Math 251 - Multivariable Calculus. Section H1. Fall 2009.
Contact Information
Instructor: Corey HoelscherOffice: Hill Center, room 515.
Office Phone: 732-445-2390 ext. 5935.
Office hours: Mondays and Wednesdays 2:40-3:10pm; Tuesdays 6:30-7:30pm
e-mail:

Peer Mentor: Richard Romanowski
e-mail: rsromano@eden
Announcements
Stay tuned here for important announcements about the course.
- The final exam will take place Wednesday December 23, 8:00-11:00am in the usual classroom, SEC 202. It will cover roughly 2/3 new material and 1/3 review. The new material consists of everything we have done since the last exam, specifically sections 16.1, 16.2, 16.3, 16.4, 16.5, 17.1, 17.2 and 17.3. The old material is everything that was covered on the previous exams.
- I will be giving a review session on Sunday 12/20 1:00-3:00pm in SEC room 218, on Busch, where I will go over problems from the exam reviews, quizzes, howework, workshops or anywhere else.
- The final exam review questions are available here. Once you have finished the problems you can check most of your answers here. Doing this exam review is the best way to study for the part of the exam which will cover new material. For the review part of the exam you should look over the midterms, quizzes, and midterm reviews. I posted blank copies of the midterms on Sakai, so you can print them out, redo them to test yourself, then check your answers with the solutions posted on Sakai.
- The final exam equation sheet is available here. You will be given an identical copy of this note sheet on the final exam.
- I will NOT hold my usual office hours during finals. Instead I will have office hours Sunday 12/20, 4:00-6:00pm and Monday 12/21, 12:00-2:00pm.
- Please take a few minutes to fill out the online course survey on Sakai. Your comments about what you like and what could be improved are especially helpful, and of course, these surveys are completely anonymous.
- As a part of the Maple Adoption Program, a discounted version of Maple is available here if you want to buy it. Use the promotion code AP54902. We will use Maple in the course but you are not required to buy the software since it is available in computer labs all over campus.
- Quiz, homework and exam grades will be posted on Sakai.
General Information
Class will meet Mondays and Wednesdays 5:00 PM - 6:20 PM in the Science and Engineering Resource Center, room 202, and Tuesdays 5:00 PM - 6:20 PM in room 216, in the same building. Mondays and Tuesdays will generally be lectures and Wednesdays will generally be workshops.The topics for the course will include: Vector Geometry, Vector-Valued Functions, Functions of Several Variables, Partial Derivatives, Multiple Integrals, Line and Surface Integrals, Stokes' Theorem, and much more. The main Math 251 website has more general information about this course.
The text for the course is Jon Rogawski: "Calculus Early Transcendentals." The required textbook may be supplemented by an optional "Student's solution manual."
Homework
Doing homework problems is the best way to make sure you understand the material and to reinforce what you have learned. Every week there will be a homework assignment on the material covered in class. The assignments will be posted in the course calendar below and it is your responsibility to check this calendar for the assignments and due dates. The homeworks will be graded for completion and the quiz questions will generally be taken directly from the homework. Doing homework problems is the only way to really learn math. It is easy to sit through a lecture or read a book and think you understand everything. But when you sit down to solve problems you realize there are lots of holes in your knowledge. This is why homework is an essential part of the course.Each homework assignment will also have assigned reading from the book. These readings are very important for several reasons. First, we will not always have time to cover everything from the book in class and you will have to read the skipped parts of the book in order to be able to do the homework and be prepared for the quizzes and exams. Second, it is an important skill to be able to read and follow written mathematics and this is one of the goals of the course.
Workshops
Every week we will have a Workshop designed to improve your problem solving skills and deepen your understanding of the course material. During these workshops, you will be given a series of difficult problems to work on in groups. The professor and the peer mentor for the course will move around the room to answer questions, give hints on the problems and keep you on the right track. At the end of the workshop each day the professor will select one of the problems which will then have to be written up by each student individually and handed in at the following workshop. Your write-ups must be clear, well organized, well written and logically correct, as they will be graded on this criteria.
Maple Projects
Although a deep understanding of the mathematics behind real-world problems is essential, many problems require computations which are far too difficult to do with a pencil and paper. So learning how to use computers to help solve problems is a key part of a good math education in our modern world. To that end, there will be four Maple projects due throughout the semester for this course. These are short projects designed to familiarize you with the computer mathematics program Maple. The due dates of these projects are posted on the course calendar below.
Quizzes
Quizzes are a good way for you to make sure you can solve important types of problems and they give you a bit more practice with the material. There will be a quiz each week in class that will cover the material from the previous homework. The quiz will usually consist of a few problems directly from the homework. The best way to study for the quizzes is to do the homework. If you know how to do all the problems on the homework then you will have no problem with the quiz. The two lowest quiz grades will be dropped at the end of the semester but no make-up quizzes will be given for any reason.
