Calculus • Series
Make Fall Term Math Easy! A Calculus II Crash Course
UB
Ugo B
This series ended on August 12, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.
Series Details
About
This course is meant primarily for students of all ages who have a grasp on the definitions of limits, derivatives, and integrals from Calc 1. However, the lessons are open to anyone that wants to become familiar with the 5 most-discussed topics in Calc 2!
The 5 sessions I have planned are as follows:
1. Various integral evaluation techniques & suggestions for the few most useful integrals to memorize. (60 minutes)
2. Solids of revolution (60 minutes)
3. Improper integrals (60 minutes)
4. Maclaurin and Taylor Series (60 minutes)
5. Convergence and Various tests (60 minutes)
I will offer some in and out-of-lesson practice into these topics as well as a few resources (online integral calculators / extensive practice problem worksheets) that provided me tremendous help in doing well in Calc 2.
✋ ATTENDANCE POLICY
You are free to attend or skip whichever sessions you want. Please message me if you don't think you can make it.
Dates
August 2 - August 12
Learners
4 / 10
Total Sessions
6
About the Tutor
UB
Hi! I'm a student from New York specializing in Calculus AB, Calculus BC, and other math topics leading up to calculus. I am also comfortable with AP Physics Mechanics and several topics in Computer Science. In my free time, I like coding websites and biking.
View Ugo B's Profile
Upcoming Sessions
0
Past Sessions
6
2
Aug
Ic
Session 1
Integration and accumulation of change
1. U-substitutions
2. Integration by parts
3. Partial fractions / Polynomial Long Division
4. Practice with recurring integrals to memorize.
5
Aug
Ic
Session 2
Integration and accumulation of change
1. Disk Method
2. Shell Method
3. Practice
6
Aug
Ic
Session 3
Integration and accumulation of change
1. Proper notation of improper integrals
2. Special rules for evaluating these integrals
3. Practice
7
Aug
Ic
Session 4
Integration and accumulation of change
1. What are Maclaurin Series and Taylor Series?
2. Calculating these series
3. Practice with recurring series to memorize
8
Aug
Ic
Session 5
Integration and accumulation of change
1. What is convergence? What is divergence?
2. Harmonic series, alternating series, geometric series, P-series
12
Aug
Ic
Session 6
Integration and accumulation of change
1. Comparison Test
2. Ratio test
3. Limit Comparison Test
4. Error Bound Introduction