Catalyst University
Power Series: Computing Integrals via Power Series: Example 1
Power Series: Computing Integrals via Power Series: Example 1
Catalyst University
Real Gas Behavior | The Hard Shell Model [Example #2]
In this video, we work with the Hard Shell gas mode to calculate the work done by an expanding gas. Uses integration calculus.
Flipping Physics
Uniform Solid Cylinder Moment of Inertia Derivation
Deriving the integral equation for the moment of inertia or rotational inertia of a uniform solid cylinder.
Flipping Physics
Calculating Average Drag Force on an Accelerating Car using an Integral
A vehicle uniformly accelerates from rest to 3.0 x 10^1 km/hr in 9.25 seconds and 42 meters. Determine the average drag force acting on the vehicle.
Math Fortress
Calculus II: Integration By Parts (Level 3 of 6)
This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
Virtually Passed
projectile with drag part 1
What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too like...
Math Fortress
Calculus II: Trigonometric Integrals (Level 4 of 7)
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 basic example illustrating the case...
APMonitor
LSTM Replaces PID Control
The purpose of this exercise is to automate a temperature control process with an LSTM network. The LSTM network is trained from a PID (Proportional Integral Derivative) controller or a Model Predictive Controller (MPC). LSTM (Long Short...
Flipping Physics
AP Physics C: Simple Harmonic Motion Review (Mechanics)
Calculus based review of Simple Harmonic Motion (SHM). SHM is defined. A horizontal mass-spring system is analyzed and proven to be in SHM and it’s period is derived. The difference between frequency and angular frequency is shown. The...
Catalyst University
Postulates of Quantum Mechanics: Expectation Values
Postulates of Quantum Mechanics: Expectation Values
Brian McLogan
U substitution with a radical
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
What is an integral and it's parts
👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite...
Virtually Passed
projectile with drag part 2
What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too like...
Virtually Passed
Optimal path to swim across river in least time - Math Puzzle (HARD)
0:00 - Introduction 0:29 - Speeds 1:23 - Total time 1:47 - Constraint 2:37 - Euler Lagrange 4:20 - Solution 5:05 - MATLAB solution 5:42 - MATLAB solution using solver
Catalyst University
JUST "THE WHY": Introduction to Limits (Why Use Them?)
JUST "THE WHY": Introduction to Limits (Why Use Them?)
Catalyst University
Postulates of Quantum Mechanics: Orthonormality & Basis Sets
Postulates of Quantum Mechanics: Orthonormality & Basis Sets
Catalyst University
Postulates of Quantum Mechanics: Orthogonality of Wavefunctions
Postulates of Quantum Mechanics: Orthogonality of Wavefunctions
Virtually Passed
Impulse and momentum derivation
With the assistance of an animation, this video shows how to calculate impulse using the change in momentum.
Flipping Physics
Nonuniform Density Center of Mass
Determine the x-position center of mass of a horizontally oriented rod with a length of 0.65 m and linear mass density of [43 - 21 x^2 ] g/m. Want Lecture Notes? https://www.flippingphysics.com/center-mass-nonuniform.html This is an AP...
Flipping Physics
Impulse Derivation and Demonstration
Calculus is used to derive and define Impulse. The force as a function of time acting on a ball is demonstrated and graphed in slow motion. Want Lecture Notes? https://www.flippingphysics.com/impulse-area.html This is an AP Physics C:...
Virtually Passed
Math Puzzle - Running on sand
What path should you run along the beach to get from point A to point B in the least time? As you get closer to the sea, the faster you run!
Brian McLogan
How to use usub to find the integral with a square root in the denominator
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...