Change of Variables: Homogeneous Differential Equation (Example 4) In this video, we tackle another homogeneous differential equation by using a change of variables. The equation featured in this example involves higher powers, adding a bit more complexity to the process. We apply the substitution v= y/x, which transforms the equation […]
Daily Archives: January 5, 2025
This video provides practical tips for engineering students to maximize their winter break. Learn how to balance rest and productivity, strengthen your skills with personal projects, review challenging concepts, and plan for the upcoming semester. Perfect for students looking to stay ahead and recharge effectively during the break. How should […]
Brush up on your linear algebra skills with this concise review of echelon forms! This video covers Row Echelon Form (REF), Reduced Row Echelon Form (RREF), and how to identify and work with these critical matrix representations. Perfect for students looking to master these foundational concepts. Support the channel and […]
Video Lesson Lesson from Video Solve Problems That Can Be Modeled by Quadratic Equations Solve Problems That Can Be Modeled by Quadratic Equations Quadratic equations are powerful tools for solving real-world problems. They model scenarios involving projectile motion, area optimization, finance, and more. Steps to Solve Problems Modeled by Quadratic...
Video Lesson Lesson from Video Solve a Quadratic Equation Using the Quadratic Formula Solve a Quadratic Equation Using the Quadratic Formula The quadratic formula is a universal method for solving quadratic equations of the form: The formula is given by: Steps to Solve Using the Quadratic...
Video Lesson Lesson from Video Solve a Quadratic Equation by Completing the Square Solve a Quadratic Equation by Completing the Square Completing the square is a method used to solve quadratic equations by transforming the quadratic expression into a perfect square trinomial. Steps to Solve by Completing the Square Write...
Video Lesson Lesson from Video Solve a Quadratic Equation Using the Square Root Method Solve a Quadratic Equation Using the Square Root Method The square root method is a straightforward way to solve a quadratic equation when the equation can be written in the form: Steps to Solve...
Video Lesson Lesson from Video Solve a Quadratic Equation by Factoring Solve a Quadratic Equation by Factoring Quadratic equations are polynomial equations of degree 2, typically written in the standard form: Steps to Solve by Factoring Write the equation in standard form, ensuring one side equals zero. Factorize...
This video explains the concept of the kernel in linear algebra, focusing on its definition, significance, and how to compute it for a given linear transformation or matrix. Learn step-by-step how to identify the kernel and understand its role in vector spaces. Perfect for students mastering fundamental concepts in linear […]
Overview of Tensor Mathematics Overview of Tensor Mathematics Important Words Tensor: A mathematical object that generalizes scalars, vectors, and matrices, used to represent physical quantities that have magnitude and multiple directions. Example: The stress tensor in mechanics describes forces acting on a material. Rank: The number of indices required to...