Insights into Mathematics Courses

Algebraic Calculus One - Free Trial Course May 2020

Exciting new approach to Calculus starting May 1, 2020. Join talented students to raise mathematical understanding with this innovative online course, revolutionizing a fundamental subject.

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

Plimpton 322 and Old Babylonian Trigonometry - History of Mathematics 34

Explore ancient Babylonian mathematics through Plimpton 322, a unique trigonometric table. Discover how this artifact reveals advanced mathematical knowledge and its significance in the history of trigonometry.

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

Inference Rules via the Algebra of Boole - MathFoundations 275

Explore propositional logic inference rules using Boolean algebra, simplifying complex logical concepts and eliminating the need for memorization. Includes application to a Lewis Carroll puzzle.

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

Arithmetic with Monopoly Money - Elementary Mathematics Explained - Lecture 33

Explore how Monopoly enhances arithmetic skills through open numbers and money calculations. Learn practical classroom applications and innovative teaching methods for elementary mathematics.

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

Partial Orders, Maxels, and Möbius Functions in Posets

Explores partial orders, maxels, and Möbius functions in advanced mathematics, connecting Boolean algebra to circuit analysis and introducing novel notation for negative numbers.

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

How the Algebra of Boole Simplifies Circuit Analysis - Part 3

Explore Boolean algebra's role in simplifying circuit analysis, covering logic gates, algebraic expressions, and symmetry considerations for efficient circuit equivalence determination.

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

Competition, Government, and Challenges for Little Cactus Bank - Wild West Banking

Explore the evolution of Wild West banking through the Little Cactus Bank's history, covering shareholders, risk analysis, competition, and government supervision in the lead-up to the 1873 Panic.

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

Puzzles with Measurement - Elementary Mathematics Explained - Lecture 25

Explore engaging measurement puzzles using weights and balances, enhancing problem-solving skills and introducing key mathematical concepts in a fun, interactive way.

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

A Mathematician's View of Banking - Wild West Banking

A mathematician's perspective on 19th-century banking, exploring fundamental concepts like assets, liabilities, and balance sheets through the fictional Little Cactus Bank in the Wild West.

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

Extending Archimedes' Parabolic Area Formula to Cubics - Algebraic Calculus

Extending Archimedes' parabolic area formula to cubics using Algebraic Calculus and projective geometry. Explores unique aspects of cubic functions and their areas without relying on infinite processes.

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

The Manio Conception Triangle - Ancient Mathematics and Fertility Alignments

Explore ancient 3-4-5 triangles at Carnac, linking astronomy, geometry, and fertility. Discover Howard Crowhurst's insights into Neolithic thinking and the significance of these early mathematical structures.

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

The Algebra of Boole and Boolean Algebra - Key Differences - Part 1

Introduction to the Algebra of Boole, focusing on the bifield of two elements and n-tuples. Explores its role in circuit analysis and contrasts it with Boolean algebra, highlighting implications for 20th-century mathematics.

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

A Brief History of Logic: From Leibniz to Boole - Math Foundations 254

Explore the evolution of logic from Leibniz to Boole, covering key thinkers and innovations in systematic reasoning, diagram representations, and the introduction of mathematics to classical logic.

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

A Brief History of Logic: Aristotle and Deduction - Math Foundations 251

Explore Aristotle's foundational work in logic, including syllogisms, logical forms, and deductive reasoning, tracing its development from ancient Greece to its lasting impact on modern philosophy.

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

Half-Slope and the Full Group of Euclidean Isometries - WildTrig: Intro to Rational Trigonometry

Explore half-slopes in planar reflections and rotations, circle sums, and translations to understand Euclidean isometries. Gain insights into rational trigonometry and algebraic approaches to geometry.

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