Mathematics Courses and Certifications

Fields Institute

Communication at the Forefront of Teaching and Learning Mathematics - Margaret Sinclair Award Lecture

Discover how intentional communication transforms mathematical learning environments and fosters deeper student engagement in this award lecture.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Simons Foundation

Mathematics of Cryo-Electron Microscopy

Explore mathematical principles and computational methods for cryo-EM reconstruction, focusing on small molecules and flexible structures in structural biology.

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

Isaac Newton Institute for Mathematical Sciences

Topological Quantum Field Theory - From Physics to Mathematics and Back

Explore the fascinating bridge between physics and mathematics through topological quantum field theory in this public lecture by Professor Ilka Brunner.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Harvard CMSA

How to Think About the Shape of Mathematics

Explore mathematical structures through geometric perspectives and discover how spatial thinking transforms abstract mathematical concepts into intuitive frameworks.

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

AWS Events

Introducing Nitro Isolation Engine - Transparency through Mathematics

Discover how AWS engineers designed Nitro Isolation Engine using formal verification to provide mathematical certainty for cloud security and workload isolation.

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

AWS Events

Introducing Nitro Isolation Engine - Transparency through Mathematics

Discover how AWS Nitro Isolation Engine uses formal verification to provide mathematical proof of workload isolation and zero operator access in cloud computing.

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

Centre International de Rencontres Mathématiques

Mathematical, Historical and Philosophical Perspectives on Problem Solving in Mathematics

Explore what makes mathematical problems compelling through concrete examples, examining shared ingredients from mathematical, historical, and philosophical viewpoints.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Change and Motion: Calculus Made Clear, 2nd Edition

121 ratings at The Great Courses Plus

<p>Conquer calculus-one of the most powerful and useful of all mathematical skills-with this simple and brilliant guide taught by an award-winning mathematician.</p>

• The Great Courses Plus
• 12 hours 27 minutes
• Self-Paced
• Free Trial Available

Learn about calculus, including how to analyze functions using limits and derivatives.

• Codecademy
• 1 hour
• Self-Paced
• Free Trial Available

Introduction to complex analysis

4 ratings at OpenLearn

This free course, Introduction to complex analysis, is an extract from the third level Open University course M337 Complex Analysis, which develops the theory of functions of a complex variable, ...

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

Understanding Calculus: Problems, Solutions and Tips

111 ratings at The Great Courses Plus

Succeed at calculus-the most feared of all math subjects-with this thorough and easy-to-follow guide taught by an award-winning math educator.

• The Great Courses Plus
• 18 hours 31 minutes
• Self-Paced
• Free Trial Available

IIT Kharagpur;  NPTEL

Introduction to Abstract and Linear Algebra

1 rating

Comprehensive introduction to abstract and linear algebra, covering set theory, group theory, rings, fields, matrices, vector spaces, and linear transformations for science and engineering students.

• Swayam
• 8 weeks
• Available until Sep 11, 2026
• Free Online Course

Kerala School of Mathematics;  NPTEL

Complex Analysis

1 rating

Explore holomorphic functions, Cauchy's theorem, residues, and singularities in this comprehensive study of complex analysis, suitable for advanced undergraduates and graduate students.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

IIT Madras;  NPTEL

Differential equations for engineers

1 rating

Comprehensive exploration of differential equations and their applications in engineering, covering ODEs, PDEs, and solution methods for various physical phenomena.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

Calculus 2 - Full College Course

1 rating

Comprehensive exploration of advanced calculus topics, including integration techniques, series, parametric equations, and polar coordinates, enhancing problem-solving skills in mathematics.

• freeCodeCamp
• 7 hours
• Self-Paced
• Free Video