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Open Courseware
Gradient of A Function
A basic tutorial on the gradient field of a function. We show how to compute the gradient; its geometric significance; and how it is used when computing the directional derivative.The gradient is a basic property of vector calculus.
http://www.youtube.com/watch?v=Xw5wsWDt1Cg -
Open Courseware
Vector Functions of One Variable Tutorial
An introduction to the calculus of vector functions of one variable. Some simple problems are discussed, including differentiation, integration and how to determine the curve associated with a function (in this example, a helix). Such functions can be used to describe curves and motion in space.
http://www.youtube.com/watch?v=hmNlDuk08Yk -
Open Courseware
Partial Derivatives + Error Estimation
Explain the calculus of error estimation with partial derivatives via a simple example. Such ideas are seen in university mathematics.
http://www.youtube.com/watch?v=wLrHCkesOA8 -
Open Courseware
Basic Differential Equation with an Initial Condition
Basic Differential Equation with an Initial Condition. In this video, I solve a basic differential equation with an initial condition (that means we must solve for C). You should have seen these problems when you first started integration in calculus!
http://www.youtube.com/watch?v=CzMAVLrJ3MM -
Open Courseware
Finding the Point Where a Line Intersects a Plane
Finding the Point Where a Line Intersects a Plane – Multivariable Calculus Stuff!In this video, I find the point at which a line would intersect a plane.
http://www.youtube.com/watch?v=qVvvy5hsQwk -
Open Courseware
Preparing for War: NEPA
Environmental Politics and Law (EVST 255) During this session, Professor Wargo stresses the importance of considering the persistence of pollutants in the environment. He continues the discussion of the Atomic Energy Commission’s (AEC) risk management strategies in the wake of nuclear experiments from 1945-1963, and also introduces risk reduction strategies attempted after the nuclear […]
http://www.youtube.com/watch?v=xm6xTAbMXck -
Open Courseware
The Electric Potential and Conservation of Energy
Fundamentals of Physics, II (PHYS 201) The law of conservation of energy is reviewed using examples drawn from Newtonian mechanics. The work-energy theorem is derived from first principles and used to initiate a discussion of the vector calculus underlying the law of conservation of energy. 00:00 – Chapter 1. Review of Electrostatics 03:49 – Chapter […]
http://www.youtube.com/watch?v=uA_hXjJ2Ts8 -
Open Courseware
Harmonic Motion Part 1
Intuition behind the motion of a mass on a spring (some calculus near the end).
http://www.youtube.com/watch?v=Nk2q-_jkJVs -
Open Courseware
Derivative of x^(x^x)
Calculus: Derivative of x^(x^x).
http://www.youtube.com/watch?v=N5kkwVoAtkc -
Open Courseware
Derivatives Part 1
Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
http://www.youtube.com/watch?v=rAof9Ld5sOg