MTH 161  CALCULUS IA
Table of Contents
 Instructors
 Textbook
 Lecture Notes
 Course Description
 Grading
 Webwork Homework
 Workshops
 Exams
 Policies, Expectations, and Additional Resources
 Schedule
Instructors
 Kyle Hambrook (khambroo@ur.rochester.edu)
 Class Time/Location:
 MW 10:25 – 11:40, Harkness 115 (CRN 31045)
 MW 2:00 – 3:15, Morey 321 (CRN 31147)
 Office Hours: Hylan 905. Mon, Wed 12:00 – 1:00, 5:00 – 6:00, or by appointment.
 Vitaly Lorman (vlorman@ur.rochester.edu)
 Class Time/Location: TuTh 9:40 – 10:55, Lattimore 201
 Office Hours: Hylan 919. Tu 11:00 – 12:00, Wed 11:00 – 12:00, Th 12:30 – 1:30, or by appointment.
 Saul Lubkin (lubkin@math.rochester.edu)
 Class Time/Location: MW 9:00 – 10:15, Bausch & Lomb 270
 Office Hours: Hylan 705. Tu 9:00 – 12:00, or by appointment.
 Yakun Xi (yxi4@math.rochester.edu)
 Class Time/Location: TuTh 3:25 – 4:40, Hutchinson 140
 Office Hours: Hylan 1019. Wed 1:30 – 3:00, Thur 1:30 – 2:30, or by appointment.
Note: Classes and office hours of all instructors are open to all MTH 161 students, regardless of which section they are registered for.
Textbook
Calculus: Early Transcendentals, 8th edition by James Stewart
Older editions of the textbook are acceptable, but section and exercise numbers in the schedule below are for the 8th edition.
Lecture Notes
Professor Hambrook’s Lecture Notes
Course Description
Offical CDCS Description
Elementary real functions: algebraic, trionometric, exponentials and their inverses and composites; their graphs, derivatives and integrals; limits, l’Hopital’s rules, Mean value theorem, maxima and minima, curve plotting. The fundamental theorem of calculus, with geometric and physical applications. This course uses the Tuesday/Thursday 08:0009:30am Common Exam time. This course cannot be taken for credit after completing any of MTH 141, 142, 143, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.
Overview
MTH 161 is designed to provide a detailed introduction to the fundamental ideas of calculus. It does not assume any prior calculus knowledge, but the student is expected to be proficient working with functions and their graphs as well as manipulating expressions involving variables and solving equations using algebra. There will be a brief review of algebra, trigonometry, and precalculus, but students are expected to have sufficient understanding of Chapter 1 and Appendices A, B, and D in the textbook.
Throughout most of this course, we will work to solve the following problem:
Given a changing quantity, how do you calculate the exact rate of change of that quantity at a given point in time?
Or, equivalently:
Given a curve in the Cartesian plane, what is the slope of the curve at any given point?
In order to solve this, we will first cover the notion of limits, as this is necessary for understanding the definition of the instantaneous rate of change, or derivative. We’ll then move on to the definition of the derivative. Even though we will learn many rules to simplify the task of calculating derivatives, there will be many times that you will be expected to use the limit definition in order to calculate the derivative of a function. We will also cover standard applications of derivatives, including answering the above questions, and all of the derivative rules. During the last few weeks of the semester, we’ll move on to answering the next big question in calculus – the area question:
Given a curve in the Cartesian plane, what is the area under the curve?
In order to solve this question, we will again use limits in approximating the area under the curve. This will lead us to the definition of the integral, which we will then relate back to the derivative using the Fundamental Theorem of Calculus. We’ll cover only a few methods for calculating integrals; other methods will be covered in Calculus IIA (MTH 162).
Objectives
At the end of this semester, you should be able to do the following:
 Calculate limits of functions; explain the relationship between a function and its graph and its limit at a point.
 Define a derivative using limits and explain its geometric significance; evaluate derivatives of various functions.
 Apply the concepts of limits and derivatives to realworld problems and curve sketching.
 Analyze the connection between derivatives and integrals in the context of the Fundamental Theorem of Calculus.
 Evaluate basic integrals using antiderivatives and substitution; recognize the geometric significance of an integral.
