Master the Fundamentals of Sequences and Series
What you'll 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
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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Who this course is for:
- 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
Hi everyone! I am Dr Daniel Ling and I am a lecturer in Singapore with more than 16 years of experience teaching and tutoring Math and Physics. I have taught students from various top schools in Singapore such as the Raffles Girls’ School, Dunman High School, Catholic High School (CHS), Nanyang Girls’ High School, Nanhua High School, ACS(Independent), SJI, School of the Arts, Xinmin Sec School, Holy Innocents’ High School, Raffles Institution (formerly Raffles JC), National JC, St Andrew JC, Serangoon JC, Nanyang JC, Jurong JC, Tampines JC etc.
Currently, I am an associate lecturer at a private school where I teach Physics and Mathematics to both local and international students under the school’s GCE O/A Levels preparatory courses.
I possesses a bachelor degree in Electrical Engineering (2nd Upper Hons) from NUS, a Post-Graduate Diploma in Education (Credit) from NIE, a MBA from Australian Institute of Business and a Master of Education (M.Ed) from Aspen University, United States, specializing in curriculum development and outcome assessment. I also hold a PhD in Education from Asia e University.
I am passionate about mathematics and physics and I hope to share my passion with all my students!