Integration Overview

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Integration Overview

SAT Score Range

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5 sessions

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This series was cancelled by the tutor on July 25, 2023. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

Over the course of this series, we will learn about one of the most important concepts in Calculus: Integration. We will have lecture sessions in which I will discuss the Integration strategy and then end with practice problems. I will also assign optional homework(I highly recommend doing it as it will strengthen your understanding). The sessions will be 50-70 minutes for the most part. If there are time constraints, please let me know.

Integration
1) Intro to Integrals: Definition of an Integral, Basic Integrals and Reverse Power rule
2) U-sub
3) Integration by Parts and Improper Integrals
4) Trig-products
5) Trig-sub and Quadratic Expressions
6) Partial Fraction Integration

In order to understand the content, you should have a good grasp on limits, differentiation, Riemann Sums(helpful if you know them but I can go over them before we start Integration). Other than this, be ready to have lots of fun while learning an amazing section of math!!

About Me: I am a rising senior. I took AP Calculus BC this past year with As. My favorite topic was integration so I am really excited to do this with everyone!

Tutored by

Shiven B 🇺🇸

Certified in 1 topic

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I am a high schooler from the Bay Area in California. In my free time, I enjoy playing soccer, badminton, biking with friends, and playing violin.

Schedule

✋ ATTENDANCE POLICY

Please try not to miss more than 2 sessions in a row because you may fall behind in understanding. The sessions somewhat build off each other. If you absolutely need to, please let me know beforehand. I understand its summer vacation for some and you may be travelling, but let me know so I can review session for you.

SESSION 1

17

Jul

SESSION 1

Orientation

Mon 1:00 AM - 1:30 AM UTCJul 17, 1:00 AM - 1:30 AM UTC

We will introduce ourselves and go over the "Syllabus" for this course. We will play a fun ice breaker game at the end!!

SESSION 2

17

Jul

SESSION 2

Integration and accumulation of change

Mon 11:30 PM - Tue, 12:20 AM UTCJul 17, 11:30 PM - Jul 18, 12:20 AM UTC

We will start off with an introduction to Integration. If needed, I will go over Riemann Sums to give you an intuition behind integrals. After which, we will discuss common integrals and the reverse power rule. We will then finish with a few practice problems.

I will also assign some homework so you can refresh the concepts before the next session.

SESSION 3

18

Jul

SESSION 3

Integration and accumulation of change

Tue 11:30 PM - Wed, 12:40 AM UTCJul 18, 11:30 PM - Jul 19, 12:40 AM UTC

We will go over any questions on homework. If we are not able to answer them all, I will schedule an Office Hours session.
We will start off with a review the content from the last session: common integrals and reverse power rule.
We will then move on to our next topic: Integration using U-sub, a very important technique that will make our lives much easier when it comes to integrals.
Once again, we will finish with practice problems.

I will also assign some homework so you can refresh the concepts before the next session.

SESSION 4

20

Jul

SESSION 4

Integration and accumulation of change

Thu 11:30 PM - Fri, 12:40 AM UTCJul 20, 11:30 PM - Jul 21, 12:40 AM UTC

We will go over any questions on homework. If we are not able to answer them all, I will schedule an Office Hours session.
We will start with a review of U-sub.
We will then move on to the topic of Integration by Parts. After our discussion, we will do a few practice problems and then move on to Improper integrals. At the end we will do practice problems for this topic as well.

I will also assign some homework so you can refresh the concepts before the next session.

SESSION 5

24

Jul

SESSION 5

Integration and accumulation of change

Mon 11:30 PM - Tue, 12:50 AM UTCJul 24, 11:30 PM - Jul 25, 12:50 AM UTC

We will go over any questions on homework. If we are not able to answer them all, I will schedule an Office Hours session.
This session is a little longer because we will do more review of the last session's topics as there has been a more extended break in between sessions. After which we will move on to Trig-product. This technique will allow us to elegantly solve integrals with ugly trig function multiplications. We will finish with some practice problems.

I will also assign some homework so you can refresh the concepts before the next session.

Public Discussion

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Jul 17 - Jul 25

2 weeks

30 - 80 mins

/ session

SCHEDULE

Mondays

1:00AM

Mondays

11:30PM

Tuesdays

11:30PM

Thursdays

11:30PM