'Vector function' diaporamas de présentation

PHYSICS-II (PHY C132)

PHYSICS-II (PHY C132). ELECTRICITY & MAGNETISM. Introduction to Electrodynamics: by David J. Griffiths (3 rd Ed.). VECTOR ANALYSIS. Differential Calculus. Integral Calculus. Revisited. Curvilinear Coordinates. The Dirac Delta Function. Theory of Vector Fields.

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Vector Calculus

CHAPTER 9.1 ~ 9.4. Vector Calculus. Contents. 9.1 Vector Functions 9.2 Motion in a Curve 9.3 Curvature and Components of Acceleration 9.4 Partial Derivatives. 9.1 Vector Functions.

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Contents

Contents. 9.1 Vector Functions 9.2 Motion in a Curve 9.3 Curvature and Components of Acceleration 9.4 Partial Derivatives. 9.1 Vector Functions.

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Contents

Contents. 9.1 Vector Functions 9.2 Motion in a Curve 9.3 Curvature and Components of Acceleration 9.4 Partial Derivatives. 9.1 Vector Functions.

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Contents

Contents. 9.1 Vector Functions 9.2 Motion in a Curve 9.3 Curvature and Components of Acceleration 9.4 Partial Derivatives. 9.1 Vector Functions.

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Derivative of any function f(x,y,z) :

Differential Calculus (revisited):. Derivative of any function f(x,y,z) :. Gradient of function f. Gradient of a function. Change in a scalar function f corresponding to a change in position dr. ? f is a VECTOR. Geometrical interpretation of Gradient. Z. P. Q. dr. Y.

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VECTOR FUNCTIONS

13. VECTOR FUNCTIONS. VECTOR FUNCTIONS. Later in this chapter, we are going to use vector functions to describe the motion of planets and other objects through space. Here, we prepare the way by developing the calculus of vector functions. VECTOR FUNCTIONS. 13.2

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Dr. Wang Xingbo Fall ? 2005

Mathematical & Mechanical Method in Mechanical Engineering. Dr. Wang Xingbo Fall ? 2005. Mathematical & Mechanical Method in Mechanical Engineering. Vector Algebra. Vectors Products of Two Vectors Vector Calculus Fields Applications of Gradient, Divergence and Curl.

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Particle

Particle. A particle is an object having a non zero mass and the shape of a point (zero size and no internal structure). In various situations we approximate a real object by a particle.

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Adapted from notes by Prof. Stuart A. Long

ECE 3317 Applied Electromagnetic Waves Prof. David R. Jackson Fall 2018. Notes 3 Review of Vector Calculus. Adapted from notes by Prof. Stuart A. Long. Overview.

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Vector Functions

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9.1 Vector Funcions

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13.1 Vector Functions

13.1 Vector Functions. f , g , & h are the component functions of vector r. Vector Function:. Ex 1 :. Find the domain of r(t). the limit exists, if the limit of each component exists. Limits:. Ex 2: Find the limit:. Ex 3: Discuss the shape of the curve. (Apply to matching section!).

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Section 14.1

Section 14.1. Vector Functions and Space Curves. VECTOR FUNCTION. A vector-valued function , or vector function , is a function whose domain is a set of real numbers and whose range is a set of vectors.

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Find the following limit. {image}

1. 2. 3. 4. Find the following limit. {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Choose the parametric equations that correspond to the given graph. {applet}. {image} {image} {image} {image}. 1. 2. 3. 4.

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