Lecture01_Introduction_and_review

Lecture01_Introduction_and_review - ENGR 233 Applied...

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1 ENGR 233: Applied Advanced Calculus ∫∫∫ = dv J E P p r r t B E = × v r r ∫∫∫ = V dV t T c T k 0 2 ρ
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1 Vector Calculus: Are you ready? ± Purpose : Make certain that you can define, and use in context, vector terms, concepts and formulas listed below: Section 7.1-7.2 ¾ find the vector defined by two points and determine the norm of the vector. ¾ add two vectors ¾ multiply a non-zero vector by a non-zero scalar. ¾ represent a non-zero vector in the xy -plane in terms of its magnitude and the angle it makes with the positive x -axis. Vectors in 2D and 3D Space: Review
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2 Vectors in 2D space ± There are many quantities that are vector functions : Some Daily Use of Vectors ¾ A wind of 80 km/h from the Southeast . ¾ A car going 80 km/h East . ¾ A vertical velocity of 20 m/s . ¾ A plane traveling 1000 km/h on a 180 heading . These issues are described by a magnitude and a direction . ± Vector algebra and vector calculus have resulted from practical engineering applications: Mechanics, Fluid flows, Wireless Communications ± Scalar : is described by a single quantity such as work, energy, potential, speed, temperature, blood pressure .. ± Vector : is described by a magnitude and direction such as velocity, electric force, position of a robot …
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3 Some Applications of Vectors ± Mechanics
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Lecture01_Introduction_and_review - ENGR 233 Applied...

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