Sequences And Series: From Theory To Application.

Power Of Patterns: An Exploration Of Sequences And Series.

Sub Category

• Math

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Objectives

• Students will learn to derive and apply formulas for the nth term and the sum of finite and infinite arithmetic and geometric series.
• He or She will learn to define and identify different types of sequences, such as arithmetic, geometric, and recursive sequences.
• Students will practice solving a wide range of problems involving sequences and series, including those related to real-world applications.
• They will learn about power series, including finding their interval of convergence and determining the Taylor series generated by a given function.
• He or She will be able to identify what type a given sequence or series is and find a formula for the nth term, any required term and the sum.
• The Learner will be able to indicate whether a given sequence or series is arithmetic, whether it is finite or infinite, find a formula for the nth term.
• The Learner will be able to identify whether a given sequence is geometric, whether it is finite or infinite, find a formula for its nth term.
• They will understand the concept of a series as the sum of the terms of a sequence and learn to differentiate between finite and infinite series.
• He or She will be able to solve for any term , find the sum of finite and infinite arithmetic and geometric sequence and series.
• The Learner can expect to solve for the sum of infinite arithmetic sequence and series by partial sum method.
• Plot and identify graphs of arithmetic and geometric sequences and series.
• Use factorial method to simplify arithmetic or geometric expressions and equations.
• Use summation notation to solve for the sum of finite and infinite geometric sequence and series.
• Use summation notation to solve for the sum other type of sequence and series.
• He or She will be able to find the common difference of arithmetic progression when the sum of nth terms is given.
• The student will be able to conmpare the common ratio of two geometric progressions with equal sum to infinity.
• He or She will be able to use sigma notation to write the formular for nth term of a given series.
• The student will be able to find the required term, nth term and sum of any sequences and series other than arithmetic and geometric sequences and series.

Pre Requisites

1. Writing materials: pen , pencil , paper and earphone
2. Computer, Laptop, Smartphone Or Notepad connected to internet network.
3. A quite place to help accelerate understanding and follow up.
4. A chair and a desk, a calculator or four figure table and a mathset.
5. Elementary knowledge of sequences and series is a plus.

FAQ

• Q. How long do I have access to the course materials?
  • A. You can view and review the lecture materials indefinitely, like an on-demand channel.
• Q. Can I take my courses with me wherever I go?
  • A. Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!

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