Mathematics Courses and Certifications

Introduction to group theory

3 ratings at OpenLearn

This free course is an introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed ...

• OpenLearn
• 16 hours
• Self-Paced
• Free Certificate

A Complete First Course in Differential Equations

530 ratings at Udemy

A University Level Introductory Course in Differential Equations

• Udemy
• 1 day 6 hours 42 minutes
• Self-Paced
• Paid Course

The Taylor Series, Complex Numbers, and Simple Harmonic Motion - Lecture 16

1 rating

Explore advanced mathematical concepts including Taylor series, complex numbers, and simple harmonic motion in this comprehensive lecture from Yale University's physics course.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Linear Algebra

In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.

• YouTube
• 1 day 16 hours
• Self-Paced
• Free Video

NPTEL;  IIT Roorkee

Multivariable Calculus

This course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.

• YouTube
• 22 hours
• Self-Paced
• Free Video

Abstract Algebra

Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Mathemaniac

What Is Jacobian - The Right Way of Thinking Derivatives and Integrals

Explore the Jacobian matrix and determinant in multivariable calculus, rethinking derivatives and integrals for a deeper understanding of changing variables in higher dimensions.

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

3Blue1Brown

But How Does Bitcoin Actually Work?

Explore the mathematical foundations of cryptocurrencies, including digital signatures, decentralization, cryptographic hash functions, and blockchain technology in this informative video.

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

Professor Leonard

Calculus 1 Lecture - An Introduction to Limits

Comprehensive introduction to limits in calculus, covering key concepts like slope, tangents, and area under curves. Ideal for beginners seeking a solid foundation in calculus fundamentals.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Mathologer

The Truth About 1+2+3+...=-1/12

Explores the controversial sum 1+2+3+...=-1/12, explaining mathematical concepts behind it, addressing misconceptions, and connecting it to the Riemann zeta function and Ramanujan's work.

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

Mathologer

Ramanujan - Making Sense of 1+2+3+... = -1/12 and Co.

Explore the mathematical paradox of infinite sums equaling unexpected values, delving into Ramanujan's work, summation rules, and connections to the Riemann Zeta function.

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

World Science Festival

Does Math Reveal Reality?

Explore the profound connection between mathematics and physical reality with leading thinkers. Delve into whether math is a human invention or an intrinsic part of the universe's fabric.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

Khan Academy

Linear Subspaces - Vectors and Spaces - Linear Algebra

Explore linear subspaces in Rn, a fundamental concept in linear algebra. Learn to visualize and understand multi-dimensional mathematical reasoning through vectors, matrices, and transformations.

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

3Blue1Brown

How to Send a Self-Correcting Message - Hamming Codes

Discover error correction codes through an engaging exploration of Hamming codes, learning how to create self-correcting messages for reliable data transmission.

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

How Learning German Taught Me the Link Between Maths and Poetry

Discover the unexpected connection between mathematics and poetry through the lens of learning German, as explored by World Slam Poetry Champion Harry Baker.

• YouTube
• 16 minutes
• Self-Paced
• Conference Talk