Grading
The course grades will be calculated based on the following percentages:
 WeBWorK: 10%
 Workshops: 10%
 Midterm 1: 20%
 Midterm 2: 20%
 Final Exam: 40%
The final exam will be cumulative and will test material from the entire semester. It will contain two parts, one covering material from the first two midterms, and the other covering material from after the second midterm. Each student’s lower midterm score will be replaced by that student’s score on the first part of the final exam if the latter is higher than the original midterm score. There will be no makeup exams.
Webwork Homework
Weekly online Webwork assignments are due on Fridays at 11:59 PM.
Your two lowest Webwork marks will be dropped when calculating your Webwork grade. For this reason, no late submissions will be allowed.
Access Webwork: Login to Blackboard, then go to Course Materials to find the Webwork link.
Tips:
 Start assignments as early as possible.
 Ask questions to instructors and TAs in office hours.
 Use the “Email Webwork TA” button in Webwork to ask questions via email.
 Detailed questions will get detailed answers from WebWork TAs.
 Don’t expect a response from the WebWork TAs if you email after 6 PM on Friday.
WeBWorK TAs
Lizhi Lei (llei5@u.rochester.edu)
Yuxin Wang (ywang211@u.rochester.edu)
Use the “Email Webwork TA” button in Webwork to ask them questions via email.
Workshops
You must signup for a workshop session. Signup opens Wednesday, September 6, 2017 at 5:30 PM.
Note: You must attend the session you are registered for. You cannot bounce around to other workshop sessions. You should sign up for the one that best fits your schedule and stick to that one.
Workshops will meet once a week for 75 minutes. Workshops start the week of September 11.
Each workshop will be led by a workshop TA. s In each workshop, you will be given a worksheet of problems to solve. The problems aim to get you to think more deeply about the material you are learning in class. They will generally be more challenging than WebWork problems or examples done in class. You will work in a small group, analyzing, discussing and explaining as you work on the problems. Explaining math to others is one of the best ways to learn it!
You will turn in one set of solutions per group. But instead of being graded on correct answers, you will be graded individually on your total engagement and effort in the workshop. The grading each week will be based on the following 02 point scale:

0: if the student was absent

1: if the student was not engaged, pulled out their phone, computer, etc. during the workshop, or was late

2: if the student was engaged for the entire workshop, actively working on the problems, and made progress on most of the problems
At the end of the semester, your two lowest workshop scores will be dropped to account for absences.
Workshop TAs
 Hristijan Bosilkovski (hbosilko@u.rochester.edu)
 Workshop Time/Location: Wed 3:25 PM Hylan 105
 Office Hours: Fri 1:00 PM  2:00 PM Gleason Library
 Yiming Chen (ychen193@u.rochester.edu)
 Workshop Time/Location: Fri 10:25 AM Hutch 138
 Office Hours: Wed 7:30 PM – 8:30 PM Carlson Library 2nd Floor
 Tanamaya Dahiya (tdahiya@u.rochester.edu)
