern World

Explore how data shaped our world and its potential to create a better future with economist Tim Harford in this insightful inaugural lecture honoring Vicky Neale's contributions to mathematics education.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Linear Diophantine Equations and the Extended Euclidean Algorithm - Lecture 1

Explore linear Diophantine equations and the extended Euclidean algorithm, learning how to find integer solutions using quotients from the Euclidean algorithm in this undergraduate mathematics lecture.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

From Ronald Ross to ChatGPT: The Birth and Strange Life of the Random Walk

Explore the fascinating history of random walks in mathematics, from mosquito control to AI, and their impact on various fields including physics, finance, and theology.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Information Theory: Huffman and Arithmetic Codes - Lecture 7

Explore Huffman's optimal code construction and the practical advantages of Arithmetic codes in this information theory lecture from Oxford's 3rd year mathematics course.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Mathematical Biology: Pattern Formation in Biology - Lecture 2

Delve into reaction-diffusion models for biological pattern formation, exploring Turing's pioneering work on morphogen interactions, analysis techniques, and pattern emergence conditions across various domains.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Lie Groups - Introduction to Lie Groups

Discover Lie Groups through examples in this Oxford undergraduate lecture, exploring their applications in analysis, geometry, and physics from foundational concepts.

• YouTube
• 50 minutes
• Self-Paced
• Free Video