Catalyst University
The Infamous Sum of Counting Numbers is NOT -1/12
The Infamous Sum of Counting Numbers is NOT -1/12
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 1 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions.
Virtually Passed
Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 1
This video only proves the first formula; that the derivative of internal shear force wrt length along the bar is equal to the negative of the distributed load (dV/dx = -w). The second formula (dM/dx = V) is in Part 2. It's very easy to...
Brian McLogan
How to factor out a common term to solve a quadratic equation
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Math Fortress
Calculus II: Integration By Parts (Level 2 of 6)
This video goes over 3 examples, covering the proper way to use the integration by parts formula. This video includes an example covering the two forms of the integration by parts formula, an example where rewriting of the integrand is...
Math Fortress
Calculus II: Integration By Parts (Level 4 of 6)
This video goes over an example, covering the proper way to find integrals that require the repeated application of the integration by parts formula specifically an integral that generates a constant multiple of the original integral. In...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 1 of 10)
This video is a review of number lines and coordinate systems. This video goes over the basic concepts and terminology of one dimensional, and two dimensional coordinate systems. This video concludes with an introduction to three...
Brian McLogan
Learn how to find the antiderivative of a polynomial
👉 Learn how to find the antiderivative (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...
Math Fortress
Calculus II: Integration By Parts (Level 1 of 6)
This video goes over a second integration technique used to find indefinite integrals formed by a product of functions. This video goes over the derivation of the integration by parts formula by using the product rule as a starting...
Brian McLogan
How to determine if the derivative exist from the left and right of a absolute value
👉 Learn how to determine the differentiability of an absolute value function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that...
Let's Tute
Volume of a Sphere
This video explores the mathematical logic behind the story of the thirsty crow and applies it to a real-life scenario of calculating the number of marbles needed to raise the water level in a glass. It also includes a derivation of the...
Brian McLogan
Find the integral given a partial and full integrand
👉 Learn how to evaluate the integral of separated functions. 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...
Catalyst University
Limits of Exponentials and Sums of Exponentials
Limits of Exponentials and Sums of Exponentials
Professor Dave Explains
Advanced Stratety for Integration in Calculus
Extra practice for integration with tough examples.
Professor Dave Explains
Alternating Series, Types of Convergence, and The Ratio Test
An introduction to alternating series, and an overview of the types of convergence and the ratio test.
Curated Video
Understanding the Problem Theorem of Calculus
The video is a presentation on the problem theorem of calculus, which explains the link between integration and differentiation. The speaker begins by reviewing differentiation and integration, and how they relate to each other. The...
Flipping Physics
AP Physics C: Rotational Kinematics Review (Mechanics)
Calculus based review of instantaneous and average angular velocity and acceleration, uniformly angularly accelerated motion, arc length, the derivation of tangential velocity, the derivation of tangential acceleration, uniform circular...
Professor Dave Explains
Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule
The derivation of the product rule and quotient rule for taking derivatives in calculus.
Brian McLogan
How to write a piecewise function from a given graph - Homework help online
👉 Learn how to write the piecewise function given the graph. A piecewise function is a function having different rules/equations for different intervals. When interpreting the graph of a piecewise function, we take note of the arrows the...