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

• Visit Flipgrid and record a 1-minute introductory video about yourself. Click on "Join with Microsoft" and use your Queens College Office 365 account email account to log in. Reminder: that will look something like Alicia.Lastname25@qmail.cuny.edu.
• Go to our Campuswire Community. Sign up for an account and sign in using code 8426. In the Class Feed there is a post asking you to say hi and share a fun link. Please contribute.
• Last, Create a CUNY account with Zoom so you can join our class session. The link is in the introductory email sent to your qmail account.
• Get pumped to join us at 9:15am on Wednesday, August 25!

• Today we are setting the stage for a thought-provoking semester.
• Need to Know List
• Course Expectations & Syllabus Discussion
• Discussion: What is a function?

• Make sure your Vaccination Information is confirmed in CUNYFirst and that you have your QCard so that you have access to campus! Contact keeplearning@qc.cuny.edu if you are running into issues with either.
• Make sure you have made an account with our Campuswire Community.
• Make sure you are able to log onto WebWork. 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 First and Last Names, your CUNYFirst ID number, and your CAMS username.
• On WebWork, complete the Orientation Assignment and the Pre-calculus Review Assignment. If you feel very shaky or get many incorrect on the precalculus assignment, you should strongly consider taking Math 122 instead of Math 141. Set up an appointment with me to discuss.
• Thoroughly read the class web page including the syllabus and schedule. This should answer all the questions that you may have about the class. Next, take the syllabus quiz. RETAKE the quiz as many times as necessary to earn a score of 100%.
• Skim through Sections 1.1 and 1.2 of the book to prepare for class Monday.

• Functions and Function Properties
• Piecewise-defined functions
• Transformations of functions
• Special functions: Linear, polynomial, power, trigonometric, exponential, logarithmic
• Transformations of functions
• Composition of functions
• Using your calculator, Wolfram Alpha, Mathematica, Desmos.com

• Go back over Sections 1.1 and 1.2.
• Complete the assignment on WebWork labeled Function Practice.
• 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 the term.
  (d) A non-example of the term.
  1. graph of a function
  2. an increasing function
  3. a rational function
  Here is an example of what I am looking for if the term were "domain and range of a function".
• Contribute to the Daily Question for September 1 on our Campuswire Community in which you reflect on the experience of writing precise notions of definitions.
• Skim Section 1.3 to prepare for the in-class material.

• Intuitive understanding of a limit of a function
• Limit of a function
• Limits with your calculator
• Intuition about limits can be wrong
• Precise definition of a limit
• Plan to meet with another classmate to work together before Monday 9/13. Don't leave the homework for the last minute!

• Work on calculus for one hour with at least one classmate. For example, you may want to talk about course content or work on the Webwork assignments together. Type up one paragraph (5–7 sentences) about something that you learned or experienced that you would not have if you had worked alone. Submit your paragraph and the name of the person you met with. This is the first of a set of group work paragraphs that will contribute to your Standard M1 score.
• Complete the definition exercise for:
  1. composition of f and g
  2. limit of a function (See page 25)
  3. precise definition of a limit (See page 31)
  Compare your answers with your classmates to make sure you all agree. You do not need to bring this in to class; keep it for your own understanding.
• Complete the homework assignment on WebWork about Standard L1.
• Complete the additional book problems from Section 1.3. If you have questions about any of the WebWork questions or book problems, ask them on the Campuswire Community.
• Contribute to the Daily Question for September 13 on our Campuswire Community about the most interesting, engaging, or confusing part about our discussion of Section 1.3.
• Read Section 1.4 to prepare for the class material.

• Homework Discussion
• Calculating limits

• I sent an email to everyone on Thursday 9/16; make sure you've read it.
• Complete the homework assignment on WebWork for Standard L2. (This one has many parts!)
• Complete the definition exercise for:
  1. the direct substitution property
• Sometime this week you are expected to contribute a question or answer about homework questions or content from class in the Class Feed of our Campuswire community.
• Complete the additional book problems from Section 1.4.
• Read Section 1.5 to prepare for the class material.
• Remember to sign up for office hours if you want to talk about homework or course material.

• Homework Discussion
• Continuous function
• Types of discontinuities
• Proving continuity or discontinuity

• Complete the homework assignment on WebWork about Standard L3.
• Complete the definition exercise for:
  1. continuity at a point
  2. a continuous function
• If you didn't post a question (or answer) earlier this week, contribute a question (or answer) about limits or continuity in our Campuswire community.
• Read pages 41–43 in Section 1.4 about the Squeeze Theorem, and pages 52–53 in Section 1.5 about the Intermediate Value Theorem to prepare for class.

• Recap / Homework Discussion
• What is a theorem?
• Squeeze Theorem
• Proving that the limit as x→0 of sin(x)/x is 1.
• Intermediate Value Theorem
• Proving that an equation has a root.

