differential equations of equilibrium
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Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.
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Let's find the general solution!
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Let's use some initial conditions to solve for the particular solution.
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Another example with initial conditions!
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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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U02_L2_T2_we1 Absolute Value Equations.
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U02_L2_T2_we1 : Absolute Value Equations 1.
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U02_L2_T2_we2 : Example of solving an absolute value equation.
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Professor Sylvia Ceyer discusses the classification of acids and bases as they are defined by Arrhenius, Bronsted-Lory, and Lewis acid/base. The pH function (and pOH function) are defined as they relate to the strength of acids and bases (in water). Professor Ceyer then runs through the types of acid-base problems and concludes by discussing equilibrium involving weak acids.
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Professor Sylvia Ceyer continues her discussion of acid-base equilibrium, diving into buffers. The lecture concludes with the Henderson-Hasselbalch equation and its use in designing a buffer.
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Professor Sylvia Ceyer discuses titrations involving a strong acid and a strong base. Defining the point and equivalence and the end point. The lecture continues with a focus on calculating points on a pH curve, specifically calculating pH before the equivalence point, calculating volume of HCl needed to reach equivalence point, and calculating pH after the equivalence point. Finally, Professor Ceyer discusses characteristics of titratio...more
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Advice for Applying Machine Learning, Debugging Reinforcement Learning (RL) Algorithm, Linear Quadratic Regularization (LQR), Differential Dynamic Programming (DDP), Kalman Filter & Linear Quadratic Gaussian (LQG), Predict/update Steps of Kalman Filter, Linear Quadratic Gaussian (LQG)
