Tom Rocks Maths Courses

Amazing Pi Formula - Prime Numbers and Multiples of 4

Explore a fascinating pi formula involving prime numbers and multiples of 4. Learn step-by-step proofs, from geometric series to the Leibniz Formula, culminating in a remarkable relationship between pi and primes.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Prime Reciprocal Series - Oxford Maths Interview Question

Explore the divergence of prime reciprocal sums using advanced mathematical concepts in this Oxford University admissions interview question, featuring collaboration between mathematicians.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Potential Flow and Method of Images with 3Blue1Brown

Explore 2D incompressible fluid dynamics with Grant Sanderson, covering potential flow, common flow fields, and the method of images for various scenarios like sources near walls and in channels.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Koch Snowflake Fractal - Area and Perimeter Calculation

Explore the fascinating Koch Snowflake fractal, calculating its infinite perimeter and constant area. Suitable for ages 14+, with step-by-step construction instructions and in-depth mathematical analysis.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Oxford Mathematician Explains SIR Travelling Wave Disease Model for COVID-19

Explore the SIR Travelling Wave model for disease spread, focusing on COVID-19. Learn how population movement affects epidemic dynamics, including spread speed and severity, and the importance of social distancing measures.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Oxford Mathematician Explains SIR Disease Model for COVID-19

Explore the SIR disease model's application to COVID-19, covering its derivation, spread prediction, peak infection, and total cases. Learn how social distancing impacts these factors.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Oxford Linear Algebra - Inner Product Space

Explore inner product spaces, bilinear forms, and orthonormal sets in linear algebra. Learn key concepts and proofs with practical examples and exercises to enhance understanding.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Oxford Linear Algebra - Rank Nullity Theorem

Comprehensive exploration of rank and nullity concepts, including definitions, examples, and a step-by-step proof of the Rank Nullity Theorem in linear algebra.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Oxford Linear Algebra - Linear Transformations Explained

Explore linear transformations with Oxford mathematician Dr Tom Crawford, covering definitions, properties, and examples in R3, including matrix multiplication and differentiation.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Building the Multiverse Library

Explore complex mathematics behind the Multiverse Library, focusing on branch cuts and multifunctions. Learn about holomorphic branches of complex logarithms and square root functions in this engaging mathematical journey.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Oxford Linear Algebra - Direct Sum of Vector Spaces

Comprehensive explanation of direct sum of vector spaces with worked examples. Learn formal definitions, alternative representations, and how to verify direct sums through intersection and spanning checks.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Oxford Linear Algebra - Dimension Formula for Vector Spaces

Explore the dimension formula for vector spaces through worked examples and a complete proof. Learn to calculate dimensions of subspaces and their intersections in R^4.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Oxford Linear Algebra - Basis, Spanning and Linear Independence

Explore key concepts in linear algebra: basis, spanning, and linear independence. Learn through intuitive examples and formal definitions, with worked problems in vector spaces and Cartesian planes.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Oxford Calculus - Gradient and Divergence Explained

Comprehensive explanation of gradient vector and divergence in multivariable calculus, including formal definitions, visualizations, examples, and connections to other concepts. Includes free worksheet and app recommendations.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Oxford Calculus - Fourier Series Derivation

Comprehensive derivation of Fourier Series coefficients, covering orthogonality relations, integration techniques, and uniform convergence. Includes practical examples and a free worksheet for hands-on practice.

• YouTube
• 41 minutes
• On-Demand
• Free Video