# Calculus 1

### Math 221 CD2 Merit Section - Fall 2021

Contents

- 1) Syllabus
- 2) Office hour
- 3) Class Material and Worksheets
- Day 1: Wednesday August 25th
- Day 2: Friday August 27th
- Day 3: Wednesday September 1st
- Day 4: Friday September 3rd
- Day 5: Wednesday September 8th
- Day 6: Friday September 10th
- Day 7: Wednesday September 15th
- Day 8: Friday September 17th
- Day 9: Wednesday September 22nd
- Day 10: Friday September 24th
- Day 11: Wednesday September 29th
- Day 12: Friday October 1st
- Day 13: Wednesday October 6th
- Day 14: Friday October 8th
- Day 15: Wednesday October 13th
- Day 16: Friday October 15th
- Day 17: Wednesday October 20th
- Day 18: Friday October 22th

# Welcome to Calculus 1 Section CD2!!

This is the official website for Math 221 CD2. On this website you will find all the worksheets for our merit section and also information for our course. First and foremost, please read this syllabus and ask me if any confusion arises. The grade for attendance, participation and preparation for Math 199 will appear on our Moodle page gradebook

# Office Hour

My office hours: Monday 12pm-1pm via Zoom, Wednesday 3-4pm at AH 173

You are welcome to attend other TA's office hours on Monday as well. As for merit sections, we have 3 other TAs who can help you. Their office hours are the following:

- Grace Jaffe: Friday 2-3pm via Zoom
- Justin Kelm: Monday 3-4pm via Zoom
- Connor Grady: Monday 1pm-2pm in AH173 (might change due to location reservation)

I will post the Zoom link on our Moodle page just so that we don't have to deal with "uninvited guests" who accidently stumble on this website.

# Day 1: Wednesday August 25th

## Announcements and Agendas:

- Syllabus and Policies
- Ice Breaker
- Worksheet 1: Reviewing precalculus, transcedental functions and graphs

# Day 2: Friday August 27th

## Announcements and Agendas:

- We will have a guest today. Colleen Robichaux is a sixth year math PhD student who is my merit TA mentor. She will be visiting for the first hour of our discussion session.
- Worksheet 2: Limit. Note: There will be merit worksheet for today so I hope to see more discussion than last time
- Solution

# Day 3: Wednesday September 1st

## Announcements and Agendas:

- If you wonder what mathematician's work everyday like then today is the day. You will be exposed to mathematics proof, which is something me and my friends in graduate school think about everyday. That's being said, today's worksheet is tough. I have office hour right after our session if anyone needs extra help or just want to chat about math in general.
- Worksheet 3: Limit, \(\epsilon-\delta\) definition of limit. Whiteboard is your friend today. Extend to the chalk board if needed, but today's worksheet definitely not viable by just thinking inside your head
- Solution .

# Day 4: Friday September 3rd

## Announcements and Agendas:

- Colleen will visit us again today at 2pm.
- Worksheet 4: Limit at infinity, function growth. Again, whiteboard is your friend today. Also today is the last day with the current group. You'll have new groupmates next week.
- Solution. Let me know if you have any question. I highly recommend anyone planning to pursue a degree in engineering or computer science give problem 6 a try. You will have to do this kind of calculation a lot in the future. There will be "Big-O" notation too and I'll introduce it in the future when relevant material arises. Have a great weekend! .

# Day 5: Wednesday September 8th

## Announcements and Agendas:

- New groups today. Please find you name on the designated table.
- 1st exam is next week. My tip is to study early, do as many practice problems as you can and ask questions. Remember, mathematics is more like a muscle, the more you do the better you 'll get.
- Remember to register for CBTF testing and test the technology set up. Information is on the class website.
- Worksheet 5: Limit Definition of Derivative
- Solution. .

# Day 6: Friday September 10th

## Announcements and Agendas:

- Colleen will visit us again today at 1pm.
- Worksheet 6: More derivative and some geometry
- Solution. .

# Day 7: Wednesday September 15th

## Announcements and Agendas:

- Practice exam is available until midnight. Please spend some times to practice
- I can only answer questions relating to the first 2 weeks material today. This is due to everyone exam schedule is different
- Worksheet 7: Derivative and Review
- Solution. .

# Day 8: Friday September 17th

## Announcements and Agendas:

- Worksheet 8: Chain Rule for Derivative
- Solution. .

# Day 9: Wednesday September 22nd

## Announcements and Agendas:

- Worksheet 9: Implicit Differentiation. This is an important technique in Calculus that will be used a lot in the future. I highly recommend going through the whole merit worksheet and get familiar with this topic
- Solution. .

# Day 10: Friday September 24th

## Announcements and Agendas:

- Worksheet 10: Exponential Growth and Decay. Merit worksheet is short today because there are a lot of optional exercises in the graded worksheet. I recommend everyone to try the optional problem 5 and ask me for solution if you're stuck
- Solution. .

# Day 11: Wednesday September 29th

## Announcements and Agendas:

- If you are struggling and need help with studying strategy for Calculus, Jennifer is offering a workshop on this matter today at 4pm. I highly recommend you all to attend even if you are not struggling. See in detail here
- The sample exam closes tonight, and you should be registered for examlet 2.
- Worksheet 11: Review for midterm 2
- Solution. .

# Day 12: Friday October 1st

## Announcements and Agendas:

- Related rates and derivative

# Day 13: Wednesday October 6th

## Announcements and Agendas:

- I will be asking to anonymous mid-semester feedback today. Help me help you guys in the later half of the semester
- Newton/Linear Approximation
- Worksheet 13: Linear Approximation
- Solution

# Day 14: Friday October 8th

## Announcements and Agendas:

- L'Hopital Rule and Mean Value Theorem (MVT)
- Please do not overuse this technique. It looks tempting and easily misused. In fact, you will see later on in calculus 2 that most limit at calculus level can be found by just look at power series expansion (Taylor's expansion) of the function
- Worksheet 14: L'Hopital Rule

# Day 15: Local Minimum and Maximum

## Announcements and Agendas:

- Using derivative for local maximum and minimum
- Exam 3 Review
- Worksheet 15: Exam 3 Review

# Day 16: Local Minimum and Maximum

## Announcements and Agendas:

- Second Derivative Test
- Inflection points
- Worksheet 16: Second Derivative Test

# Day 17: Optimization with constraints using derivative

## Announcements and Agendas:

- Optimization Problem
- Solving constraint and using derivative
- Worksheet 17: Optimization

# Day 18: Newton's Method

## Announcements and Agendas:

- Newton's method in finding root
- Tips on how to start finding initial guess
- Worksheet 18: Newton's Method

# Day 19: Antiderivative and Exam 4 Review

## Announcements and Agendas:

- Sigma notation for large sum
- Antiderivative
- Worksheet 19: Exam 4 Review

# Day 20: Riemann Sum

## Announcements and Agendas:

- Riemann sum
- Area underneath the curve as Riemann sum
- Worksheet 20: Riemann Sum