MAT135H1 Lecture Notes - Lecture 1: Piecewise, Real Number, Dependent And Independent Variables
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MAT135H1 Full Course Notes
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Mat135 - lecture 1 - functions, finding domains, vertical line test, piecewise defined. Introduction to course: note that the official website for this course is www. math. utoronto. ca/lam (the course is not using blackboard/portal, print out the 8-page course outline from the website, course administrator is anthony lam. Only use your mail. utoronto. ca email account to contact him. The subject line of your email should contain the words mat135 . Functions: function (f) is a rule that assigns to each element x of a set d exactly one element called f(x) in a set e. Normally, d and e are sets of real numbers, in this case a function takes a number, x, and produces a number, f(x). D is the domain of the function (set of inputs into the function). Range = set of all values taken by f(x) If we write y=f(x), y is called the dependent variable, x is the independent variable: example: f(x) = x2.
