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Calculus • Series

Integration Techniques

Satrio B

Series Details

Sessions

Public Discussion

This series ended on May 15, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

We'll discuss several integration technique that is definitely useful to know for exam or just out of curiosity. @ TECHNIQUES COVERED (in order): 1. U-substitution 2. Partial Fraction 3. Trigonometric Substitution 4. Integration by Parts Optional : - Hyperbolic trigonometric integration - Involving inverse trigonometric form - Weierstrass Substitution @ How to succeed in this course ? Integration is the same as any other part of maths which you can improve by doing a lot of problems. Whether you're studying this on your own or at school, you're more than welcome to ask any questions (hint to questions) or concept that you are still unclear about. Discussion with others also highly encouraged. @ PREREQUISITE KNOWLEDGE : - Basic derivatives (literally basic) of these: Polynomial, trigonometry, Natural logarithm, exponent (eg : 2^x) - Comfortable with the ideas of: trigonometric compound formula, Trigonometric identities, Natural logarithm properties, exponents, factorisation and expanding expressions In some sessions I'll review some of the properties that I mentioned in "Comfortable with..". The more we delve into the courses the more all of these become off the top of our head. @ Feedback There will be a mini-exam after every techniques. As these techniques are foundations to each other we need to make sure we are really okay to moving on and not letting misunderstanding / confusion neglected. There will be a real test after everything's been covered and some questionnaire

✋ ATTENDANCE POLICY

Prior notice is required. There will be catch up sessions if you were absent

Dates

April 30 - May 15

Learners

12 / 15

Total Sessions

6

About the Tutor

I'm a high school student from the UK (taking A-Level) but born in Indonesia. I love STEM in general, particularly in Maths.I'm a certified tutor in More Math. I've sat BMO (British Mathematical Olympiad), equivalent to USAMO / AIME. One thing that I really want to happen in the future is that everyone will get along with maths and even find it interesting. I plan to major in Maths or Math with any variety of its applications in college/uni.

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Upcoming Sessions

0

Past Sessions

6
30
Apr

Session 1

Orientation

Introduction and quick overview of what's gonna be covered. I'm also gonna be showing some of the expected knowledge example as described in the course's prerequisite knowlegde
1
May

Session 2

Other Topics

Trigonometric Substitutions and some questions on Partial Fraction
7
May

Session 3

Other Topics

I'll prepare a question or two for you guys to have a go at for the first 15 minutes, we'll then cover Partial Fraction technique.
8
May

Session 4

Other Topics

We're covering : Trigonometric Substitutions
14
May

Session 5

Other Topics

We're covering : Trigonometric Substitutions and Integration by Parts. There'll be also a cool trick on by Parts that is worth knowing
15
May

Session 6

Other Topics

We're covering : Integration by Parts and (Optional as mentioned in description)

Public Discussion

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