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:
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concepts of sequences and series
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arithmetic sequences and series (the arithmetic term and the sum)
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geometric sequences and series (the geometric term and the sum)
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Sum to Infinity
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The summation sign (sigma notation)
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Method of Difference
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Binomial Series – concepts and applications
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expansion for integer powers and fractional powers
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Taylor’s Series – concepts and applications
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Maclaurin’s Series – concepts and applications
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Small angle approximations using Maclaurin’s Series
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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
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Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach
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