constant coefficients
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Angular momentum is constant when there is no net torque.
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Another example using undetermined coefficients.
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Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.
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This lecture is all about motion of projectiles (if air drag can be ignored). The objects experience a constant vertical acceleration due to the acceleration of gravity (see also Lecture 12). Professor Lewin reviews the equations for projectile motion, showing that the trajectory is a parabola. He continues with a demonstration that shows how to measure the initial speed of a projectile and how to reach maximum horizontal distance shooting...more
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This lecture is a continuation of an analogue to Newton's law: τ= lα. While previous problems examined situations in which τ is not zero, this time the focus is on extreme cases in which there is no torque at all. If there is no torque, α is zero and the angular velocity is constant. The lecture starts with a simple example of a seesaw and moves on to discuss a collection of objects that are somehow subject to a variety of forces but r...more
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This lecture continues the topic of thermodynamics, exploring in greater detail what heat is, and how it is generated and measured. The Boltzmann Constant is introduced. The microscopic meaning of temperature is explained. The First Law of Thermodynamics is presented.
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This lecture is about uniform circular motion. There is a constant radial acceleration (centripetal acceleration) but constant tangential speed. Professor Lewin uses himself as an example, sitting on a chair bolted to a fast rotating turntable feeling the push and pull of centripetal force. He continues with discussion of the motion of the planets around the sun, with respect to gravitational pull, and the idea behind a centrifuge and ...more
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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especial...more
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In this lecture, Professor Paul Fry turns his attention to the relationship between authorship and the psyche. Freud's meditations on the fundamental drives governing human behavior are read through the lens of literary critic Peter Brooks. The origins of Freud's work on the "pleasure principle" and his subsequent revision of it are charted, and the immediate and constant influence of Freudian thought on literary production is asserted. Br...more
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Similarity between C++ & Java: - syntax - variable types - operators - control structures
Stanford / Computer Science
Similarity between C++ & Java: - syntax - variable types - operators - control structures, Looking at an Example C++ code: - comment, #include Statements, Global Declarations (constant), Declaring a Function Prototype, The main() Function, Decomposed Function Definition, Example Live Coding: To Calculate the Average, for loop -> a while : Another Purpose of the Same Code, C++ User Defined Data Types: -enums -records, C++ Parameters Passing...more
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In this lecture Professor Sylvia Ceyer moves on from the wavelike properties of light, to the particle-like nature of light. To do so she covers the photoelectric effect in detail, discussing threshold frequency and kinetic energy vs. frequency. Planck's constant is discussed. The lectures concludes with a discussion of photon momentum and its relation to wavelength.
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Concerns about low fertility have been present in many countries for at least 100 years. A large population was considered essential to national power. But the issue is never simply a shortage of warm bodies: overall the world population has increased dramatically over this period and untold numbers would immigrate, if allowed. The issue is the number of the 'right sort' of people, defined as those having preferred national, religious, rac...more