 Workshop Time/Location: Thur 11:05 AM Hutch 138
 Office Hours: Tues 12:00 PM – 13:00 PM Gleason Library
 Ekam Singh Gill (egill2@ur.rochester.edu)
 Workshop Time/Location: Mon 7:40 PM Hutch 138
 Office Hours: Mon 4:50 PM – 5:50 PM Carlson Library 2nd Floor
 Gail Jardine (gjardine@ur.rochester.edu)
 Workshop Time/Location: Thur 3:25 PM Harkness 210
 Workshop Time/Location: Thur 4:50 PM Hylan 1106B
 Workshop Time/Location: Fri 2:00 PM Meliora 219
 Office Hours: Tues 4:00 PM – 5:00 PM Carlson Library 1st Floor
 Arif Kodza (akodza@u.rochester.edu)
 Workshop Time/Location: Wed 10:25 AM Hylan 1104
 Office Hours: Fri 10:00 AM – 11:00 AM Wilson Commons Starbucks
 Ishaan Kumar (ikumar@u.rochester.edu)
 Workshop Time/Location: Wed 7:40 PM Hylan 202
 Office Hours: Mon 10:45 AM to 11:45 AM Gleason Library
 Yunlu Li (yli158@u.rochester.edu)
 Workshop Time/Location: Thur 2:00 PM Genesee 308
 Office Hours: Fri 10:00 AM – 11:00 AM Gleason Library
 Jacob Lichtinger (j.lichtinger@rochester.edu)
 Workshop Time/Location: Tue 3:25 PM Hylan 1104
 Workshop Time/Location: Thur 3:25 PM Hylan 1104
 Workshop Time/Location: Fri 11:50 AM Hylan 202
 Office Hours: Fri 1:30 PM – 2:30 PM Hylan 908
 Yuhan Liu (yliu142@u.rochester.edu)
 Workshop Time/Location: Fri 11:50 AM Hutch 138
 Office Hours: Mon 3:00 PM – 4:00 PM Gleason Library
 Alana McGovern (amcgove2@u.rochester.edu)
 Workshop Time/Location: Tues 9:40 AM Hylan 1101
 Office Hours: Thur 2:00 PM – 3:00 PM Gleason Library
 VietDuy Nguyen (vnguy14@u.rochester.edu)
 Workshop Time/Location: Fri 3:25 PM Hylan 1101
 Office Hours: Fri 9:00 AM – 10:00 AM Carlson Library 2nd Floor
 Carlos Rojas (crojas3@u.rochester.edu)
 Workshop Time/Location: Tue 12:30 PM Mel 218
 Workshop Time/Location: Tue 4:50 PM Hylan 105
 Workshop Time/Location: Thur 4:50 PM Hylan 105
 Office Hours: Tues 11:15 AM – 12:15 PM Carlson Library 2nd Floor
 Varsha Sabhnani (vsabhnan@u.rochester.edu)
 Workshop Time/Location: Wed 2:00 PM Genesee 308
 Office Hours: Tues 11:00 AM – 12:00 PM Gleason Library
 Nina Stash (nstash@u.rochester.edu)
 Workshop Time/Location: Tues 11:05 AM Hylan 1106B
 Office Hours: Fri 12:00 PM – 1:00 PM Carlson Library 1st Floor
 Note: The Friday Oct 6 office hour will be moved to Wednesday Oct 4 at 8:00 PM. Location unchanged.
 Chunliang Tao (ctao4@u.rochester.edu)
 Workshop Time/Location: Fri 12:30 PM Bausch and Lomb 269
 Office Hours: Tues 7:30 PM – 8:30 PM Gleason Library
 Brianna Vick (bvick3@ur.rochester.edu)
 Workshop Time/Location: Tue 9:40 AM Genesee 309
 Workshop Time/Location: Wed 11:50 AM Hylan 1104
 Workshop Time/Location: Thur 6:15 PM Hylan 105
 Office Hours: Fri 11:30 AM – 12:30 PM Hylan 710
 Xiangyi (Lynne) Xu (xxu34@u.rochester.edu)
 Workshop Time/Location: Tue 2:00 PM Genesee 309
 Office Hours: Tues 12:45 PM – 1:45 PM Gleason Library.
Note: Office hours of all TAs are open to all MTH 161 students, regardless of which section and workshop they are registered for.
Exams
General Information
 There will be two midterms and one final exam.
 You must write the exams with the section/instructor for which you are registered.
 Notes, books, calculators, phones or other electronic devices are not allowed; having any in your view during an exam is an academic honesty violation.
