For each date, you will find the homework assignment that is due that day and the key topics that are covered that day.
This schedule is approximate and subject to change!

• Syllabus discussion.
• Functions
• Piecewise-defined functions
• Using your calculator, Wolfram Alpha, Mathematica, Desmos.com
• Notes from class '

• Email me at chanusa@qc.cuny.edu with the following four things.: (1) Your name, (2) Your class (Math 141) (3) the email address where you are best contacted, (4) your graduation year.
• 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 on Blackboard. Retake the quiz as necessary to earn a score of 100%.
• Read through Section 1.1.
• 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.
  1. graph of a function
  2. an odd function
  3. coefficient of a polynomial
  Bring this piece of paper to class Tuesday 9/2.
• Look at the diagnostic tests A through D on pages xvii through xxii. Can you do those questions in your sleep? If you're not sure, then test yourself by sitting down and completing part (a) of every question like it is an exam. If you feel shaky or get many incorrect, you should strongly consider taking Math 122 instead of Math 141.
• Complete book problems: (bold problems are especially encouraged!)
  • Chapter 1.1: 7, 9, 11, 19, 20, 21, 23, 25, 31, 35, 43, 45, 47, 52
  • Chapter 1.2: 1, 5, 6, 11, 13
  (We may have time to go over one problem in class, so bring your questions to class.)
• Skim through Sections 1.2 and 1.3 to prepare for Tuesday's lecture material.

• Recap / Homework Discussion
• Think Pair Share & Discussion
• Transformations of functions
• Composition of functions
• Intuitive understanding of a limit of a function
• Notes from class

• Log onto Webwork. Complete the first homework assignment there on functions. Recall that your user name is your CAMS ID and your initial password is your CUNYFirst ID.
• Complete the definition exercise (like last time) for:
  1. an increasing function
  2. a rational function
  3. composition of f and g
• Complete book problems from Sections 1.2 and 1.3. I am also including some challenge questions. These are good questions to test your understanding of the concepts. I am happy to discuss them in office hours, but we will not take the time to discuss them in class.
  • Chapter 1.2: 19, 21, 27, 35, 38, 41, 47, 49, 51, 55. Challenge Questions: 62, 63, 66
  • Chapter 1.3: 2
• Read Sections 1.3 and 1.4 to prepare for Thursday's lecture material.

• Recap / Homework Discussion
• Think Pair Share & Discussion
• Limit of a function
• Limits with your calculator
• Intuition about limits can be wrong
• Precise definition of a limit

• Start your second assignment on Webwork about limits.
• Complete the definition exercise for:
  1. limit of a function (See page 25)
  2. precise definition of a limit (See page 31)
• Complete book problems from Section 1.3. Bring your questions to class for discussion!
  • Chapter 1.3: 3, 6, 7, 11, 15, 19, 23, 24
• Read Section 1.4 to prepare for Tuesday's lecture material.

• Recap / Homework Discussion
• Think Pair Share & Discussion
• Calculating limits
• Squeeze Theorem

• Complete the second assignment on Webwork.
• Complete the definition exercise for:
  1. The Power Laws
  2. The Direct Substitution Property
  3. The Squeeze Theorem
• Complete book problems from Sections 1.4 and 1.5. Bring your questions to class!
• Chapter 1.4: 1, 7, 9, 10, 11-27 (odd), 31, 33, 35, 43, 44, 49, 51, 57, 63 Challenge Questions: 45, 58, 66
• Read Section 1.5 to prepare for Thursday's lecture material.

• Recap / Homework Discussion
• Think Pair Share & Discussion
• Continuous function
• Types of discontinuities
• Proving continuity
• Intermediate Value Theorem

• Start the third assignment on Webwork.
• Complete the definition exercise for:
  1. continuity at a point
  2. a continuous function
  3. The Intermediate Value Theorem
• Complete book problems from Section 1.5. Bring your questions to class!
• Chapter 1.5: 1, 2, 3, 7, 8, 10, 13, 14, 16, 19, 25, 29, 31, 34, 37, 39, 41 Challenge Questions: 47, 49, 51
• Read Section 1.6 to prepare for Tuesday's lecture material.

• Recap / Homework Discussion
• Limits involving infinity
• Limits at infinity
• Asymptotes
• Think Pair Share & Discussion

• The first exam of the semester will take place in class on Thursday, September 18 Tuesday, September 30.
• The exam covers Sections 1.1–1.6.
• Here are more details about the first exam.
• My students often ask for an example of the style of exam that I am liable to give. I am including a practice exam. The topics covered by the exam are the same topics, but you should expect your exam to be very different because there are many ways for me to ask questions that test your knowledge on these topics.
  Disclaimer: By clicking on the link provided, you agree to the following terms. This exam is given for informational purposes only. No guarantees of similarity are assured. All material discussed below is fair game for the exam; study everything. If you agree to these terms, click here for a practice exam.

