Geometry & Topology Courses and Certifications

3Blue1Brown

Visualizing Quaternions - 4D Numbers With Stereographic Projection

Explore 4D quaternions through stereographic projection, visualizing complex mathematical concepts in 3D space and understanding their geometric implications.

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

Professor Leonard

Calculus 1 - Lines, Angle of Inclination, and the Distance Formula

Explore fundamental concepts of lines, inclination angles, and distance calculations in this comprehensive lecture, laying the groundwork for advanced calculus topics.

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

3Blue1Brown

Thinking Outside the 10-Dimensional Box - Visualizing High-Dimensional Spheres

Explore high-dimensional spheres and a surprising puzzle through captivating visualizations, expanding your understanding of complex mathematical concepts.

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

The Royal Institution

Four Dimensional Maths - Things to See and Hear in the Fourth Dimension

Explore four-dimensional shapes in a 3D world through hands-on demonstrations, including knitted hats and Mobius strips. Learn to visualize the fourth dimension with entertaining mathematical tricks and explanations.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Conference Talk

Insights into Mathematics

Arithmetic and Geometry Math Foundations

Explore fundamental mathematical concepts from arithmetic and geometry to abstract algebra, challenging conventional approaches with rational number systems and innovative geometric frameworks.

• YouTube
• 4 days 1 hour 49 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Arithmetic and Geometry - Math Foundations

Explore fundamental mathematical concepts from basic arithmetic through advanced geometry, covering number systems, fractions, Euclidean geometry, algebra, polynomials, and calculus foundations.

• YouTube
• 18 hours 52 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Algebraic Topology

Explore topological spaces, surfaces, knots, and fundamental groups through geometric intuition and algebraic methods in this comprehensive mathematical journey.

• YouTube
• 1 day 5 hours 1 minute
• Self-Paced
• Free Video

Eddie Woo

Further Proof by Mathematical Induction

Master advanced mathematical induction techniques through factorial identities, Fibonacci sequences, inequality proofs, divisibility, geometry, and recursive formulas with comprehensive examples.

• YouTube
• 7 hours 5 minutes
• Self-Paced
• Free Video

eHowEducation

Physics and Math Fundamentals - Complete Tutorial Collection

Master fundamental physics and math concepts through practical problem-solving techniques covering projectile motion, geometry, thermodynamics, statistics, and quantum basics.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Math with Mr. J

GED Math - Complete Preparation Course

Master essential math skills for GED success through comprehensive lessons on integers, fractions, decimals, geometry, algebra, and data analysis with step-by-step guidance.

• YouTube
• 1 day 11 hours 3 minutes
• Self-Paced
• Free Video

Math with Mr. J

GED Math Review - Complete Preparation Course

Master essential math skills for GED success through comprehensive coverage of arithmetic, fractions, decimals, geometry, algebra, and data analysis with step-by-step guidance.

• YouTube
• 1 day 13 hours 6 minutes
• Self-Paced
• Free Video

Succeed with maths: part 2

18 ratings at OpenLearn

This free course, Succeed with maths: part 2, is a sequel to Part 1, in which you will continue to develop your mathematical knowledge and skills using everyday examples. The course takes a look at...

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

The Ultimate Origami Course - Beginner to Advanced

433 ratings at Udemy

Learn the basics then advance your skills as you learn to fold 100 origami designs

• Udemy
• 13 hours 6 minutes
• Self-Paced
• Paid Course

Surfaces

4 ratings at OpenLearn

Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this free course, you will learn to classify surfaces and will be introduced to such ...

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

Everyday maths 1 (Wales)

4 ratings at OpenLearn

This free course will develop and improve your essential maths skills for work, study and everyday life. The course has four sessions, which cover the following topics: numbers, measurement, shapes...

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