Abstract
This chapter presents the preliminary studies of calculus. It provides an overview of sets of real numbers, absolute value and inequalities, the Cartesian plane, functions and graphs, and the equations of a straight line. The real numbers fall into several categories. The positive integers, also called as natural numbers, are the numbers of counting: 1, 2, 3… (the three dots indicate that the string of numbers goes on indefinitely). Between any two real numbers there is a rational number and an irrational number. The set of all ordered pairs of real numbers is called the Cartesian plane and is denoted by ℝ2. Any number in ℝ can be represented graphically on a number line. Analogously, any point (x, y) can be represented graphically as a point in the Cartesian plane. The first number in the ordered pair is called the x-coordinate and the second number the y-coordinate. An equation of a line is an equation in the variables x and y satisfied by the coordinates of every point on the line and only the points on the line. The graph of an equation in x and y is the set of all points drawn in the xy -plane whose coordinates satisfy the equation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
