Calculus II, Spring 2020
Course Content

Check back often for homework assignments, tutorials, and key topics covered each day.
This schedule is approximate and subject to change!

Sections 3.7, 4.1, and Appendix B (3 classes)
Monday, January 27
In class:
Wednesday, January 29
Before class:
  • Get access to a copy of our textbook (Essential Calculus) for this semester.
  • Read through Section 3.7 and the notes you took in class to revisit the material from Monday.
  • Fill out this quick First Day Survey. I will use your information in order to contact you during the semester, create your Gradesly login, and to learn more about your background.
  • Thoroughly read the class web page including the syllabus and schedule. This should answer all the questions that you may have about the class.
  • Take the Syllabus Quiz. Retake the quiz as many times as necessary to earn a score of 100%.
  • Make sure you are able to log onto WebWork. Find our class and log in with your short QC username IN ALL LOWER CASE (like alastname123 for "Alicia Lastname") and use your CAMS password. (If you've forgotten your username and/or password go to https://cams.qc.cuny.edu/.) If you are having trouble logging in, send me an email at chanusa@qc.cuny.edu with your CUNYFirst ID number and your short QC username.
  • On WebWork, complete the Homework Assignment for Section 3.7. If you feel very shaky or get many incorrect, you should strongly consider taking Math 141 instead of Math 142.
  • Skim through Appendix B: Sigma Notation in the book to prepare for the lecture material on Wednesday.
  • Watch this Khan Academy video about sigma notation.
In class:
  • Assessment Question on Standard 1 (Differentiation Skills).
  • Think Pair Share & Discussion
  • Appendix B: Sigma Notation
  • Section 4.1: Areas and Distances
Monday, February 3
Before class:
  • Read through Appendix B and the notes you took in class to revisit the material from last session.
  • Fill out this Doodle. Select every time period when you are available to come to office hours this semester. I will try to choose times that work for most people.
  • Complete the homework assignment on WebWork about Appendix B.
  • In your class notebook, complete the following assignment.
    For each of the following terms, write down on a piece of paper:
    (a) The precise definition given in the book
    (b) A sentence or two explaining what the definition means to you
    (c) An example of something satisfying the definition
    (d) An example of something not satisfying the definition (A "non-example".)
    1. antiderivative of a function
    2. differential equation
    Here is an example of what I am looking for if the term were "domain and range of a function". Bring this piece of paper to class Monday, February 3.
  • Skim Section 4.1 to prepare for the lecture material.
In class:
  • Homework Discussion
  • Precise Definition Discussion
  • Think Pair Share & Discussion
  • Section 4.1: Areas
  • Section 4.2: Riemann Sums
Sections 4.2 and 4.3 (3 classes)
Wednesday, February 5
Before class:
  • Complete the homework assignment on WebWork about Section 4.1.
  • Skim Section 4.2 to prepare for the lecture material.
  • Make sure you bring your calculator to class.
In class:
  • Homework Discussion
  • Section 4.2: Definite Integrals
  • Section 4.3: Evaluating Definite Integrals
Monday, February 10
Before class:
  • Work outside of class on calculus for one hour with at least one classmate. Write one paragraph about something that you learned or experienced that you would not have if you had worked alone. Also write down the name of the person you met with and when you met! I will collect this paragraph Monday. This is the first of a set of group work paragraphs that will contribute to your Standard 9 score.
  • Make sure you are able to log onto Gradesly. You will be receiving an email sent to the email address you provided on the First Day Survey with log in information.
  • Complete the homework assignment on WebWork. (Including parts of Section 4.2.)
  • Skim pages 218–220 and 223–227 to prepare for the lecture material.
In class:
  • Assessment 1. The Standards that will be assessed are 2 (Definitions), 3 (Sigma Notation), and 4 (Riemann Sums).
  • Homework Discussion
  • Section 4.3: Evaluating Definite Integrals
No class on Wednesday, February 12 or Monday, February 17.
Wednesday, February 19
Before class:
  • Practice taking integrals!
  • Complete the homework assignment on WebWork. (Includes parts of Section 4.3.)
  • Here are some Khan Academy self tests: Reverse Power Rule and Integrating Sin and Cos
  • Skim pages 206–208, 228–230, and 246–247 to prepare for the lecture material.