• Complete the third homework assignment on Webwork about continuity and limits at infinity.
• Complete the definition exercise for:
  1. horizontal asymptote
  2. vertical asymptote
  3. infinite limit
  4. limit at infinity
• Complete the book problems for Section 1.6. Bring your questions to class!
  • Chapter 1.6: 1, 5, 8, 9, 13, 15, 18, 19, 20, 21, 25, 27, 33, 34, 35, 45, 46 Challenge Questions: 43, 49
• Prepare for Exam 1. (See below for details and advice.)
• I strongly suggest starting to work on the Chapter 1 review on Pages 70-72

• Homework Discussion
• Question and Answer Session
• Discussion: How to study for an exam

• Study!

• Exam 1

• Read Section 2.1 to prepare for Thursday's lecture material.

• Motivating discussion
• Tangent Lines, Secant Lines
• Different types of velocity
• Derivatives
• Rates of Change
• Think Pair Share & Discussion

• Start the fourth assignment on Webwork.
• 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 book problems from Section 2.1. Bring your questions to class!
  • Chapter 2.1: 3, 7, 10, 14, 15, 16, 19, 20, 25, 27, 29, 31, 35, 37, 43 Challenge Question: 49
• Read Section 2.2 to prepare for Tuesday's lecture material.

• Recap / Homework Discussion
• The derivative as a function (Mathematica Worksheet)
• Differentiability
• Notation
• Higher derivatives
• Think Pair Share & Discussion

• Continue work on the fourth assignment on Webwork.
• Complete the definition exercise for:
  1. a differentiable function
  2. vertical tangent line
  3. the second derivative of f
• Complete book problems from Section 2.2. Bring your questions to class!
  • Chapter 2.2: 1, 3, 5, 11, 13, 19, 21, 23, 25, 33, 36, 39 Challenge Question: 48, 49
• Read Sections 2.3 and 2.4 to prepare for Thursday's lecture material.

• Recap / Homework Discussion
• Simple differentiation formulas
• Product, Quotient Rules
• Trigonometric derivatives

• Complete the fourth assignment on Webwork.
• Complete the definition exercise for:
  1. General version of the power rule
  2. constant multiple rule
  3. marginal cost
• Complete book problems from Section 2.3. Bring your questions to class!
  • Chapter 2.3: 1-25 (odd), 29, 31, 32, 37, 40, 45, 52, 53, 63 Challenge Question: 59, 67
• Read Section 2.5 to prepare for Tuesday's lecture material.

• Recap / Homework Discussion
• The chain rule

• Start the fifth assignment on Webwork.
• Complete the definition exercise for:
  1. Product rule
  2. Quotient rule
• Complete book problems from Sections 2.4. Bring your questions to class!
  • Chapter 2.4:1, 3-25 (odd), 27, 33, 36, 37, 43, 46, 47 Challenge Question: 51, 55
• Reread Section 2.5 to prepare for Thursday's lecture material.

• Recap / Homework Discussion
• The chain rule

• Complete the fifth assignment on Webwork.
• Complete the definition exercise for:
  1. chain rule
• Complete book problems from Section 2.5. Bring your questions to class!
  • Chapter 2.5: 1-45 (odd), 51, 53, 55, 57, 59, 63, 65 Challenge Question: 74, 76
• Read Section 2.6 to prepare for Tuesday's lecture material.

• Recap / Homework Discussion
• Implicit differentiation
• Using a calculator to find implicit function values

• Start work on the sixth assignment on Webwork.
• Complete the definition exercise for:
  1. implicitly defined function
• Complete book problems from Sections 2.6. Bring your questions to class!
  • Chapter 2.6: 1-27 (odd), 31, 32, 42 Challenge Question: 37, 49
• Read Section 2.7 to prepare for Thursday's lecture material.

• Recap / Homework Discussion
• Related Rates

• The second exam of the semester will take place in class on Thursday, October 30.
• The exam covers Sections 2.1–2.7.
• Here are more details about the second exam.
• I have also compiled a practice exam. Once again, the topics covered by the exam are the same topics, but you should expect your exam to be very different because there are many ways for me to ask questions that test your knowledge on these topics.
  Disclaimer: By clicking on the link provided, you agree to the following terms. This exam is given for informational purposes only. No guarantees of similarity are assured. All material discussed below is fair game for the exam; study everything. If you agree to these terms, click here for a practice exam.

