Instructor: Tim Chumley
Office: Clapp 423
Phone: 413-538-2525
e-mail: tchumley
Office Hours: Mondays & Wednesdays 3:15-4:15; Tuesdays & Thursdays 4:15-5:15; by appointment

Textbook: Calculus: Single Variable, 7th Edition by Deborah Hughes-Hallett et al, ISBN: 9781119139317;
on library reserve under QA303.2.H845 2017 and as an e-text;
a free pdf of the 6th edition is available (any edition is fine)


Announcements

Announcements will be posted on the Course Announcements Moodle forum throughout the semester, but essentially all other materials will be posted on this page.

Syllabus

Check the syllabus for all the important class policies (grades, attendance, etc.).

Homework

There will be weekly homework assignments throughout the semester to be turned in. Please read these guidelines for writing in our class.

  • Webwork. Some of your homework will be done in an online system called Webwork.
    • These problems will be due on Wednesdays.
    • You’ll have unlimited attempts at each problem.
  • Written work. A selection of problems will be assigned to be written up individually and turned in each week.
    • These problems will also be due Wednesdays.
    • You may work with others but the writing should be done on your own.
  • Gradescope. Homework will be turned in through Gradescope.
    • Please add yourself to the Gradescope course using Entry Code KYX8XR.
    • Gradescope has made a short tutorial on submitting homework.
  • Collaboration. I want you to work together on the homework! The process of explaining your ideas to one another really helps in learning math. However, you must write up the assignments on your own and avoid copying others’ work directly. Also, please only write what you understand so that I know where to help, and please avoid using online forums like Math StackExchange, solutions manuals, or similar resources. A huge part of learning in this class comes from figuring out how to get unstuck by spending time thinking on your own or talking to me and classmates; these other resources can end up being counter-productive in the long term.
  • Rewrites. Homework is for practice, and you are not expected to write perfect answers from the start!
    • Your revisions will be due on Fridays.
    • Please resubmit (only the problems you’re revising) on Gradescope.
Assignment Due
Homework 0 Sep 3
Homework 1 Sep 10
Homework 2 Sep 15
Homework 3 Sep 22
Homework 4 Sep 29
Homework 5 Oct 6
Homework 6 Oct 20
Homework 7 Oct 27
Homework 8 Nov 3
Homework 9 Nov 10
Homework 10 Nov 17
Homework 11 Dec 1

Quizzes

There will be (mostly) weekly quizzes that will be given on Mondays. The purpose of these is to check in to see that you’re comfortable with fundamental material and homework problems. Problems will always be related to the previous homework and class topics.

Quiz Date Material
Quiz 1 Sep 13 Limits
Quiz 2 Sep 20 Geometric series
Quiz 3 Sep 27 p-series, nth term test, comparison test
Quiz 4 Oct 4 Limit comparison test, ratio test, alternating series test
Quiz 5 Oct 18 Power series
Quiz 6 Oct 25 Basic integration, areas
Quiz 7 Nov 3 Substitution, integration by parts
Quiz 8 Nov 10 Partial fractions
Quiz 9 Dec 1 Volumes

Exams

There will be two midterms and a final. The dates for the mid-terms are subject to change slightly.

Exam Date Format Material
Exam 1 Oct 8 in-class Sections 9.1 to 9.4
Exam 2 Nov 19 in-class Sections 9.5, basics of integration, 7.1, 7.2, 7.4, 7.6
Exam 3 Dec 9 - 13 self-scheduled cumulative with a focus on 8.1, 8.2, 10.1, 10.3

Course plan

Our plan is to cover most of chapters 7, 8, 9, and 10 in the textbook, and maybe parts of chapter 11 if we have time. Below is a rough outline of what is to be covered week by week through the semester. Please check back regularly for precise details on what is covered, as well as postings of class materials like lecture notes.

Introduction


Monday
  • Topic: Introduction. We discuss an overview of the class, preview series, and review basics of limits.
  • Class materials: Lecture notes
  • After class: Read Example 2, Example 5, and Theorem 9.1 in Section 9.1.
Wednesday
  • Topic: Section 9.1: Sequences. We discuss convergence and divergence of sequences.
  • Class materials: Lecture notes, Sequences, (worksheet solutions)
  • After class: Read the introductory example on Repeated Drug Dosage in Section 9.2.
Friday
  • Topic: Section 9.2: Geometric series. We introduce our first example of an infinite series.
  • Class materials: Lecture notes
  • After class: Read the beginning of Section 9.3 up through Example 1.

Chapter 9


Monday
  • Topic: Labor Day, no class.
Wednesday
Friday
  • Topic: Section 9.3: Convergence of series. We begin talking about convergence of series beyond just geometric series.
  • Class materials: Lecture notes
  • After class: Begin working on Homework 2.

