Mathematics Courses and Certifications

The Organic Chemistry Tutor

Gaussian Elimination & Row Echelon Form

Learn Gaussian elimination to solve 3x3 linear equation systems using matrix operations. Convert to augmented matrices, apply row operations, and use back substitution to find solutions.

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

Khan Academy

Linear Combinations and Span - Vectors and Spaces - Linear Algebra - Khan Academy

Explore linear combinations and spans of vectors in this Khan Academy video, enhancing your understanding of fundamental linear algebra concepts and their applications.

• YouTube
• 21 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

TED

Math Is the Hidden Secret to Understanding the World

Discover how mathematics unveils patterns and formulas as gateways to empathy and understanding, revealing the hidden secrets of our world through a change in perspective.

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

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

Faster Than a Calculator

Discover the art of lightning-fast mental math with "Mathemagician" Arthur Benjamin as he demonstrates astounding calculation tricks and shares his passion for making mathematics engaging and accessible.

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

Professor Leonard

Calculus 3 - An Introduction to Vectors

Discover vector operations, including addition, subtraction, position vectors, unit vectors, and magnitude. Gain a solid foundation in vector mathematics for advanced calculus applications.

• YouTube
• 2 hours 38 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Convergence and Divergence of Sequences

Explore convergence and divergence of sequences in this comprehensive lecture, covering key concepts and techniques for analyzing infinite series in calculus.

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

Professor Leonard

Calculus 2 - The Natural Log Function

Explore the natural logarithm function, its properties, and applications in calculus. Gain a deep understanding of this fundamental concept for advanced mathematical analysis.

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

Professor Leonard

Calculus 1 - Properties of Limits - Techniques of Limit Computation

Explore properties of limits and master techniques for limit computation in this comprehensive lecture on fundamental calculus concepts.

• YouTube
• 3 hours
• 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

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

World Science Festival

The Limits of Understanding

Explore the implications of Gödel's incompleteness theorems on mathematics, philosophy, and artificial intelligence with experts in a thought-provoking discussion on the limits of human understanding.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Conference Talk