# Math 132 - Spring 2019 (all sections)

Section 1 (10:00) Instructor: Dr. Silas Johnson
Office: Cupples I, room 107A
Email: silas@wustl.edu
Office hours: Tu 10:30-11:30, Tu 4:15-5:15, Th 2:30-4:00

Section 2 (11:00) Instructor: Prof. Jenny Shrensker
Office: Cupples I, room 202
Email: shrenskerj@wustl.edu
Office hours: MWF 12:30-1:30

Students in either section may attend either instructor's office hours. AI office hours are held in the Calculus Help Room, from 12-4 Monday through Friday.

Assistants to the Instructor:

## Course Outline

This is the second course in a three-semester calculus sequence. Major topics include:

• Techniques of integration
• Applications of integration
• Sequences and series; convergence testing
• Taylor series

Learning Objectives:

• Use integrals to compute lengths, areas, and volumes
• Apply a variety of techniques for finding antiderivatives
• Given a function, identify the best technique to integrate it
• Understand the relationship between sequences and series, and what it means for each to converge
• Apply a variety of tests to determine if a series converges, and identify the best test to use
• Calculate and use Taylor series for functions
In addition, you should be building a number of general skills throughout the course, such as:
• Finding strategies to solve problems you have never seen before
• Working with others to solve problems
• Communicating your own work to others in a way they can understand
• Comparing and contrasting different problems or topics
• Understanding how different ideas depend on each other
• Using mathematics to model the world

Discussion Sections are held on Tuesdays with the AI's, and will focus primarily on small-group problem solving. You will be responsible for turning in answers to a handful of problems at the end of section, which will count as part of your homework grade. Therefore, attendance at discussion sections is required. Your lowest two discussion section grades will be dropped; any absences will count as one of these two dropped grades. There are no makeups for missed discussion sections.

## Teaching and Learning Philosophy

While it is easy in a large lecture class to sit back and watch math happen on the blackboard, remember that the only way to learn math is to do math. It is crucial to your success that you engage with the material both in and outside of class. We will spend as much class time as we can allowing you to learn actively, rather than passively, in a variety of ways. Be open to the fact that class may not always look like what you think a lecture has to look like!

It is also easy to get lost in a crowd in a class like this, but you will have better results if you approach learning as a community activity. (After all, if that weren't important, you could take this class online!) The best resource you have is not the textbook, old exams, homework problems, or office hours, but your classmates. Use them! Work together in and outside of class, form study groups, ask for and give help. Conversely, remember that you are the best resource they have too, and communicating your ideas to others is a great learning technique and a crucially important skill.

Finally, don't be afraid to make mistakes. Despite all our emphasis on grades, failure is a crucial part of the learning process, and you should not expect to get everything right the first time. It is also your responsibility to help create an environment in which your classmates can safely engage in productive failure.

## Textbook and Materials

Textbook: Calculus, Early Transcendentals, 8th edition, by Stewart. You do not need to purchase any access code for online content along with the book. It is fine to get an old edition, and may save you quite a bit of money. If you do, please check regularly with classmates to make sure you are reading the correct sections.

If you are also taking chemistry, you may be able to save money by buying both textbooks in electronic form through Cengage Unlimited. Use the class key wustl 3132 5737 to access this course. Note that none of this is required! You do not need WebAssign access to take this course; see below about WeBWorK, which is free.

Calculators: You may use any calculator for your homework, but calculators will NOT be allowed on exams. Formula sheets will be provided for some exams, where appropriate, and these formula sheets will be published ahead of time.

Canvas is our course management system; grades and homework will be posted there, as well as occasional announcements. To access Canvas, go to mycanvas.wustl.edu. Note that all content will be posted under a merged course for sections 1 and 2; if you only see section 1 listed but are enrolled in section 2, this is normal.

WeBWorK: Homework will be assigned through this system. You do not need to do anything (or pay anything) to sign up for Webwork. Under the "assignments" tab in Canvas is a link to Webwork; use this link to access the system.

## Homework and Exams

Homework will be assigned weekly via WeBWorK. Homework is normally due Sunday at 11:59pm; no late submissions are accepted. WeBWorK problem sets will generally be tied to one section of the book, so there will be multiple sets due each week. Make sure you complete all problem sets each week.

I strongly encourage you to collaborate on your WeBWorK assignments, as long as you are able to solve each problem on your own after discussing it with your classmates. See the section "Teaching and Learning Philosophy" above for more thoughts on the role of collaboration in the learning process.

Discussion section problems: Discussion section problems, which you will solve in small groups, will count for a small portion of your grade. You will turn them in at the end of each section; no make-ups or late submissions will be allowed, but your lowest two scores (including absences) will be dropped.

Suggested problems: I intend to periodically post lists of suggested problems from the textbook. These do not need to be turned in, but they will serve as useful practice for exams and for building your skills.

