Mathematical tools

Rod calculus

Rod calculus or rod calculation was the mechanical method of algorithmic computation with counting rods in China from the Warring States to Ming dynasty before the counting rods were increasingly replaced by the more convenient and faster abacus. Rod calculus played a key role in the development of Chinese mathematics to its height in Song Dynasty and Yuan Dynasty, culminating in the inventionof polynomial equations of up to four unknowns in the work of Zhu Shijie. (Wikipedia).

Rod calculus
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Calculus, Sequence 11 1 #51

Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.

From playlist Calculus, Sect 11.1, Sequences

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Calculus, 11 9 #3, Power Series Representation

Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.

From playlist Calculus, Sect 11.9, Power Series Representations of Functions

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Calculus, 11 9 #13 a, Power Series Representation

Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.

From playlist Calculus, Sect 11.9, Power Series Representations of Functions

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Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers

We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www

From playlist Vector Calculus for Engineers

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16_2 Evaluating the force and the directional vector differential

Learn how to develop the vector field function and the vector, r, to derive a useful function for the line integral of a vector field.

From playlist Advanced Calculus / Multivariable Calculus

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Vector Calculus: Understanding Curl

Some formal and informal intuition regarding curl, a vector calculus concept.

From playlist Summer of Math Exposition Youtube Videos

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What is the curl?

Free ebook http://tinyurl.com/EngMathYT A basic introduction to the curl of a vector field - one of the basic operations of vector calculus. I show how to calculate the curl and discuss its relationship with rotation and circulation density. Many examples are presented.

From playlist Engineering Mathematics

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Vectors | Lecture 1 | Vector Calculus for Engineers

Defines vectors, vector addition and vector subtraction. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_con

From playlist Vector Calculus for Engineers

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Vector Calculus 5: Vector Equation of a Straight Line

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Vector Calculus

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Oxford Calculus: Heat Equation Derivation

University of Oxford mathematician Dr Tom Crawford derives the Heat Equation from physical principles. The Heat Equation is one of the first PDEs studied as an undergraduate maths student. Test yourself with some exercises on the Heat Equation with this FREE worksheet in Maple Learn: http

From playlist Oxford Calculus

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More on moment of inertia | Moments, torque, and angular momentum | Physics | Khan Academy

In this video David explains more about what moment of inertia means, as well as giving the moments of inertia for commonly shaped objects. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/rotational-kinetic-energy?utm_source=YT&

From playlist Torque and angular momentum | Physics | Khan Academy

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Moments of Inertia of Rigid Objects with Shape

The moment of inertia of a system of particles equation is used to estimate six different moments of inertia of rigid objects with constant density. Want Lecture Notes? https://www.flippingphysics.com/moment-of-inertia-eggs.html This is an AP Physics 1 topic. 0:00 Intro 0:10 Visualizing t

From playlist AP Physics 1 - EVERYTHING!!

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Physical Pendulum - Period Derivation and Demonstration using Calculus

Calculus is used to derive the angular frequency and period equations for a physical pendulum. A physical pendulum is also demonstrated and real world calculations are performed. Want Lecture Notes? http://www.flippingphysics.com/physical-pendulum.html This is an AP Physics C: Mechanics to

From playlist Simple Harmonic Motion - AP Physics C: Mechanics

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Lecture 24 - Rotational Motion, part B - Ph1121 Physics - Classical Mechanics

Physics PH 1121 Classical Mechanics - Week 8 Day 2 *** Go Full Screen and make sure you click the gear icon and choose HD. Playlist for classical mechanics course: https://www.youtube.com/playlist?list=PL6LNFNTCXeCaDAxx7lxcS4yEK3qFPNvD1

From playlist PH1121

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Worldwide Calculus: The Definite Integral (part A)

Lecture on 'The Definite Integral (part A)' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Continuous Sums: the Definite Integral

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The center of mass -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Basic Physics II 3B. Lecture 09.

UCI Physics 3B: Basic Physics II (Summer 2013) Lec 09. Basic Physics II View the complete course: http://ocw.uci.edu/courses/physics_3b_basic_physics_ii.html Instructor: Roger McWilliams, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http:/

From playlist Physics 3B

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Moments and Center of Mass 5 - Rod of Nonuniform Density

Calculus: We derive the formula for the mass, moment about zero, and center of mass for a rod of nonuniform density rho(x). Examples are the rod from x=0 to x=L when rho(x) is constant and when rho(x) = x.

From playlist Calculus Pt 4: Applied Integration

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Intro to VECTOR FIELDS // Sketching by hand & with computers

Vector Fields are extremely important in math, physics, engineering, and many other fields. Gravitational fields, electric fields, magnetic fields, velocity fields, these are all examples of vector fields. In this video we will define the concept of a vector field, talk about some basic te

From playlist Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**

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The mass and the center of mass -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

Related pages

Interpolation | Zu Chongzhi | System of linear equations | Decimal | Counting rods | Carry (arithmetic) | Galley division | Multiplication table | Qin Jiushao | Arabic numerals | Algorithm | Abacus | Tian yuan shu