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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. Professor Sylvia Ceyer explains the standard Gibbs free energy of formation and its relationship to thermodynamic stability. The Second Law of Thermodynamics is defined as it relates to controlling spontaneity with temperature. The lecture concludes by defining the thermodynamic equilibrium constant and the reaction quotient/direction of change in a chemical equilibrium.

  8. 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.

  9. According to the rational expectations hypothesis, traders know the probabilities of future events, and value uncertain future payoffs by discounting their expected value at the riskless rate of interest. Under this hypothesis the best predictor of a firm's valuation in the future is its stock price today. In one famous test of this hypothesis, it was found that detailed weather forecasts could not be used to improve on contemporaneous ora...more

  10. Professor Sylvia Ceyer covers radioactive decay and its various uses in modern medicine. Second order half-life, as a second order integrated rate law, is then discussed. The lecture concludes with the overlap of kinetics and chemical equilibrium: the equilibrium constant, elementary reactions, and an example, the decomposition of ozone.

  11. Agassi explains the physics of startups. He draws an analogy between pendulum swings and corporations. Employees see kinetic energy, while the CEO sees potential energy. The sum of both is constant, he says.

  12. Standard Normal, Normal normalizing constant.