Exams
There are two in-class midterm exams and one cumulative final exam. The midterms are tentatively scheduled for 10/12/09 and 11/9/09. Let me know now if you have any problems making these dates as make-up exams will only be given under extreme circumstances. The final exam will be on Wednesday, December 23, 8:00-11:00am. No notecards or calculators will be allowed on any exam or quiz.
Grading
The grading will be roughly computed according to the following table.| Component | Weight |
| Quizzes | 10% |
| Homework/Workshops/Maple | 10% |
| Midterm 1 | 23% |
| Midterm 2 | 23% |
| Final exam | 34% |
| Total | 100% |
Tentative schedule
| Class | Sections | Topics | Notes |
|---|---|---|---|
| Tue 9/1 |
Workshop 0 | ||
| Wed 9/2 |
12.1, 12.2 | Vectors in the Plane; Vectors in Three Dimensions | |
| Mon 9/7 |
No class -- Labor day. | ||
| Tue 9/8 |
Maple Workshop - Computer lab: ARC-116 | HW 1 due | |
| Wed 9/9 |
12.3, 12.4 | Dot Product and the Angle Between Two Vectors; The Cross Product | Quiz 1 |
| Mon 9/14 |
12.5 | Planes in Three-Space | Maple 1 due (help, data) |
| Tue 9/15 |
13.1, 13.2 | Vector-Valued Functions; Calculus of Vector-Valued Functions | HW 2 due |
| Wed 9/16 |
Workshop 1 | Quiz 2 | |
| Mon 9/21 |
13.3, 13.4, 13.5 | Arc Length and Speed; Curvature; Motion in Three-Space | |
| Tue 9/22 |
14.1, 14.2 | Functions of Two or More Variables; Limits and Continuity in Several Variables | HW 3 due |
| Wed 9/23 |
Workshop 2 | Quiz 3 | |
| Mon 9/28 |
14.3, 14.4 | Partial Derivatives; Differentiability, Linear Approximation and Tangent Planes | |
| Tue 9/29 |
14.5 | The Gradient and Directional Derivatives | HW 4 due |
| Wed 9/30 |
Workshop 3 | Quiz 4 | |
| Mon 10/5 |
14.6 | The Chain Rule | Maple 2 due (help, data) |
| Tue 10/6 |
14.7 | Optimization in Several Variables | |
| Wed 10/7 |
Workshop 4 -- Exam 1 Review | HW 5 due | |
| Mon 10/12 |
Midterm exam 1 | ||
| Tue 10/13 |
14.8 | Lagrange Multipliers: Optimizing with a Constraint | |
| Wed 10/14 |
Workshop 5 | Quiz 5 | |
| Mon 10/19 |
15.1 | Integration in Several Variables | Maple 3 due (help, data) |
| Tue 10/20 |
15.2 | Double Integrals over More General Regions | HW 6 due |
| Wed 10/21 |
Workshop 6 | Quiz 6 | |
| Mon 10/26 |
15.3 | Triple Integrals | |
| Tue 10/27 |
12.7 | Cylindrical and Spherical Coordinates | HW 7 due |
| Wed 10/28 |
Workshop 7 | Quiz 7 | |
| Mon 11/2 |
15.4 | Integration in Polar, Cylindrical, and Spherical Coordinates | |
| Tue 11/3 |
15.5 | Change of Variables | |
| Wed 11/4 |
Workshop 8 -- Exam 2 Review | HW 8 due | |
| Mon 11/9 |
Midterm exam #2 | ||
| Tue 11/10 |
16.1 | Vector Fields | |
| Wed 11/11 |
Workshop 9 | Quiz 8 | |
| Mon 11/16 |
16.2 | Line Integrals | Maple 4 due (help, data) |
| Tue 11/17 |
16.3 | Conservative Vector Fields | HW 9 due |
| Wed 11/18 |
Workshop 10 | Quiz 9 | |
| Mon 11/23 |
16.4 | Parameterized Surfaces and Surface Integrals | |
| Tue 11/24 |
16.5 | Surface Integrals of Vector Fields | HW 10 due |
| Wed 11/25 |
No class -- Happy Thanksgiving. | ||
| Mon 11/30 |
17.1 | Green's Theorem | |
| Tue 12/1 |
17.2 | Stokes' Theorem | HW 11 due |
| Wed 12/2 |
Workshop 11 | Quiz 10 | |
| Mon 12/7 |
17.3 | Divergence Theorem | |
| Tue 12/8 |
Workshop 12 | HW 12 due, Quiz 11 |
|
| Wed 12/9 |
Review for final |
Site created: September 1, 2009