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

• Syllabus discussion.
• Need to Know List
• Functions
• Notes from class '

• Log onto WebAssign. Complete the first homework assignment. You have five tries to get the questions correct. If you feel shaky or get many incorrect, you should strongly consider taking Math 122 instead of Math 141.
• 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%.
• Skim through Sections 1.1 and 1.2 to prepare for the lecture material.

• Think Pair Share & Discussion
• Piecewise-defined functions
• 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 homework assignment on WebAssign about Sections 1.1 and 1.2.
• Complete the additional book problems from Sections 1.1 and 1.2.
• 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 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". Bring this piece of paper to class Wednesday 2/4.
• Skim Section 1.3 to prepare for the lecture material.

• Precise Definition Discussion
• Think Pair Share & Discussion
• 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

• 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)
  You do not need to bring this in to class; keep it for your own understanding.
• Complete the homework assignment on WebAssign about Section 1.3.
• Complete the additional book problems from Section 1.3. If you have questions about any of the WebAssign questions or book problems, bring them to class for discussion during the first half of class
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part about our discussion of Section 1.3?"
• Read Section 1.4 to prepare for the lecture material.

• Homework Discussion
• Calculating limits

• Complete the definition exercise for:
  1. The Power Laws
  2. The Direct Substitution Property
• Complete the homework assignment on WebAssign about Section 1.4. (Now due Monday, February 16, on which we have no class)
• Complete the additional book problems from Section 1.4.
• Read Section 1.5 to prepare for the lecture material.

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

• Complete the definition exercise for:
  1. continuity at a point
  2. a continuous function
  3. The Squeeze Theorem
  4. The Intermediate Value Theorem
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part about our discussion of Sections 1.4 and 1.5?"
• Read Section 1.6 to prepare for the lecture material.

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

• Complete the definition exercise for:
  1. horizontal asymptote
  2. vertical asymptote
  3. infinite limit
  4. limit at infinity
• Complete the homework assignment on WebAssign about Section 1.5.
• Complete book problems through Section 1.6.
• I strongly suggest starting to work on the Chapter 1 review on Pages 70-72 to start preparing for the exam.
• Read Section 2.1 to prepare for the lecture material.

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

• The first exam of the semester will take place in class on Monday, March 2.
• 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 the exam I gave last semester. 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 is fair game for the exam; study everything. If you agree to these terms, click here for a practice exam.

• Complete the homework assignment on WebAssign about Section 1.6.
• Complete the book problems for Section 1.6.
• Review the WebAssign questions from Sections 1.1–1.6.
• Prepare for Exam 1.
• Work through the Chapter 1 review on Pages 70-72.
• Prepare questions you have about the homework and the material from Sections 1.1–1.6 and bring them to class.
• Go online to Blackboard and suggest a topic or homework question that you would like to discuss in class.

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

• Study!

• Exam 1

• 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.
• Read Section 2.2 to prepare for the lecture material.

• The derivative as a function
• Differentiability

• Complete the definition exercise for:
  1. a differentiable function
  2. vertical tangent line
  3. the second derivative of f
• Complete the homework assignment on WebAssign about Section 2.1.
• Complete book problems from Section 2.1.
• Read Sections 2.2 and 2.3 to prepare for the lecture material.

• Notation
• Higher derivatives
• Simple derivative rules
• Trigonometric derivatives

• Complete the definition exercise for:
  1. General version of the power rule
  2. constant multiple rule
  3. marginal cost
• Complete the homework assignments on WebAssign about Sections 2.2 AND 2.3.
• Complete book problems from Sections 2.2 and 2.3. Bring your questions to class!
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part from Sections 2.1 and 2.2?"
• Read Section 2.4 to prepare for the lecture material.

• Recap / Homework Discussion
• Product, Quotient Rules
• The chain rule

• Complete the definition exercise for:
  1. Product rule
  2. Quotient rule
• Complete the homework assignment on WebAssign about Section 2.4.
• Complete book problems from Section 2.4.
• Read Section 2.5 to prepare for the lecture material.

• The chain rule

• Complete the definition exercise for:
  1. chain rule
• Complete the homework assignment on WebAssign about Section 2.5.
• Complete book problems from Section 2.5. Bring your questions to class!
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part from Sections 2.3 through 2.5?"
• Read Section 2.6 to prepare for the lecture material.

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

• Complete the definition exercise for:
  1. implicitly defined function
• Complete the homework assignment on WebAssign about Section 2.6.
• Complete book problems from Sections 2.6.
• Read Section 2.7 to prepare for the lecture material.

• Related Rates

• Complete the homework assignment on WebAssign on the first half of Section 2.7.
• Complete the first half of the book problems from Sections 2.7. Bring your questions to class!
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part from Sections 2.6 and 2.7?"
• Reread Section 2.7 and skim Section 2.8 to prepare for the lecture material.

• Recap / Homework Discussion
• Related Rates
• Linear Approximations

• The second exam of the semester will take place in class on Wednesday, April 1.
• 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 definition exercise for:
  1. related rates
• Complete the homework assignment on WebAssign on the second half of Section 2.7.
• Complete the book problems for Section 2.7. Bring your questions to class!
• Prepare for Exam 2. (See above 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

• Complete the definition exercise for:
  1. linear approximation
  2. differential
• Complete the homework assignment on WebAssign about Section 2.8.
• Complete book problems from Section 2.8.
• Read Section 3.1 to prepare for class.

• 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 the homework assignment on WebAssign about Section 3.1.
• Complete book problems from Section 3.1. Bring your questions to class!
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part from Sections 2.8 and 3.1?"
• Read Section 3.2 to prepare for class.

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

• Complete the definition exercise for:
  1. critical number
  2. Rolle's Theorem
  3. The Mean Value Theorem
• Complete the homework assignment on WebAssign about Section 3.2.
• Complete book problems from Section 3.2.
• Read Sections 3.3 and 3.4 to prepare for class.

• Increasing and decreasing
• Concave upward and concave downward
• Recap / Homework Discussion
• inflection point
• The first derivative test
• The second derivative test
• Curve sketching

• Complete the definition exercise for:
  1. First derivative test
  2. a concave upward function
  3. inflection point
• Complete the homework assignment on WebAssign about Section 3.3.
• Complete book problems from Section 3.3. Bring your questions to class!
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part from Sections 3.2 and 3.3?"
• 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 homework assignment on WebAssign about Section 3.4.
• Complete book problems from Section 3.4.
• Read Section 3.5 to prepare for class.

• Recap / Homework Discussion
• Optimization

• Complete the definition exercise for:
  1. first derivative test for absolute extreme values
• Complete the homework assignment on WebAssign about Section 3.5, Part 1.
• Complete book problems from Section 3.5. Bring your questions to class!
• Go online to Blackboard to answer a quick survey question: "What was the most confusing part from Sections 3.4 and 3.5?"
• Reread Section 3.5 to prepare for class.

• Optimization Practice

• The third exam of the semester will take place in class on Monday, May 13.
• The exam covers Sections 2.8 and 3.1–3.5.

•••••• 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! ••••••

• Complete the homework assignment on WebAssign about Section 3.5, Part 2.
• Complete the book problems for Section 3.5. Bring your questions to class!
• 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.

•••••• 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! ••••••

• Final Exam