Courses from 1000+ universities
A human analysis of financial documents reveals what AI content farms missed: Duolingo’s GenAI features are undermining its own profit margins.
600 Free Google Certifications
Artificial Intelligence
Information Technology
Computer Networking
Introduction to Cyber Security
Competencias para buscar, mantener y promocionar en un empleo
Mining Massive Datasets
Organize and share your learning with Class Central Lists.
View our Lists Showcase
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.
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.
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.
Comprehensive tutorial on solving linear equations using matrices and elementary row operations, with worked examples and practice resources for self-study.
Explore a challenging cube coloring problem and learn how to solve it using mathematical reasoning and combinatorial analysis.
Learn to solve homogeneous first order differential equations with Oxford mathematician Dr Tom Crawford. Includes worked examples, partial fractions, implicit differentiation, and practice exercises.
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.
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.
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.
Explore the fascinating world of 3D fractals, from natural examples to complex mathematical constructs like Mandelbulbs, with insights into fractal dimensions and generation techniques.
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.
Experience an Oxford University mathematics admissions interview as Dr Tom Crawford tackles challenging questions, offering insights into the interview process and problem-solving techniques.
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.
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.
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.
Get personalized course recommendations, track subjects and courses with reminders, and more.