Mathematics (MAM1005H)
University of Cape Town (UCT)
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Concepts and Operations in n-dimensional Euclidean Space
- Other • 45 pages • 2021
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AXIOMATIK
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For every natural number n we define n-dimensional space as the set Rn of all ordered n-tuples x1 x2 xn where xi R for i 1 2 n. One-dimensional space R1 corresponds with the set of real numbers R. For n 2 we usually denote the ordered n-tuple x1 x2 xn by x, the ordered n-tuple a1 a2 an by a, and so on. If x x1 x2 xn, we say that xi is the i’th coor...
This unit contains a brief summary of concepts, definitions, notation, and results that you are assumed to be familiar with SETS RELATIONS AND FUNCTIONS
THESE ARE THE RULES FOR CALCULUS DIFFERENTIATION
Concise collection of lecture notes and summaries on the concept(s) of Limits and Derivatives of functions
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Derivative at a Point
- Class notes • 2 pages • 2017
- Available in package deal
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MKmaus97
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Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
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Derivatives: Key Concepts
- Class notes • 3 pages • 2017
- Available in package deal
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MKmaus97
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Discusses important features of the derivative: Differences between average velocity and instantaneous velocity in terms of derivatives; practical applications of the derivative; class test revision example
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Derivative Function
- Class notes • 3 pages • 2017
- Available in package deal
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MKmaus97
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- R50,00
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Basic introduction to the concept of the Derivative: Finding the derivative by first principles/ by the definition; graphing of original function and derivative; how to interpret original function from derivative and vice versa
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