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Pre-Calculus; Polar Coordinates, Sequences and Series

A free online course on the cartesian coordinate system and how to change from a pair of given polar coordinates.

Publisher: ADU
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 involved in finding the limit of a function. You will learn how to utilize graphing equations in a cartesian plane and the analysis of graphing rational functions, and the functions of sequences. If you want to develop your skills exploring pre-calculus analytical concepts, then this course is for you.
Pre-Calculus; Polar Coordinates, Sequences and Series
  • Duration

    5-6 Hours
  • Students

    84
  • Accreditation

    CPD

Description

Modules

Outcome

Certification

View course modules

Description

Pre-Calculus; Polar Coordinates, Sequences and Series is a free online course that has been specially prepared to give you a comprehensive explanation of the concept of the cartesian coordinate system. It is important to understand how the points can be plotted on a grid, as well as how the coordinates can be denoted by an ordered pair, (r, θ). Before working with positive values for the radius and smallest positive angle, it is important to understand the procedure involved in the conversion of rectangular to polar coordinates. This course will take you through the different relatable examples of the conversion from rectangular to polar coordinates. This course introduces 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 with the use of rectangular coordinates or polar coordinates? This course will teach you the formulas you need to transform an equation from rectangular to polar form and vice versa.

If you want to know how to utilize graphing equations in a cartesian plane and the analysis of graphing rational functions, then you should take this course. You will be able to explain the functions of sequences, elements of series, as well as the steps involved in changing the sequence. Also, this course will help you understand the concept of the sigma notation with writing large sums and how to use sigma notation to denote the sum of the first 10 squares. Do you know there are sigma laws that are essential for using sigma notations? The course also analyzes the importance of knowing how to manipulate expressions that are written using sigma notation. This course explains how to identify the rules for evaluating limits when combining two functions or when raising one function to power or taking a root of that function. If you have struggled with understanding how sums can be formed from arithmetic and geometric sequences, then this course is for you.

Furthermore, you will also learn about the process involved in finding the limit of a function when looking for trends of functional values presented in a table. This course will take you through how to investigate the behaviour of the functional values graph, as well as the behaviour of the function by means of a table of values. You will also learn how to evaluate the limits of the six trigonometric functions as the independent variable approaches a real number. Do you know there are special circumstances under which an infinite geometric series can also have a sum? This course will help you get a better understanding of 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. This course will explain in detail the discovery of how limits can be used to calculate an instantaneous rate of change versus an average rate of change. This free online will be of great interest to students, researchers, and anyone with an interest in the pre-calculus concept. Register for this course and start your next learning journey today!

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