In class:
  • Homework Discussion
  • Technology resources: Your calculator, Wolfram Alpha, Mathematica, Desmos.com
  • Using your calculator to calculate sums
  • Using a calculator and computer for integrals
  • Section 4.2: Properties of Definite Integrals
  • Section 4.3: Evaluating Definite Integrals
  • Section 4.5: Integrals of Symmetric Functions
Theorems and Section 4.4 (3 classes)
Monday, February 24
Before class:
  • Practice using your calculator to evaluate Riemann Sums.
  • Practice using your calculator to get numerical solutions to integrals.
  • Complete the homework assignment on WebWork. (Sections 4.2 and 4.3)
  • Remember to send me an email by Sunday 2/23 if you wish to reassess any of the 4 standards so far.
  • Work outside of class on calculus for one hour with at least one classmate. Write one paragraph in which you reflect on an experience you have had with making mistakes and failing in a math class that has helped you in your learning process. Share this experience with your classmates. Add one or two sentences to your writeup reflecting on what you learned from the experiences your classmates shared. Also write down the name of the people you met with and when you met! Bring this piece of paper to class for Prof. Chris to collect. This is the second of a set of group work paragraphs that will contribute to your Standard 9 score.
In class:
  • Homework discussion
  • Section 4.1: The Distance Problem
  • What is a Theorem?
Wednesday, February 26
Before class:
  • Prepare for Assessment 2.
  • Complete the homework assignment on WebWork. (Sections 4.1 and 4.3)
  • For each of the theorems
    1. Theorem 4.2.3 (p212)
    2. The Evaluation Theorem (p224)
    3. Theorem 4.5.6(b) (p246)
    do the following:
    (a) Write down the precise statement of the theorem given in the book
    (b) Highlight in one color the hypotheses of the theorem and highlight in another color the conclusion of the theorem.
    (c) An example of something that does satisfy the hypotheses of the theorem.
    (d) Explain in your own words what the theorem implies about your example in part (c).
    (e) An example of something that DOES NOT satisfy the hypotheses of the theorem.
    (f) Explain in your own words what the theorem implies about your example in part (e). Bring this piece of paper to class Wednesday 2/26.
In class:
  • Assessment 2. The Standards that will be assessed are 5 (Calculator skills), 6 (Concept of an integral), 7 (Properties of integrals), and 8 (Basic integrals).
  • Group discussion about theorems.
Monday, March 2
Before class:
  • Send me an email by Sunday to let me know which 2 of the 8 standards so far you wish to reassess and let me know when you plan to come. Take some time to study for that reassessment.
  • Skim Section 4.4 to prepare for class.
In class:
  • Homework Discussion
  • Section 4.4: The Fundamental Theorem of Calculus
  • Section 4.4: FTC Integrals, Average value and Mean value Theorem
Sections 4.5, 5.1, and 5.6 (5 classes)
Wednesday, March 4
Before class:
  • Complete the homework assignment on WebWork. (Includes parts of Section 4.4.)
  • Skim Section 4.5 to prepare for class.
In class:
  • Homework Discussion
  • Section 4.4: Average Value
  • Section 4.5: Substitution Rule
Monday, March 9
Before class:
  • Work outside of class on calculus for one hour with some classmates. Work together to study for Wednesday's assessment. Before you meet with your classmates, look through this checklist and think about all the ways in which you have studied for math classes in the past. Talk with your classmates about the ways you have studied for math classes in the past. Write a paragraph discussing which of these methods have been the most fruitful in the past and why. Also choose one NEW study technique that you (and your classmates) will try to use this semester, and include this in your paragraph too! Also write down the name of the people you met with and when you met! I will collect this writeup in class. This is the third of four weekly group work paragraphs that will count toward Standard 9.
  • Send me an email by Sunday night about which of the 8 standards so far you want to reassess and when you want to take them.
  • Complete the homework assignment on WebWork. (Includes Section 4.5.)
In class:
  • The third assessment. The Standards that will be assessed are 10 (Particle Motion), 11 (Theorems), 12 (Key Theorems), and 15 (Net Change).
  • Functions
  • Section 5.1: Inverse Functions
Wednesday, March 11
Before class:
  • Practice the substitution rule. Over and over. and over. and over.