• Complete the homework assignment on WebWork about Standard L3.
• Choose one of the following types of example and come up with (specific functions, points, intervals, and/or numbers) that satisfy the desired condition.
  • An example of three functions f, g, and h and a choice of x=a that satisfy the hypotheses of The Squeeze Theorem.
  • An example of three functions f, g, and h and a choice of x=a that do not satisfy the hypotheses of The Squeeze Theorem.
  • An example of a function f, an interval [a,b], and a number N that satisfy the hypotheses of The Intermediate Value Theorem.
  • An example of a function f, an interval [a,b], and a number N that do not satisfy the hypotheses of The Intermediate Value Theorem.
  Next, Contribute to the Daily Question for September 27 on Campuswire with the following information.
  • Which type of example are you contributing?
  • What specific functions, points, intervals, and/or numbers satisfies the desired condition?
  • Give a multi-sentence justification of why your example satisfies what is desired.
  • What does the Squeeze Theorem or Intermediate Value Theorem say about your specific situation?
  You may work in a group to answer this question. If you do so, your group only needs to submit one answer. Make sure you include the names of who worked together.
• Read Section 1.6 to prepare for the lecture material.

• Recap / Homework Discussion
• Limits involving infinity
• Limits at infinity

• Complete the definition exercise for:
  1. horizontal asymptote
  2. vertical asymptote
  3. infinite limit
  4. limit at infinity
• Complete the homework assignment on WebWork about Standard M3.
• Read Section 1.6 to prepare for the lecture material.
• Complete book problems through Section 1.5.

• Asymptotes
• Tangent Lines, Secant Lines

• Complete the homework assignment on WebWork about Standard L4.
• We have now completed all the material in Chapter 1 of the textbook. Go to the Chapter 1 review (on pages 70–72 of the Second Edition). Answer the True-False quiz there. Convince yourself you are correct for those questions. If you are less than 100% sure of your answer, put a little star next to your answer.
• Work on calculus for one hour with at least one classmate. Schedule a meeting to discuss your answers to the True-False questions. If you have a disagreement, try to iron out the differences. If you put a little star next to a question, discuss these questions to try to get to 100% certainty. During this process you are working to justify your understanding as clearly as possible. At the end of this process, you should reflect on the ways in which you tried to explain your understanding and the ways in which your partner(s) tried to explain their understanding. Which types of explanations or discussions are the most fruitful? Which ones are the least fruitful? Type up one paragraph (5–7 sentences) explaining a disagreement that arose during your discussion, and write about how you worked to resolve your differences in understanding. Submit your paragraph and the name of the person you met with. This is the first of a set of group work paragraphs that will contribute to your Standard M1 score.
• Read Section 2.1 to prepare for the lecture material.
• Complete book problems through Section 1.6.

• Motivating discussion
• Tangent Lines, Secant Lines
• Different types of velocity
• Derivatives

• Complete the definition exercise for:
  1. tangent line to a curve
  2. instantaneous velocity
  3. derivative of a function f at a number a.
• Complete the book problems for Section 2.1.
• If you get stuck somewhere, ask a question about content so far on our Campuswire community.
• Read Section 2.2 to prepare for the lecture material.

• Rates of change
• The derivative as a function
• Differentiability
• Notation
• Higher derivatives

• Complete the homework assignments on WebWork for Standards L5 and D1.
• Complete the definition exercise for:
  1. a differentiable function
  2. vertical tangent line
  3. the second derivative of f
• For class today you need to bring in your answers to the following definition exercises:
  1. limit of a function at a point (See page 25)
  2. continuity at a point
  3. horizontal asymptote
  4. instantaneous velocity
  5. derivative of a function f at a number a.
  6. vertical tangent line
• Complete book problems from Section 2.2.
• Read Section 2.3 to prepare for the lecture material.

• Get to meet some classmates in person!
• Group assessment on M2 – You and your groupmates will show that you are able to complete the definition exercise from one of the examples above.
• Discussion about assessments going forward.

• Complete, on your own, this assessment involving Standards L1 through L5. Bring your solutions to class.
• Catch up on your WebWork assignments.

• Class exploration of simple derivative rules:
• Derivatives of constants and powers
• Constant multiples, sums, differences
• Derivatives of sine and cosine
• Product and Quotient Rules

• Complete the WebWork assignments on Standard D2.
• Prepare for a written assessment on Standard D2.
• Complete book problems from Section 2.3. Post questions you have to Campuswire.
• Read Sections 2.4 and 2.5 to prepare for the lecture material.

• Recap / Homework Discussion
• Product and Quotient Rule
• The Chain Rule
• (5 minutes) Written assessment on Standard D2.

• Complete, on your own, your reassessment of the take-home assessment on Standards L1 through L5. Bring your solutions to class.
• Work outside of class on calculus for one hour with some classmates. You may want to work on today's Webwork and preparing for today's assessments. 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. When you meet, discuss these study methods. Type up one paragraph (5–7 sentences) 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. Submit your paragraph and the name of the person you met with. This is the third of four weekly group work paragraphs that will count toward Standard M1.
• Complete the WebWork assignments on Standard D3.
• Prepare for a written assessment on Standards D1 and D2.
• Complete book problems from Section 2.4. Post questions you have to Campuswire.
• Read Section 2.5 to prepare for the lecture material.

