Mathematics (MAM1005H)

85% PASS

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

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

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

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