  • Complete the homework assignment on WebWork. (Includes Section 5.1.)
  • Take the time to read through Section 5.1 (Inverse Functions) and Section 5.6 (Inverse Trigonometric Functions). We are going to discuss these sections in class.
In class:
  • One-to-one functions
  • Section 5.1: Inverse Functions
  • Section 5.6: Inverse Trigonometric Functions
Transition to Online Learning
Sign up for Google Classroom. I will be posting copies of our lectures there.
  • Activate your QC Google Apps for Education account by visiting Google Drive.
  • You will need to log in using your short QC (CAMS) username, something that looks like alastname100 for Alicia Lastname.
  • Then navigate to Google Classroom.
  • Make sure in the upper right hand corner you are logged into your QC Google account and not your personal Google account.
  • Click on the plus sign "+" in the upper right corner of the screen, and click "Join class".
  • Enter course code "ye4toao" and click "Join".
How we are holding our classes:
  • We will be holding our class at our regular class time using Google Meet.
  • To access our Google Meet session, follow one of these options:
    • Go to https://meet.google.com/fyg-udfp-gtw.
    • Download the Google Meet App onto your device and connect using the meeting code fyg-udfp-gtw
    • You can also join by phone: Call ‪+1 252-377-1173 and enter‬ PIN: ‪624 348 575‬#
  • When you join the room, please mute your microphone.
  • I will be asking you to reply to certain prompts by typing in the chat box.
  • If you want me to repeat or clarify something, please type in "Repeat" or "Clarify".
  • If you have a question or would like to speak during the session, you can type it in or simply type in "Q" or "?".
  • I may ask you to unmute yourself to communicate by voice.
  • I will record our discussions and post them in Google Classroom.
Monday, March 23
Before class:
  • Complete the homework assignment on WebWork. (Includes Sections 5.1 and 5.6.)
  • On Google Classroom, answer the question about Inverse Functions.
  • To prepare for class, read through Sections 5.1 and 5.6. We will be discussing how to take derivatives of inverse functions.
In class:
  • Discussion of your posted questions about Inverse Functions
  • Sections 5.1 and 5.6: Derivatives of Inverse Functions
Wednesday, March 25
Before class:
  • Complete the homework assignment on WebWork. (Includes More of Sections 5.1 and 5.6.)
  • On Google Classroom, answer the question about Derivatives of Inverse Functions.
  • To prepare for class, read through Sections 5.2 and 5.3. We will be discussing logarithmic and exponential functions.
In class:
  • Discussion of your posted questions about derivatives of inverse functions
  • Exponents and Logarithms: Sections 5.4, 5.3, and 5.2
Online Classes Pause: New Schedule
No classes on Monday March 30 or Wednesday April 1.

BUT: There is class on Monday, April 6 and on TUESDAY, April 7.
 
THEN: Classes will be Mondays and Wednesdays through the rest of the semester, starting April 13. (Which is no longer part of Spring Break.)
Office Hours:
I will hold office hours on Google Meet from 10-noon on Thursday, March 26 and 10-noon on Thursday, April 2. Please join to ask math questions but also if you just want to talk to another friendly face.
 
To access office hours, we're in our normal Google Meet Room. Follow one of these options:
  • Go to https://meet.google.com/fyg-udfp-gtw.
  • Download the Google Meet App onto your device and connect using the meeting code fyg-udfp-gtw
  • You can also join by phone: Call ‪+1 252-377-1173 and enter‬ PIN: ‪624 348 575‬#
Online Classes Resume
Monday, April 6
Before class:
  • Complete the homework assignment on WebWork. (Practicing exponential and logarithmic functions)
  • Ask a question on Google Classroom as a class comment to the recording from last class. Remember that contributing to these class comments is how you contribute to Standard 9 for the rest of the semester.
  • Read through Sections 5.2–5.4.
In class:
  • Homework discussion
  • Calculus of Exponentials and Logarithmic functions: Sections 5.2–5.4
  • Logarithmic Differentiation: Sections 5.2–5.4
Tuesday, April 7
Before class:
  • Complete the homework assignment on WebWork. (Calculus of exponential and logarithmic functions)
  • Ask a question on Google Classroom as a class comment to the recording from last class. Remember that contributing to these class comments is how you contribute to Standard 9 for the rest of the semester.
