MTH 161 - CALCULUS IA

Table of Contents

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 08:00-09:30am 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:


Grading

The course grades will be calculated based on the following percentages:

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 make-up 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:

WeBWorK TAs

Lizhi Lei (llei5@u.rochester.edu)

Yuxin Wang (ywang211@u.rochester.edu)

Use the “E-mail Webwork TA” button in Webwork to ask them questions via email.


Workshops

You must sign-up for a workshop session. Sign-up opens Wednesday, September 6, 2017 at 5:30 PM.

Sign-Up Instructions

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 0-2 point scale:

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
Viet-Duy 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
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, 4:00-7:00 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)

Fall 2009 Midterm 1

Spring 2007 Midterm 1 (with solutions)

Fall 2006 Midterm 1

Fall 2004 Midterm 1

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)

Fall 2009 Midterm 2

Spring 2007 Midterm 2 (with solutions)

Fall 2006 Midterm 2

Fall 2001 Midterm 2

Fall 2000 Midterm 2

Review for Final Exam

Fall 2016 Final Exam / Solutions

Fall 2015 Final Exam / Solutions

Fall 2010 Final Exam (with solutions)

Fall 2009 Final Exam

Spring 2007 Final Exam

Fall 2004 Final Exam

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 make-up 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 161-specific study group, and private tutoring is available.

Details and More Information.

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)275-9049; 1-154 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
Catch-up/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.)