systems of equations
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Smith talks about how New Ventures aims to create systems that are K-12 to provide a coherent experience to children. Incubation is important. New Schools buys run down buildings and turns them into successful schools. They do everything from recruitment to management to building, she adds.
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Roizen gives an inside glance at what VCs hopes to invest in. Her company, Mobius, is looking to invest in various fields from nanotechnology to component level architecture, to systems and wireless space.
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This lecture explains what an economic model is, and why it allows for counterfactual reasoning and often yields paradoxical conclusions. Typically, equilibrium is defined as the solution to a system of simultaneous equations. The most important economic model is that of supply and demand in one market, which was understood to some extent by the ancient Greeks and even by Shakespeare. That model accurately fits the experiment from the last...more
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Solving a non-homogeneous differential equation using the Laplace Transform.
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Using the Convolution Theorem to solve an initial value problem.
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Putting it all together!
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Another example where the nonhomogeneous part is a polynomial.
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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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Determining the equations of trig functions by inspecting their graphs.
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In the absence of a net external torque on an object, angular momentum is conserved. When an object oscillates about an axis of rotation, there is a variable restoring torque acting on the object. A review is given of equations for angular momentum and torque, and the importance of choosing the point of origin. These equations are exercised using an example of a circular orbit.
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This course deals primarily with equilibrium properties of macroscopic systems, basic thermodynamics, chemical equilibrium of reactions in gas and solution phase, and rates of chemical reactions.