  • Read through Section 5.5.
In class:
  • Homework discussion
  • Exponential growth and Decay: Section 5.5
Monday, April 13
Before class:
  • Complete the homework assignment on WebWork. (Exponential Growth and Decay)
  • Spend some time to complete recent homework assignments.
  • Ask a question on Google Classroom as a class comment to the recording from last class. Remember that contributing to these class comments is how you contribute to Standard 9 for the rest of the semester.
  • Read through Section 7.7.
In class:
  • Homework Questions
  • Section 7.7: Differential Equations
Wednesday, April 15
Before class:
  • Complete the homework assignment on WebWork. (Differential Equations)
  • Ask a question on Google Classroom as a class comment to the recording from last class. Remember that contributing to these class comments is how you contribute to Standard 9 for the rest of the semester.
In class:
  • SIR Model for modeling the spread of disease, based on differential equations.
Monday, April 20
Before class:
  • I've re-opened the homework assignments on WebWork. Go through the assignments that you had trouble with and prepare some questions for discussion in class.
  • Complete some assessments and get back on track if you aren't on track. You should have shown mastery of at least 3 core standards by now. If you are aiming for an A in this class, you should have shown mastery of at least 5 additional standards by now.
  • As a reminder, you can see the scores on file for all the standards by logging into Gradesly.
  • There is a form on Google Classroom that I'd like you to fill out. Please do by Friday.
  • (Optional) Here are some resources discussing the mathematics of the spread of disease related to our discussion in class:
    • Numberphile: https://www.youtube.com/watch?v=k6nLfCbAzgo&feature=youtu.be
    • 3Blue1Brown: https://www.youtube.com/watch?v=gxAaO2rsdIs&feature=youtu.be
    • Simulation Tool: https://twitter.com/alison_l_hill/status/1239072817678823425
    • FiveThirtyEight: https://fivethirtyeight.com/features/why-its-so-freaking-hard-to-make-a-good-covid-19-model/
In class:
  • Question and Answer Session
Sections 7.1 and 7.2 (4 classes)
Wednesday, April 22
Before class:
  • Read Section 7.1 to prepare for today's class
In class:
  • Homework Discussion
  • Integrals as Slicing Mechanism: A= ∫ dA, V= ∫ dV, and L= ∫ dL
  • Section 7.1: Areas between Curves
Monday, April 27
Before class:
  • Complete the homework assignment on WebWork. (Section 7.1)
In class:
  • Section 7.2: Volume from Parallel Slices
  • Section 7.2: Disk / Washer Method
Wednesday, April 29
Before class:
  • Complete the homework assignment on WebWork. (Includes Sections 7.2.)
In class:
  • Homework Discussion
  • Section 7.3: Cylindrical Shell Method
Monday, May 4
Before class:
  • Complete the homework assignment on WebWork. (Includes Sections 7.3.)
  • Re-connect with your classmates with whom you've met outside of class during the first half of the semester. Get together virtually and talk about the discussions you had about the learning of mathematics or the standards-based approach to this semester. Has they impacted the way you study for a math class or for any other class? Will you continue to use methods you learned in the future? Write one paragraph reflecting on these questions. Submit your writeup on Monday through Google Classroom. This is the last of the group work paragraphs that will count toward Standard 9.
In class:
  • Turn in your paragraph
  • Section 7.4: Arc Length
  • Homework Questions
Wednesday, May 6
Before class:
  • Complete the homework assignment on WebWork. (Includes Sections 7.4.)
  • Prepare some questions for a Question and Answer session about Sections 7.1 through 7.4
In class:
  • Question and Answer Session about Sections 7.1 through 7.4
Monday, May 11
Before class:
  • Your task for the rest of the semester is to work on your Assessments and Re-assessments. During our normal class sessions I will hold Question and Answer sessions to answer any questions you have about the topics. I want you to learn the material and show me your mastery!
In class:
  • Question and Answer Session
Wednesday, May 13
Before class:
  • Please fill out the college-wide course evaluations, distinct from the course evaluations that will be given out in class. Thank you for your feedback!
In class:
  • Question and Answer Session