Math Fundamentals Courses and Certifications

Professor Leonard

Studying Exponents and Order of Operations

Explore exponents and order of operations in mathematics, enhancing your problem-solving skills and laying a strong foundation for advanced algebraic concepts.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Professor Leonard

Prealgebra - How to Do Rounding and Estimating of Whole Numbers

Learn essential techniques for rounding and estimating whole numbers, enhancing your mathematical skills and problem-solving abilities in everyday situations.

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

International Centre for Theoretical Sciences

The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

Explore Madhava's groundbreaking mathematical contributions, including calculus innovations, and his impact on Kerala's mathematical renaissance. Gain insights into his life and historical context.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video

Michael Penn

A Neat Parameterized Integral Identity

Explore a fascinating parameterized integral identity, uncovering its mathematical intricacies and applications in this engaging tutorial led by Michael Penn.

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

Michael Penn

A Gnarly Inverse Trig Integral

Explore a challenging inverse trigonometric integral, delving into advanced calculus techniques for solving complex mathematical problems.

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

Michael Penn

Solving a Calculus Problem Using Linear Algebra

Explore how linear algebra techniques can be applied to solve complex calculus problems, demonstrating the interconnectedness of mathematical disciplines.

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

Michael Penn

The Return of Big Integrals

Explore advanced integration techniques for complex mathematical problems, enhancing problem-solving skills and deepening understanding of calculus concepts.

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

Michael Penn

Discrete Calculus - My Favorite Topic for a Student Seminar Talk

Explore discrete calculus through derivatives, antiderivatives, and fundamental theorems. Learn power rules, exponential functions, and Fibonacci numbers in this engaging mathematical seminar.

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

Michael Penn

Real Analysis - The Fundamental Theorem of Calculus

Comprehensive proof of both parts of the Fundamental Theorem of Calculus, demonstrating the relationship between differentiation and integration in real analysis.

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

Michael Penn

Problem Solving - Complex Number Basics

Explore essential complex number techniques for problem-solving contests, covering arithmetic operations, Euler's formula, and nth roots of unity with practical examples.

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

Michael Penn

Real Analysis - L'Hospital's Rule - Infinity-Infinity Case

Rigorous proof of L'Hospital's rule for infinity/infinity case, demonstrating its application in calculating limits of indeterminate forms in real analysis.

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

Michael Penn

A Nice Integral

Explore advanced integration techniques using Feynman's trick and Fubini's theorem to solve a challenging integral, enhancing problem-solving skills in mathematical analysis.

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

Michael Penn

A Sum Two Ways

Explore two distinct methods for calculating the closed form of an intriguing infinite series, demonstrating advanced mathematical techniques and problem-solving approaches.

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

Michael Penn

Pi Is Irrational

Explore a simple proof demonstrating pi's irrationality, delving into mathematical concepts and reasoning behind this fundamental property of the famous constant.

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

Michael Penn

An Infinite Tangent Product

Explore the evaluation of an infinite tangent product using identities and telescoping techniques, delving into advanced mathematical concepts and problem-solving strategies.

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