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Master the Fundamentals of Sequences and Series
Embark on this course to learn more about Binomial Series, Maclaurin's Series and Taylor's Series!
Created by Dr Ling Meng Kay Daniel, PhD, offered on Udemy
We analyze course length to see if courses cover all important aspects of a topic, taking into account how long the course is compared to the category average. This course has a length of 1 hours 52 minutes, which is pretty short. This might not be a bad thing, but we've found that longer courses are often more detailed & comprehensive. The average course length for this entire category is 7 hours 6 minutes.
This course currently has a bestcourses score of 1.5/10, which makes it an below average course. Overall, there are most likely better courses available for this topic on our platform.
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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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
- Basic calculus, especially differentiation techniques
- Basic algebra and arithmetic