Dates, Times, Locations, and Other Details
 Midterm 1: Thursday, Oct. 5, 8:00–9:15 AM
 Location(s): Hambrook and Lorman: Hutchison Hall 141 (Hubbell Auditorium)
 Location(s): Lubkin: Hutchison Hall 140 (Lander Auditorium)
 Location(s): Xi: Dewey 1101
 Midterm 1 Formula Sheet
 Midterm 1 Solutions
 Midterm 1 Average Score: 78.44
 Interpreting Your Midterm 1 Score
 Midterm 2: Tuesday, Nov. 7, 8:00–9:15 AM
 Location(s): Hambrook and Lorman: Hutchison Hall 141 (Hubbell Auditorium)
 Location(s): Lubkin: Hutchison Hall 140 (Lander Auditorium)
 Location(s): Xi: Dewey 1101
 Midterm 2 Formula Sheet
 Midterm 2 Solutions
 Midterm 2 Average Score: 82.56
 Final Exam: Sunday, December 17, 4:007:00 PM
 Location(s): Hambrook and Lubkin: Lower Strong Auditorium
 Location(s): Lorman and Xi: Hoyt Auditorium
 Final Exam Formula Sheet
 Final Exam / Solutions
Review for Midterm 1
Fall 2016 Midterm 1 (with solutions)
Spring 2016 Midterm 1 / Solutions
Fall 2015 Midterm 1 / Solutions
Fall 2010 Midterm 1 (with solutions)
Spring 2007 Midterm 1 (with solutions)
Fall 2001 Midterm 1 (with solutions)
Review for Midterm 2
Fall 2016 Midterm 2 (with solutions)
Spring 2016 Midterm 2 / Solutions
Fall 2015 Midterm 2 / Solutions
Fall 2010 Midterm 2 (with solutions)
Spring 2007 Midterm 2 (with solutions)
Review for Final Exam
Fall 2016 Final Exam / Solutions
Fall 2015 Final Exam / Solutions
Fall 2010 Final Exam (with solutions)
Fall 2001 Final Exam (with solutions)
Policies, Expectations, and Additional Resources
Academic Integrity
Students are expected to abide by the University of Rochester Academic Honesty Policy, available at http://www.rochester.edu/college/honesty.
All academic work should be done with the high level of honesty and integrity that this University demands. Academic misconduct of any kind may result in a grade penalty or the assignment of a failing grade.
Attendance
You are expected to be in class every day and come prepared to learn and work, and you are expected to arrive at exams on time. There will be no makeup exams.
Reading
On the course schedule, note that we have included readings – sections that you should read before coming to class and workshops. Reading the book and preparing for class and workshops ahead of time will help you follow the lecture better, complete your homework, and succeed in the workshops and on exams.
Extra Help
There are a variety of resources available to you to help you succeed in MTH 161. Office hours of all instructors and TAs are open to all MTH 161 students, regardless of which section and workshop they are registered for. There is a Math Department study hall each Monday through Friday, CETL runs a MTH 161specific study group, and private tutoring is available.
Disability Resources
The University of Rochester respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of a disability, please contact the Office of Disability Resources. The access coordinators in the Office of Disability Resources can meet with you to discuss the barriers you are experiencing and explain the eligibility process for establishing academic accommodations.
Office of Disability Resources (disability@rochester.edu; (585)2759049; 1154 Dewey Hall)
To be granted alternate testing accommodations, you (the student) must fill out forms with the Office of Disability Resources at least seven days before each and every exam. These forms are not sent “automatically.” Professors are not responsible for requesting alternative testing accommodations at the Office of Disability Resources, and they are not obligated to make any accommodations on their own.
Schedule
Here is the tentative course schedule; there may be small changes as the semester progresses.
For each week, we have listed the textbook sections covered in class, the textbook sections associated with the workshop, and the WebWork assignment due on the Friday of that week. The worksheet for each week’s workshop will be posted at the end of the week.
Section and exercise numbers in the schedule below are for the 8th edition of the textbook.
Week of Aug. 28
First day of classes: Wednesday, August 30
 Topics
 Appendix A: Numbers, Inequalities, and Absolute Values
 Supplementary Problems: 11, 13, 21, 33, 44, 51
 Appendix B: Coordinate Geometry and Lines
 Supplementary Problems: 3, 9, 23, 29, 34, 35, 45, 51, 57
 Workshops
 No workshops this week
 WeBWork due Friday, Sept. 8
 Webwork Set 0: Getting started with WeBWorK
Week of Sept. 4
Labor Day: Monday, September 4. No class.
