Master the Fundamentals of Sequences and Series

Master the Fundamentals of Sequences and Series, available at $27.99, with 31 lectures, and has 20 subscribers.

You will learn about Arithmetic Sequences and Series Geometric Sequences and Series Summation using standardized results Recurrence Relations and Summation Series The Method of Difference Taylor's Series Binomial Series Maclaurin's Series Small Angle Approximations using Maclaurin's series Fourier Series This course is ideal for individuals who are GCE/IGCSE 'A' level Mathematics students or IB SL/HL Mathematics students or First year college undergraduates with major in Engineering or Mathematics or Anyone with a keen interest to learn more about Sequences and Series It is particularly useful for GCE/IGCSE 'A' level Mathematics students or IB SL/HL Mathematics students or First year college undergraduates with major in Engineering or Mathematics or Anyone with a keen interest to learn more about Sequences and Series.

Enroll now: Master the Fundamentals of Sequences and Series

Summary

Title: Master the Fundamentals of Sequences and Series

Price: $27.99

Number of Lectures: 31

Number of Published Lectures: 31

Number of Curriculum Items: 31

Number of Published Curriculum Objects: 31

Original Price: $27.99

Quality Status: approved

Status: Live

What You Will Learn

Arithmetic Sequences and Series
Geometric Sequences and Series
Summation using standardized results
Recurrence Relations and Summation Series
The Method of Difference
Taylor's Series
Binomial Series
Maclaurin's Series
Small Angle Approximations using Maclaurin's series
Fourier Series

Who Should Attend

GCE/IGCSE 'A' level Mathematics students
IB SL/HL Mathematics students
First year college undergraduates with major in Engineering or Mathematics
Anyone with a keen interest to learn more about Sequences and Series

Target Audiences

GCE/IGCSE 'A' level Mathematics students
IB SL/HL Mathematics students
First year college undergraduates with major in Engineering or Mathematics
Anyone with a keen interest to learn more about Sequences and Series

Dear students,

Welcome to this course on “Master the Fundamentals of Sequences and Series”!

This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A level or the IB SL/HL Math examinations.

At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:

concepts of sequences and series
arithmetic sequences and series (the arithmetic term and the sum)
geometric sequences and series (the geometric term and the sum)
Sum to Infinity
The summation sign (sigma notation)
Method of Difference
Binomial Series – concepts and applications
- expansion for integer powers and fractional powers
Taylor’s Series – concepts and applications
Maclaurin’s Series – concepts and applications
Small angle approximations using Maclaurin’s Series
Fourier Series introduction

Along the way, there will be ample practice questions for you to get familiarized with the various concepts of sequences and series. You will also learn how to apply the concepts to solve problems.

If you encounter any issues with the course, please do not hesitate to contact me for more clarifications.

I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers!

Dr Ling M K Daniel, PhD

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Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction to Sequences and Series

Chapter 2: Arithmetic and Geometric Sequences and Series

Lecture 1: Arithmetic Sequences and Series (the General nth Term)

Lecture 2: The Arithmetic Sum

Lecture 3: Geometric Sequences and Series (the General nth Term)

Lecture 4: The Geometric Sum

Lecture 5: Geometric Sum to Infinity

Lecture 6: Practice 1

Lecture 7: Practice 2

Chapter 3: Summation and Method of Difference

Lecture 1: The Summation Series (Sigma Notation)

Lecture 2: Summation using Standard Results

Lecture 3: AP and GP Summation Methods

Lecture 4: Recurrence Relations and Summation Series

Lecture 5: The Method of Difference

Lecture 6: Practice 3

Lecture 7: Practice 4

Chapter 4: Taylor's Series

Lecture 1: Introduction to Taylor Series

Lecture 2: The Radius of Convergence

Lecture 3: Practice examples of Taylor Series

Chapter 5: Binomial Series

Lecture 1: Binomial Series (the Binomial Coefficient)

Lecture 2: Binomial Series (Expansion with Positive Integer Power)

Lecture 3: Binomial Series (Expansion with Negative Integer or Fractional Power)

Lecture 4: Binomial Series (Validity of Expansion)

Lecture 5: Binomial Series (Expansion with Descending Powers)

Lecture 6: Practice 5

Chapter 6: Maclaurin's Series

Lecture 1: Introduction to the Maclaurin's Series

Lecture 2: Maclaurin's Expansion using Standard Series

Lecture 3: Standard Question Structures for Maclaurin's Series

Lecture 4: Small Angle Approximations

Lecture 5: Practice 6

Chapter 7: Fourier Series

Lecture 1: Introduction to Fourier Series

Chapter 8: Further Practice Problems

Lecture 1: Further Practice Problems 1

Instructors

Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach

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