Tom Rocks Maths Courses

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

Oxford Calculus - Taylor's Theorem Explained with Examples and Derivation

Comprehensive explanation of Taylor's Theorem, including derivation and practical examples. Covers polynomial approximation of functions, Cauchy's Mean Value Theorem, and power series expansion, with interactive exercises and additional resources.

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

Oxford Linear Algebra - How to Find a Matrix Inverse Using Elementary Row Operations

Learn to calculate matrix inverses using Elementary Row Operations (ERO's) with clear explanations and worked examples for 2x2 and 4x4 matrices, including the case of non-invertible matrices.

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

Linear Algebra - Elementary Row Operations Explained

Comprehensive tutorial on solving linear equations using matrices and elementary row operations, with worked examples and practice resources for self-study.

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

AMC 12 Cube Colouring Question

Explore a challenging cube coloring problem and learn how to solve it using mathematical reasoning and combinatorial analysis.

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

Oxford Calculus - Solving Homogeneous First Order Differential Equations

Learn to solve homogeneous first order differential equations with Oxford mathematician Dr Tom Crawford. Includes worked examples, partial fractions, implicit differentiation, and practice exercises.

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

Quadratic Formula Derivation and Application to Penalty Kicks and Archery

Derive the quadratic formula and apply it to real-world scenarios in football and archery. Learn 'completing the square' method and solve problems in penalty kicks and projectile motion.

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

Oxford Calculus - Integrating Factors Explained

Learn to solve first order linear differential equations using integrating factors. Understand the technique's derivation, application, and practice with a provided worksheet and example problems.

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

Oxford Calculus - Classifying 2D Critical Points Using the Discriminant

Learn to classify 2D critical points using the discriminant method. Explore maximum, minimum, and saddle points with visualizations and step-by-step derivations for multivariable functions.

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

Mandelbulbs - The Search for a 3D Mandelbrot Fractal

Explore the fascinating world of 3D fractals, from natural examples to complex mathematical constructs like Mandelbulbs, with insights into fractal dimensions and generation techniques.

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

Interview with Noga Alon - Mathematician with 600 Publications

Interview with mathematician Noga Alon discussing his prolific career, interdisciplinary research, and notable contributions to mathematics, including necklace splitting and applications of the Borsuk-Ulam Theorem.

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

Oxford University Mathematics Admissions Interview Questions - Part 2

Experience an Oxford University mathematics admissions interview as Dr Tom Crawford tackles challenging questions, offering insights into the interview process and problem-solving techniques.

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

The Maths of Ancient Egypt - Numbers, Calendar and Geometry

Explore Ancient Egyptian mathematics: number systems, calendars, and architectural geometry. Discover hieroglyphs, binary multiplication, and surprising pyramid volume calculations in this on-location journey through Egypt's mathematical heritage.

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

Oxford University Mathematician Takes American AP Calculus BC Exam

Oxford mathematician tackles AP Calculus BC exam unprepared, demonstrating problem-solving skills and providing insights into advanced calculus concepts for high school and college-level students.

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

Introduction to Computer Science with CS50 - The Most Popular Course on edX

Learn the basics of Computer Science from Harvard's Prof. David Malan in this engaging 39-minute video. Discover key concepts and gain insights into the world's most popular edX course.

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