• Turn in your reassessment of Standards L1 through L5
• Discussion of your questions on Webwork D3
• The Chain Rule
• Groupwork on Derivative Computations
• (15 minutes) Written assessment of Standard D1 and Reassessment of Standard D2.

• Complete the WebWork assignment on Standard D3 and start the assignment on Standard D4.
• Work on the book problems from Section 2.5.

• Discussion of your questions on Webwork D4
• Group work on Product, Quotient, and Chain Rules

• Complete the WebWork assignments on Standard D4.
• Complete book problems from Sections 2.5.
• Read Section 2.6 to prepare for the lecture material.
• Prepare for an assessment on Standards D3 and D4.
• Choose a standard that you would like to reassess from this semester and prepare to complete a written reassessment about it in class.
• If you want to revise and resubmit the take-home assessment on Standards L1 through L5, bring your revision to class.

• Discussion of your questions on Webwork D4
• Implicit Differentiation
• (25 minutes) Written assessment of Standards D3 and D4 and a reassessment of another standard of your choice.

• Complete the definition exercise for:
  1. implicitly defined function
• Complete the WebWork assignments on Standard D5.
• Bring in your written answers to the theorem exercise from September 27 about the Squeeze Theorem and/or the Intermediate Value Theorem
• Complete book problems from Sections 2.6.
• Read Section 2.7 to prepare for the lecture material.

• Discussion of your questions on Webwork D5
• Group assessment on Standard M3 - You and your groupmates will show that you are able to complete the theorem exercise from September 27.

• Post a response on Campuswire to the Daily Question for November 8 to let me know something you are confused about or would like to discuss further.
• Study to improve your understanding of a standard from this class and prepare to take one or two reassessments on Monday after class. (Before class is also possible if we agree on that beforehand.) Alternatively, schedule another time to take a reassessment this week.
• Future reassessments of L1 through L5 will be done as for other standards—You will have new questions to show me that you understand the material. Alternatively, you may schedule a time during office hours to carefully explain answers to the original assessment; written answers to the original assessment will no longer be accepted on their own.

• Related Rates
• Groupwork on Related Rates

• Write in your notebook the steps involved in related rates questions, and practice many of the book problems from Section 2.7.
• Complete the WebWork assignment on Standard A1.
• Bring your questions to class!
• Reassessments can be taken today after class or during "Free Hour" from 12:15-1:15 in Kiely Tower Room 606. If you need a different time, let Prof. Hanusa know and we'll figure it out.
• Read Section 2.8 to prepare for class.

• Homework Discussion
• Linear Approximations
• Differentials

• Complete the definition exercise for:
  1. linear approximation
  2. differential
• Complete the WebWork assignment on Standard A2.
• Prepare for an assessment on Standards D5 and A1.
• Reassessments can be taken today after class or during "Free Hour" from 12:15-1:15 in Kiely Tower Room 606. If you need a different time, let Prof. Hanusa know and we'll figure it out.
• Read Section 3.1 to prepare for class.

• Homework Discussion
• Maximum and minimum values
• Absolute extrema, local extrema
• Extreme Value Theorem
• Fermat's theorem
• Critical number
• (30 minutes) Assessment on Standards D5 and A1.

• Complete the definition exercise for:
  1. absolute maximum
  2. local maximum
  3. Extreme value theorem
  4. critical number
• Start the WebWork assignment on Standard A3.
• Start the book homework for Section 3.1.
• Read Section 3.2 to prepare for class.

• Recap / Homework Discussion
• Group Discussion about Local and Global Extrema
• Rolle's Theorem
• The Mean Value Theorem

• Complete the definition exercise for:
  1. Rolle's Theorem
  2. The Mean Value Theorem
• Complete the WebWork assignments on Standard A3 and M4.
• Complete book problems from Section 3.2.
• Prepare for an assessment on Standard A2.
• Reassessments can be taken today after class in the library but NOT during "Free Hour" from 12:15-1:15 in Kiely Tower Room 606. If you need a different time, let Prof. Hanusa know and we'll figure it out.
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• Read Section 3.3 to prepare for class.

• Recap / Homework Discussion
• Increasing and decreasing
• Concave upward and concave downward
• inflection point
• The first derivative test
• The second derivative test
• (10 minutes) Assessment of Standard A2.

• Complete the definition exercise for:
  1. First derivative test
  2. a concave upward function
  3. inflection point
• Complete book problems from Section 3.3. Bring your questions to class!
• Reassessments can be taken today after class or during "Free Hour" from 12:15-1:15 in Kiely Tower Room 606. If you need a different time, let Prof. Hanusa know and we'll figure it out.

• Recap / Homework Discussion
• inflection point
• The first derivative test
• The second derivative test
• Curve sketching
• Groupwork on curve sketching

• Complete the definition exercise for:
  1. first derivative test for absolute extreme values
• Complete the WebWork assignment on Standard A4.
• Prepare for an assessment on Standards A3 and A4.
• Read Section 3.5 to prepare for class.

• Recap / Homework Discussion
• Optimization
• (20 minutes) Assessment of Standard A3 and A4.

• Start the WebWork assignment on Standard A6.
• Read Section 3.5 to prepare for class.

• Recap / Homework Discussion
• Optimization Practice