• Complete the sixth homework assignment on Webwork.
• Complete the definition exercise for:
  1. related rates
• Complete the book problems for Section 2.7. Bring your questions to class!
  • Chapter 2.7: 1-29 (odd) Challenge Questions: 38, 41
• Prepare for Exam 2. (See below for details and advice.)
• I strongly suggest the Chapter 2 review on Pages 140-143

• Homework Discussion
• Question and Answer Session

• Study!

• Exam 2

• Read Section 2.8 to prepare for class.

• Linear Approximations
• Differentials
• Think Pair Share & Discussion

• Start the seventh assignment on Webwork.
• Complete the definition exercise for:
  1. linear approximation
  2. differential
• Complete book problems from Section 2.8. Bring your questions to class!
  • Chapter 2.8: 3, 5, 8, 9, 13, 15, 19, 21, 24, 27 Challenge Questions: 29, 28
• Read Section 3.1 to prepare for class.

• Recap / Homework Discussion
• Maximum and minimum values
• Absolute extrema, local extrema
• Extreme Value Theorem
• Fermat's theorem
• Critical number

• Complete the definition exercise for:
  1. absolute maximum
  2. local maximum
  3. Extreme value theorem
• Complete book problems from Section 3.1. Bring your questions to class!
  • Chapter 3.1: 2, 4, 5, 9, 10, 11, 13, 15, 17, 21, 23, 29, 31, 33, 35, 37, 41, 43, 49, 51 Challenge Question: 56, 57, 60
• Read Section 3.2 to prepare for class.

• Recap / Homework Discussion
• Rolle's Theorem
• The Mean Value Theorem
• Think Pair Share & Discussion

• Complete the seventh assignment on Webwork.
• Complete the definition exercise for:
  1. critical number
  2. Rolle's Theorem
  3. The Mean Value Theorem
• Complete book problems from Section 3.2. Bring your questions to class!
  • Chapter 3.2: 1, 3, 5, 6, 7, 9, 13, 14, 15, 17, 22, 23, 25, 33 Challenge Questions: 20, 28, 34
• Read Section 3.3 to prepare for class.

• Recap / Homework Discussion
• Increasing and decreasing
• Concave upward and concave downward

• Start the eighth assignment on Webwork.
• 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!
  • Chapter 3.3: 1, 3, 5, 7, 11, 12, 13, 14, 15, 17, 19, 21-35 (odd), 37, 42, 49 Challenge Question: 38, 45, 47
• Read Sections 3.3 and 3.4 to prepare for class.

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

• Complete book problems from Sections 3.4. Bring your questions to class!
  • Chapter 3.4: 1, 5, 9, 15, 17, 21, 27, 29
• Reread Section 3.4 to prepare for class.

• Recap / Homework Discussion
• Curve sketching practice

• Complete the definition exercise for:
  1. Second derivative test
  2. even function, odd function
  3. periodic function
• Complete the eighth assignment on Webwork.
• Complete book problems from Section 3.4. Bring your questions to class!
  • Chapter 3.4: 33, 38, 45, 48, 49, 53, Challenge Questions: 37, 39, 43, 56
• Read Section 3.5 to prepare for class.

• Recap / Homework Discussion
• Optimization

• Start work on the ninth assignment on Webwork.
• Complete the definition exercise for:
  1. first derivative test for absolute extreme values
• Complete book problems from Section 3.5. Bring your questions to class!
  • Chapter 3.5: 3, 5, 9, 11, 13, 14, 15, 19, 25, 27, 29, 32, 35, 37, 38, 39, 45, 53, 56, Challenge Questions: 50, 52, 54
• Reread Section 3.5 to prepare for Thursday's lecture material.

• Recap / Homework Discussion
• Optimization Practice

• The third exam of the semester will take place in class on Tuesday, December 9.
• The exam covers Sections 2.8 and 3.1–3.5.
• Here are more details about the third exam.
• I have also compiled a practice exam. Once again, the topics covered by the exam are the same topics, but you should expect your exam to be very different because there are many ways for me to ask questions that test your knowledge on these topics.
  Disclaimer: By clicking on the link provided, you agree to the following terms. This exam is given for informational purposes only. No guarantees of similarity are assured. All material discussed below is fair game for the exam; study everything. If you agree to these terms, click here for a practice exam.

• Complete the ninth homework assignment on Webwork.
• Complete the book problems for Section 3.5. Bring your questions to class!
  • Chapter 3.5: Practice more problems from this section.
• Prepare for Exam 3. (See below for details and advice.)
• I strongly suggest the Chapter 3 review on Pages 195-198

• Homework Discussion
• Question and Answer Session

• Study!

• Exam 3

• Semester Review for Final Exam.

• Final Exam