 Topics
 Appendix D: Trigonometry
 Supplementary Problems: 3, 9, 13, 23, 25, 65, 67
 Section 1.3: New Functions from Old Functions [Start]
 Supplementary Problems: 3, 29, 32, 39, 41, 43, 50
 Workshops
 No workshops this week
 WeBWork due Friday, Sept. 8
 Webwork Set 1: Appendices A and B
Week of Sept. 11
 Topics
 Section 1.3: New Functions from Old Functions [Finish]
 Supplementary Problems: 3, 29, 32, 39, 41, 43, 50
 Section 1.4: Exponential Functions
 Supplementary Problems: 7, 12, 15, 17, 29(abc)
 Section 1.5: Inverse Functions and Logarithms
 Supplementary Problems: 21, 23, 25, 35, 38, 49
 Workshops
 Appendices A, B, and D. WS1.pdf
 Homework due Friday, Sept. 15
 Webwork Set 2: Appendix D, Section 1.3
Week of Sept. 18
 Topics
 Section 2.1: The Tangent and Velocity Problems
 Supplementary Problems: 3, 5
 Section 2.2: The Limit of a Function
 Supplementary Problems: 1, 3, 5, 9, 11, 15, 25, 31
 Section 2.3: Calculating Limits Using the Limit Laws
 Supplementary Problems: 1, 10, 11–23 (odd), 35, 37, 57, 63
 Workshops
 Sections 1.3, 1.4, 1.5. WS2.pdf
 Homework due Friday, Sept 22
 Webwork Set 3: Sections 1.4, 1.5, 2.1
Week of Sept. 25
 Topics
 Section 2.5: Continuity
 Supplementary Problems: 3, 17, 20, 39, 43, 45, 47, 50
 Section 2.6: Limits at Infinity; Horizontal Asymptotes
 Supplementary Problems: 3, 5, 13–31 (odd), 63
 Section 2.7: Derivatives and Rates of Change
 Supplementary Problems: 5, 9, 11, 15, 17, 27, 29, 47
 Workshops
 Sections 2.1, 2.2, 2.3. WS3.pdf
 Homework due Friday, Sept 29
 Webwork Set 4: Sections 2.2, 2.3, 2.5
Week of Oct. 2
*Midterm 1: Date/Time/Location: See Exams above.
Covers material up to (and including) Section 2.5.
 Topics
 Section 2.8: The Derivative as a Function
 Supplementary Problems: 2, 5, 9, 13, 17, 25, 27, 29, 35, 37, 43, 47
 Section 3.1: Derivatives of Polynomials and Exponential Functions
 Supplementary Problems: 5, 6, 7, 15–23 (odd), 31, 49, 53, 65
 Section 3.2: The Product and Quotient Rules
 Supplementary Problems: 3–25 (odd), 44, 49, 51, 54
 Section 3.3: Derivatives of the Trigonometric Functions
 Supplementary Problems: 3, 5, 9, 14, 17, 38, 39, 41, 43, 44
 Workshops
 Sections 2.5–2.8. WS4.pdf
 Homework due Friday, Oct. 6
 Webwork Set 5: Sections 2.6–2.8
Week of Oct. 9
Fall Break: October 9–10
 Topics
 Section 3.4: The Chain Rule
 Supplementary Problems: 5, 7, 9, 13, 15, 23, 32, 41, 43, 49, 53, 61, 65, 72, 80
 Workshops
 No workshops this week
 Homework due Friday, Oct. 13
 Due next week, but start now: Webwork Set 6: Sections 3.1–3.5
Week of Oct. 16
 Topics
 Section 3.5: Implicit Differentiation
 Supplementary Problems: 3, 8, 11, 17, 21, 27, 39, 45, 50, 51, 59, 71
 Section 3.6: Derivatives of Logarithmic Functions
 Supplementary Problems: 3, 4, 7, 8, 11, 23, 37, 39, 40, 49
 Section 3.7: Rates of Change in the Natural and Social Sciences
 Supplementary Problems: 1, 8, 12, 13, 20, 26, 30
 Workshops
 Sections 3.1–3.4. WS5.pdf
 Homework due Friday, Oct. 20
 Webwork Set 6: Sections 3.1–3.5
Week of Oct. 23
 Topics
 Section 3.8: Exponential Growth and Decay
 Supplementary Problems: 3, 7, 9, 12, 15, 19
 Section 3.9: Related Rates
 Supplementary Problems: 3, 10, 13, 15, 17, 19, 24, 33, 41
 Workshops
 Sections 3.5–3.7. WS6.pdf
 Homework due Friday, Oct 27
 Webwork Set 7: Sections 3.4–3.6
Week of Oct. 30
 Topics
 Section 3.10: Linear Approximation and Differentials
 Supplementary Problems: 2, 5, 11, 22, 23, 25, 27, 35, 39, 41(e)
 Section 4.1: Maximum and Minimum Values
 Supplementary Problems: 3, 7–19 (odd), 31, 34, 39, 50, 55, 59, 63, 70
 Section 4.2: The Mean Value Theorem
 Supplementary Problems: 4, 5, 11, 17, 23, 25
 Workshops
 Sections 3.8, 3.9. WS7.pdf
 Homework due Friday, Nov. 3
 Webwork Set 8: Sections 3.7–3.9
Week of Nov. 6
*Midterm 2: Date/Time/Location: See Exams above.
