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
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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!
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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.
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Day 6: Friday September 10th

Announcements and Agendas:

• Colleen will visit us again today at 1pm.
• Worksheet 6: More derivative and some geometry
• Solution.
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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.
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Day 8: Friday September 17th

Announcements and Agendas:

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