Math 12
Calculus for First-Year Students with Two Terms of AP Credit (Honors)
Last updated May 31, 2008 12:24:02 EDT

### General Information

As the title indicates, this is a multivariable calculus course designed especially for first-year students who have successfully completed a BC calculus curriculum in secondary school.

Multivariable calculus extends the ideas of single-variable calculus to a more general setting, in which not only numbers but pairs or triples (and so on) of numbers are allowed as arguments and/or values of functions. For example, a function describing the motion of an object in three-dimensional space takes a single number, representing time, to a triple of numbers, representing the three coordinates of the object's position at that time.

We will begin by studying representations of position and motion in two- and three-dimensional space, look at differentiation and integration in this context, and continue by studying other things we can represent by using more than one variable (for example, a curved surface in three-dimensional space, or a fluid flow in three dimensions.) Ultimately we will study some important theorems that relate differentiation and integration in the multivariable context (the Fundamental Theorem of Line Integrals, Green's Theorem, Stokes's Theorem, Gauss's Theorem) and see some of their physical and mathematical applications.

Math 12 is the honors version of this course. We will cover essentially the same syllabus as Math 11, but with an honors perspective; that is, we will try to pay more attention to the theoretical mathematical structure of the calculus. This doesn't mean we will spend all our time (or even most of our time) on theoretical proofs. This is a calculus course and we will learn to solve calculus problems.

The choice of an honors or non-honors course for your first term does not commit you for subsequent terms; you can always decide to take whatever version of a specific course you are prepared for and would most enjoy. (Later in the math major sequence you will find that the choice of an honors or non-honors course may affect your preparation for future honors courses, but you do not need to worry about that right now.) If you have been invited to take Math 12 and you are unsure about whether to choose Math 12 rather than Math 11 or another course, please feel free to talk to the Math 12 instructor (Professor Groszek), to talk to the department's First-Year Advisor (Professor Scott Pauls), or to come to the department's open house (1:30 PM, Thursday September 15) and talk to any faculty member. Also, don't miss the relevant meetings during orientation, in particular the mathematics honors meeting on Monday, September 19, at 10 AM in Filene auditorium.

Textbook

Calculus by James Stewart, fifth edition
(Available at Wheelock Books)

Scheduled Lectures

 MWF 8:45 - 9:50 (x-hour) Thu 9:00 - 9:50 103 Bradley Hall We will sometimes use the x-hour; please keep this time available.

Instructor

 Professor Marcia Groszek Office: 104 Choate House Office Hours: Mon and Thu, 10:15-12:00, and by appointment.

Exams

There will be two midterms and a final examination. Approximate dates are as follows:

 Exam 1 Tentative date, Tuesday, October 18, 4-6 PM, 103 Bradley Hall. Exam 2 Tentative date, Tuesday, November 8, 4-6 PM, 103 Bradley Hall. Final Exam Sunday, December 4, 8-11 AM, location TBA.

There will also be occasional, short in-class quizzes, which may or may not be announced in advance. Missed quizzes count as zero.

You must take exams at the scheduled time. If you have a schedule conflict with one of the midterm exams, please talk to the instructor as soon as possible, but no later than two weeks before the exam, about arranging an alternate exam time. The final exam will be given only at the scheduled time.

Homework Policy

Homework will be assigned each class day and will be due at the beginning of the next class meeting. There will be two types of homework assignments, online homework assignments submitted via the web and written homework assignments submitted in class. All homework assignments will be posted on the course assignments web page. (This page has not yet been added.)

Online (WeBWorK) homework assignments will be graded on a credit / no credit basis. Problems similar to the WeBWorK problems will appear on occasional short in-class quizzes, which will be graded. Written homework assignments will be graded on the clarity of the explanation as well as the correctness of the answers. More details about homework assignments will be posted on the course assignments web page.

Late homework will not be accepted except in case of genuine emergency; if you have a genuine emergency, talk to the instructor. Unexcused late papers count as zero. However, the two lowest grades on written homework assignments will be dropped before computing your final grade.

Your course grade will be based on your homework, quiz, and exam grades, as follows:

 Midterm Exams 100 points each Homework and Quizzes 50 points Final Exam 150 points Total 400 points

If your grades on the three exams are significantly different from each other, the following policies may be relevant: Nobody who gets a grade of at least C on the final exam will fail the course. Nobody who has a grade of at least C going into the final, and takes the final exam, will fail the course. Nobody who gets a grade of at least B on the final exam will get below a C- in the course. Nobody who has a grade of at least B going into the final, and takes the final exam, will get below a C- in the course.

Disabilities

Students with disabilities who will be taking this course and may need disability-related classroom accommodations should make an appointment to see the instructor as soon as possible. Also, they should stop by the Academic Skills Center in Collis Center to register for support services.

Tutorials

The Math 12 tutor is Jared Corduan, and his office is 1L Bradley Hall. Tutorial assistance for this course, that is, help with your homework, will be available in 103 Bradley Hall, evenings before class meetings (generally Sunday, Tuesday, and Thursday) 7 - 8/9 PM. The tutor will stay until at least 9 PM if there are students present, but if nobody is there the tutor may leave anytime after 8 PM. Tutorials will begin on Thursday, September 22.

Also note that the Tutor Clearinghouse will have private one-on-one tutors available for Math 12. The tutors are recruited on the basis that they have done well in the subject, and are trained by the Academic Skills Center. If a student receives financial aid, the College will pay for three hours of tutoring per week. If you would like to have a tutor, please go to 301 Collis and fill out an application as early in the term as possible.

The Honor Principle

Academic integrity and intellectual honesty are an integral part of academic practice. This does not mean that you can't work on homework together or get ideas and help from other people. It does mean that you can't present somebody else's work or ideas without giving them due credit.

Written Homework: Feel free to discuss homework problems with other people and to work together to answer them. This may be the best way to learn. You must write up the answers yourself without copying from anybody. (This means you cannot copy down a joint solution arrived at by a group working together, even if you were part of the group. You must write up the solution in your own words.) You must also acknowledge any sources you consulted or people you worked with on written homework. Working with other people or consulting other sources will not lower your grade.

WeBWorK: For online homework, each person will receive a different homework assignment, but all homework assignments will be in the same format. For example, if you are asked to find the derivative of 2*sin(3x), another person may be asked to find the derivative of 5*sin(2x). Again, you are encouraged to work together, but it is a violation of the honor code to have someone provide the answer for you.

Exams and Quizzes: No help may be given or received.

Marcia J. Groszek
Last updated May 31, 2008 12:24:02 EDT