Covers material up to (and including) Section 3.9
 Topics
 Section 4.3: How Derivatives Affect the Shape of a Graph
 Supplementary Problems: 5, 8, 11, 15, 23, 25, 31, 41, 45, 67, 86
 Section 4.4: Indeterminate Forms and L’Hospital’s Rule
 Supplementary Problems: 5–11 (odd), 17–23 (odd), 37, 42, 49, 53, 55, 56, 76
 Section 4.5: Summary of Curve Sketching (Ignore Slant Aymptotes) [Start]
 Supplementary Problems: 3, 13, 18, 33, 44
 Workshops
 Sections 3.10, 4.1. WS8.pdf
 Homework due Friday, Nov. 10
 Webwork Set 9: Sections 3.10, 4.1, 4.2
Week of Nov. 13
 Topics
 Section 4.5: Summary of Curve Sketching (Ignore Slant Aymptotes) [Finish]
 Supplementary Problems: 3, 13, 18, 33, 44
 Section 4.7: Optimization Problems
 Supplementary Problems: 2, 5, 12, 18, 23, 27, 39, 42, 53
 Workshops
 Sections 4.2, 4.3, 4.4. WS9.pdf
 Homework due Friday, Nov 17
 Webwork Set 10: Sections 4.3, 4.4
Week of Nov. 20
Thanksgiving Break: November 22 (noon)–26
 Topics
 Section 4.9: Antiderivatives
 Supplementary Problems: 3, 13, 15, 21, 35, 37, 45, 49, 53, 59, 61, 66, 73
 Workshops
 No workshops this week.
 Homework due Friday, Nov. 24
 Due next week, but start now: Webwork Set 11: Sections 4.5, 4.7
Week of Nov. 27
 Topics
 Section 5.1: Areas and Distances
 Supplementary Problems: 4, 15, 17, 20, 23
 Section 5.2: The Definite Integral
 Supplementary Problems: 1, 5, 7, 19, 29, 33, 35, 36, 42, 43, 47, 49, 54, 55
 Section 5.3: The Fundamental Theorem of Calculus [Start]
 Supplementary Problems: 4, 5, 7–17 (odd), 23, 31, 36, 37, 43, 57, 63, 67, 78
 Workshops
 Sections 4.7, 4.9. WS10.pdf and WS11.pdf
 Homework due Friday, Dec. 1
 Webwork Set 11: Sections 4.5, 4.7
 Webwork Set 12: Sections 4.9
Week of Dec. 4
 Topics
 Section 5.3: The Fundamental Theorem of Calculus [Finish]
 Supplementary Problems: 4, 5, 7–17 (odd), 23, 31, 36, 37, 43, 57, 63, 67, 78
 Section 5.4: Indefinite Integrals and the Net Change Theorem
 Supplementary Problems: 7, 10, 12, 16, 27, 31, 37, 43, 49, 52, 59, 69
 Section 5.5: The Substitution Rule
 Supplementary Problems: 7, 10, 12, 19, 27, 31, 35, 43, 59, 65, 72, 81
 Workshops
 Sections 5.1–5.2. WS12.pdf
 Homework due Friday, Dec 8.
 Webwork Set 13: Sections 5.1–5.3
Week of Dec. 11
Last day of classes: Wednesday, December 13
*Final Exam: Date/Time/Locaton: See Exams above.
 Topics
 Catchup/Review
 Workshops
 No workshops this week
 Homework due Friday, Dec 15
 Webwork Set 14: Sections 5.3–5.5 (For practice, highly recommended, but not for credit.)