Chapter 9


Monday
Wednesday
Friday

Chapter 9


Monday
  • Topic: Section 9.4: Tests for convergence. We discuss the absolute convergence and ratio tests.
  • Class materials: Lecture notes
  • After class: Work on Homework 3.
Wednesday
Friday

Chapter 9


Monday
Wednesday
  • Topic: Series practice. We continue our overview of absolute and conditional convergence.
  • Class materials: Lecture notes, Series review
  • After class: Work on filling out the Series review packet. It will form part of your next homework.
Friday

Chapter 9


Monday
Wednesday
Friday
  • Topic: Exam 1. We’ll spend the whole class period on the first exam.
  • After class: Enjoy fall break!

Integration review


Monday
  • Topic: Fall break, no class.
Wednesday
Friday
  • Topic: More integral review. We discuss how to use integrals to compute areas of various regions bounded by curves.
  • Class materials: Lecture notes, Finding areas, (worksheet solutions)
  • After class: Read Examples 1, 3, and 4 in Section 7.1.

Chapter 7


Monday
  • Topic: Section 7.1: Substitution. We discuss a new method for computing integrals and antiderivatives.
  • Class materials: Lecture notes, Substitution, (worksheet solutions)
  • After class: Read Examples 9, 10, 11, 12, 13 in Section 7.1.
Wednesday
Friday

Chapter 7


Monday
Wednesday
Friday

Chapter 7


Monday
  • Topic: Section 7.6: Improper integrals. We discuss integrals where a limit of integration is infinite or a singular point of the integrand.
  • Class materials: Lecture notes
  • After class: Read Examples 6, 7, and 8 in Section 7.6.
Wednesday
Friday
  • Topic: Section 7.6: Improper integrals. We work on examples and homework related to improper integrals.
  • Class materials: Improper integrals, (worksheet solutions)
  • After class: Read Examples 1 and 3 in Section 8.1.

Chapter 8


Monday
  • Topic: Section 8.1: Volumes by slicing. We discuss finding volumes of solids by slicing and integration.
  • Class materials: Lecture notes
  • After class: Read Examples 1 and 2 in Section 8.2.
Wednesday
Friday

Chapter 8


Monday
  • Topic: Section 8.2: Arc length. We discuss finding the length of a curve given by the graph of a function.
  • Class materials: Lecture notes
  • After class: Continue studying for Friday’s exam.
Wednesday
  • Topic: Exam review. We will spend the day working on a review worksheet and answering questions on exam material.
  • Class materials: Review worksheet, (worksheet solutions)
  • After class: Study for exam.
Friday
  • Topic: Exam 2. We’ll spend the whole class period on the second exam.
  • After class: Read up through Example 2 in Section 10.1.

Chapter 10


Monday
  • Topic: Section 10.1: Taylor polynomials. We discuss approximating functions with polynomials.
  • Class materials: Lecture notes
  • After class: Enjoy the break!
Wednesday
  • Topic: November break, no class.
Friday
  • Topic: November break, no class.

Chapter 10


Monday
  • Topic: Section 10.1: Taylor polynomials. We discuss more examples of Taylor polynomials and learn about the technique of substitution.
  • Class materials: Lecture notes, Taylor polynomials, worksheet solutions
  • After class: Read Examples 1, 2, and 3 in Section 10.3.
Wednesday
  • Topic: Section 10.3: Finding and Using Taylor Series. We introduce the notion of a Taylor series, which are power series that we can think of as Taylor polynomials with infinitely many terms.
  • Class materials: Lecture notes
  • After class: Read Examples 2, 6, and 7 in Section 10.3.
Friday

Wrap up


Monday
  • Topic: Wrap up. We will spend the day working on a review worksheet and answering questions on exam material.
  • Class materials: Review worksheet, worksheet solutions
  • After class: Study! Enjoy your break! Keep in touch!

Getting help

Here are a few ways to get help:

  • Office Hours: Mondays & Wednesdays 3:15-4:15; Tuesdays & Thursdays 4:15-5:15; by appointment
  • TA help. Our class will have some teaching assistants (TAs) who are upper level students that are excited to help. The details of their availability will be posted here as soon as possible.
    • Hannah M. will hold evening help Mondays, 7 to 9 pm, in Clapp 402.
    • Hannah O. will hold evening help Tuesdays, 7 to 9 pm, in Clapp 407.
  • Individual tutoring: There will be opportunities to meet individually with our TAs too. They are available by appointment, which can be set up by email. Please feel free to send them a message (middl22h and ograd22h) and let them know your availability.
  • Study groups: Other students in the class are a wonderful resource. I want our class to feel like a community of people working together. Please get in touch if you’d like me to help you find study partners, and please reach out if you’d like others to join your group. You may work together on homework, explain and check answers, but make sure you write what you know on homework in order to get good feedback.

Resources

  • Wolfram Alpha: a useful way to check your answers on computations. It can do algebra and calculus, among other things, and it understands a mix of English and symbols.
  • Desmos: a nice website for graphing functions.