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# Pre-Calculus; Polar Coordinates, Sequences and Series

## Master the cartesian coordinate system and learn to change pairs of given polar coordinates in this free online course.

This free online course will teach you how to change from a pair of given polar coordinates back to the rectangular equivalent and the process of finding the limit of a function. You will learn how to utilize graphing equations in a cartesian plane, analyse rational graphing functions and understand the functions of sequences. If you want to develop your skills exploring pre-calculus analytical concepts, then this course is for you.

3-4 Oras

297

CPD

Earn Money

## Description

A Cartesian coordinate system identifies each point uniquely in a plane by a pair of numerical coordinates, the signed distances from two fixed perpendicular oriented lines, measured in the same unit of length. This course gives you a comprehensive explanation of the concept of the cartesian coordinate system. It is important to understand how to plot the points on a grid and denote the coordinates using an ordered pair (r, θ). Before working with positive values for the radius and smallest positive angle, it is essential to grasp converting rectangular to polar coordinates. We take you through the different relatable examples of converting rectangular to polar coordinates. We introduce you to the process of changing from a pair of given polar coordinates back to the rectangular equivalent. Have you considered using the formulas required in writing equivalent equations using rectangular coordinates or polar coordinates? We will teach you the formulas you need to transform an equation from rectangular to polar form and vice versa.

This course will demonstrate how to utilize graphing equations in a cartesian plane and analyze how to graph rational functions. Discover the functions of sequences, elements of series, as well as the steps involved in changing the sequence. Become familiar with the concept of the sigma notation with writing large sums and how to use sigma notation to denote the sum of the first ten squares. Do you know there are sigma laws essential for using sigma notations? We analyze the importance of learning how to manipulate expressions written using sigma notation. We explain how to identify the rules for evaluating limits when combining two functions or raising one function to power, or taking a root of that function. If you have struggled with understanding how you can form sums from arithmetic and geometric sequences, then this course is for you!

We will explore the process of finding the limit of a function when looking for trends of functional values presented in a table. We investigate the behaviour of the functional values graph and the function's behaviour by employing a table of values. Learn how to evaluate the limits of the six trigonometric functions as the independent variable approaches a real number. Do you know there are particular circumstances under which an infinite geometric series can also have a sum? This course explores the formulas for the last term of an arithmetic sequence and how to know the numerical value of a sum if the sequence is very short. Discover how you can use limits to calculate an instantaneous rate of change versus an average rate of change. This course will be of great interest to students, researchers, and anyone who enjoys learning about the pre-calculus concept. Register for this course and start your next learning experience today!

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