1460 Mathematics Video Lessons

Strengthen your math skills with our comprehensive Mathematics video lessons, covering essential topics such as algebra, geometry, calculus, statistics, and more. Whether you’re a student preparing for exams, a teacher looking for resources, or someone aiming to improve their problem-solving abilities, our tutorials break down complex mathematical concepts into easy-to-follow steps. With lessons tailored to all learning levels, you can confidently explore everything from basic arithmetic to advanced mathematics. Start mastering math today with our engaging and clear video tutorials!

Arc length, degrees & radians tutorial with example

In this lesson, we learned how to calculate the length of an arc in a circle using two methods: one for angles in degrees and another for angles in radians. The formula for degrees involves taking the ratio of the angle to 360° and multiplying it by the circle’s circumference, while the formula for radians is simply the angle multiplied by the radius. With practice, these calculations can become straightforward and intuitive!

Calculate the Area of a circle from Radius or Diameter

In this lesson, you learned how to calculate the area of a circle using either the radius or the diameter. By applying the formulas Area = π × radius² or Area = (π × diameter²) / 4, you can easily find the area of a circle, with both methods yielding the same result. With practice, you’ll become proficient in determining the area of circles quickly and accurately.

How to calculate the circumference of a circle

In this lesson, we learned how to calculate the circumference of a circle using the formula \( C = 2\pi r \), where \( r \) is the radius. We also discussed how to find the radius from the diameter and emphasized the importance of double-checking calculations for accuracy. Additionally, we highlighted the fascinating fact that the ratio of the circumference to the diameter is always equal to pi (π), regardless of the circle’s size.

Why is it called a SQUARE root?

The lesson explains the concepts of squaring and square roots, highlighting that squaring a number involves multiplying it by itself, which visually forms a square. It clarifies that the square root of a number represents the length of one side of a square with a given area, and discusses perfect squares, the existence of both positive and negative roots, and the limitations regarding negative numbers. Additionally, it touches on the terminology’s origins, noting that “root” comes from the Latin word “radix,” linking it to the broader context of mathematical operations like cubing and cube roots.

The Map of Mathematics

The lesson “The Map of Mathematics” delves into the expansive nature of mathematics, tracing its origins from basic counting to its development across various cultures and eras. It distinguishes between pure mathematics, which explores abstract concepts, and applied mathematics, which addresses real-world problems, while highlighting their interconnections. The lesson also touches on the foundations of mathematics, questioning its underlying principles and the nature of its axioms, ultimately celebrating the complexity and beauty of the mathematical world.

How to Read Math

The lesson “How to Read Math” emphasizes that mathematical equations can be understood as a language describing relationships between variables and constants. It covers key concepts such as identifying variables, visualizing equations through graphs, solving for unknowns, and following the order of operations. Additionally, it introduces advanced operations like summation and integration, providing tips to enhance comprehension and encourage further exploration of mathematics.

If You Don’t Understand Quantum Physics, Try This!

This lesson demystifies quantum physics, highlighting its significance in understanding the universe and its technological applications. Key concepts such as particle-wave duality, superposition, entanglement, and the Heisenberg uncertainty principle illustrate the unique behaviors of subatomic particles, emphasizing the probabilistic nature of this field. Ultimately, the lesson encourages further exploration of quantum physics, suggesting that while it may seem complex, its foundational principles can be grasped and appreciated.

Find the Volume of Any Shape Using Calculus

In this lesson, we explore how to calculate the volume of various shapes, specifically focusing on cones, using calculus. By approximating the cone’s volume through the summation of infinitely thin disks and applying integration, we derive the formula for the volume of a cone as \( V = \frac{1}{3} \pi R^2 H \). This method can also be extended to other shapes, demonstrating the power of calculus in deriving mathematical formulas rather than relying on memorization.

The Schrödinger Equation Explained in 60 Seconds

The Schrödinger Equation is fundamental to quantum physics, providing a mathematical framework to describe the wave-like behavior of particles, particularly electrons, at a microscopic level. It allows for the prediction of quantum behavior by determining the wavefunction that governs the system’s energy dynamics, incorporating both kinetic and potential energies. This equation not only challenges classical intuitions but also underpins key quantum phenomena such as superposition and entanglement, with significant implications for fields like quantum computing and cryptography.

The Quantum Wavefunction Explained

The lesson on “The Quantum Wavefunction Explained” delves into the nature of quantum wave functions, which describe the behavior of particles in quantum mechanics through the Schrödinger equation. Unlike physical waves, quantum wave functions represent probability amplitudes rather than measurable entities, allowing us to calculate the likelihood of finding a particle in a given state. The lesson also highlights key concepts such as the conditions wave functions must satisfy, the principle of superposition, and the relationship between wave functions and other physical quantities like momentum and energy.