Exams: There will be three exams, plus a final exam. The dates of these exams are:

• Tuesday, February 5th, 6:30-8:30pm
• Tuesday, March 5th, 6:30-8:30pm
• Tuesday, April 9th, 6:30-8:30pm
• Friday, May 3rd, 10:30am-12:30pm (final exam)
You are responsible for arranging your schedule so that you can take these exams at the assigned time. If an emergency arises that will preclude your attendance, contact Dr. Johnson as soon as possible. The final exam will not be given at any other time. You must take it at the assigned time; do not leave campus for the summer before that time. The ONLY circumstances under which exceptions will be made are if you are seriously ill, a loved one is near death, or you have a conflict with another final exam.

Exams will generally consist of about 15 multiple-choice problems and 2-3 free-response (hand-graded) problems. Past exams can be found on the math department website, and I highly recommend taking at least one past exam under timed conditions prior to the first real exam.

Students requiring accommodations for a disability during exams or otherwise should register with Disability Resources as soon as possible. Send your VISA (which you will receive from Disability Resources) to Dr. Johnson at least two weeks in advance of the first exam so your accommodations can be arranged.

• 40% final exam, 20% each midterm (drop lowest), 15% WeBWorK, 5% discussion section, OR
• 20% final exam, 20% each midterm (no drop), 15% WeBWorK, 5% discussion section,
whichever gives you the higher score.

Curve Policy: If the average score on an exam is below 75%, a constant will be added to each student's score for that exam only to bring the average to 75%. This adjustment will take place before scores are plugged into the formula above for total course grade.

Grades will never be adjusted down if the average is over 75%. No adjustment will take place for homework scores or the overall course grade.

• A+: Only given at instructor's discretion
• A: 90 and up
• A-: 85-90
• B+: 80-85
• B: 75-80
• B-: 70-75
• C+: 65-70
• C: 60-65
• C-: 55-60
• D: 50-55 (D+ and D- ranges determined later)
• F: below 50
Note that scores will not be rounded; a total grade of 84.99 is still a B+, not an A-.

If you take the class on a credit/no credit (pass/fail) basis, you must earn at least a C- to pass.

## Useful Resources

Campus Resources

External Math Resources

• Wolfram Alpha is a great way to check your work. Do not use it, however, to do homework problems for you.
• Sage is a Python-based system intended as an open-source alternative to Wolfram Alpha, Mathematica, and similar systems.
• GNU Octave is an open-source alternative to Matlab.
• Khan Academy has been immensely popular with many of my students as a supplemental resource.
• This free textbook from the University of Wisconsin has problems that are more difficult and "thinky" than most of those in Stewart. (Apologies if this link stops working.)

• Do as many problems as you can. Do every problem in the textbook, even, if that's consistent with your mental health and success in other courses.
• Do homework sets as soon as we've covered the relevant material, not right before they're due.
• Read a section or two ahead before class, and attempt a few problems. This shouldn't make class boring; rather, it makes class an opportunity to clarify your thoughts and get a different perspective.
• Come prepared to discussion section so you can make the most of it. You should already have worked on the homework assignment at that point.

## Approximate Schedule

This schedule is only an estimate! If you miss class, please confirm with another student so you can make sure you catch up on the correct material.

Suggested problems are not required, and you do not need to turn them in, but they are a good starting point for your practice. You may find that you need to do more, or fewer, problems to master the material.

Week Dates Sections and Suggested Problems Notes
1 1/14-1/18 4.9: 1-22, 25-48, 51-54
5.1: 1-8, 13-14, 16, 21-26
5.2: 1-12, 17-25, 27-28, 33-42
5.3: 1, 7-48, 55-58, 72
5.4: 1-46, 51-56
5.5: 1-48
2 1/23-1/25 5.5 (continued)
6.1: 1-28, 31, 35
No class Monday
3 1/28-2/1 6.2: 1-18, 39, 47, 49, 55, 57, 58
6.3: 1-20, 37-41
4 2/4-2/8 6.5: 1-17, 19
7.1: 1-42
Exam 1, Tuesday 2/5, 6:30-8:30pm
5 2/11-2/15 7.1 (continued)
7.2: 1-49, 56, 61-64
6 2/18-2/22 7.3: 1-30, 33
7.4: 1-52, 54
7 2/25-3/1 7.4 (continued)
7.5: All!
Deadline to change to pass/fail, Friday 3/1
8 3/4-3/8 7.5 (continued)
8.1: 1-22
Exam 2, Tuesday 3/5, 6:30-8:30pm
Spring break next week (3/11-3/15)
9 3/18-3/22 8.2: 1-18
7.8: 1-22, 49-54
10 3/25-3/29 11.1: 3-56
11.2: 2-8, 15-49, 57-63
11.3: 1-35
11 4/1-4/5 11.4: 1-32
11.5: 1-34