Math 50C - Multivariable Calculus

Syllabus

Instructor: David Arnold

Prerequisite Classes

You must have successfully completed Math 50A and Math 50B to be eligible to take Math 50C, the third course in calculus.

My Schedule

The following link contains a copy of my schedule, including office hours.

Schedule and Office Hours

Note: These are "official" office hours. However, I will make myself available whenever I can. Please do not be afraid to ask for help at any time as I am always eager to help.

Office Location and Phone

Cancelled Classes

Those driving long distances to attend classes are advised to call 476-4210 before driving to the CR campus. Choose #5 from a menu of choices. You will then be advised of any cancelled classes for the day in the Physical Sciences complex (math/science). Thus, you can avoid the frustration of driving to campus, only to find that your class has been cancelled.

Email

My email address is: David-Arnold@redwoods.edu

Blackboard

Click the Blackboard icon that follows. This will initiate contact with BlackbBoard. Read the Student Introduction, User Name and Password, and Getting Help sections. Read the Updating Student Information section and adjust your personal information. Be sure to write down your login name and password for future reference. It is extremely important that your email address is current!

Once you login to Blackboard, locate your math class and take some time to find out what is provided. Then read the "Welcome Message" in the Discussion Board and reply to to the "Welcome Message" thread. In the future, use the Discussion Board to discuss issues and problems you are having with your class.

Getting Help

Help is available in many forms.

Classroom Environment

It is expected that everyone involved in this class, teacher and students alike, will act in a manner conducive to providing a comfortable environment for learning, a classroom where students feel free to ask and answer questions without fear of embarrassment or ridicule.

It is important to stay on task when class is in session. Hence, conversation not pertaining to the subject at hand should be taken outside the classroom.

I understand that students will have to get up and leave the room for various reasons and I also understand that students will arrive late from time to time. However, courtesy requires that you enter and leave as quietly as possible, without disturbing discussion or lecture.

It is essential for student success to maintain a good environment in the classroom. If you have any personal difficulties with the learning envrionment in the classroom, please visit me in my office to discuss them.

Texts

We will be using:

Computing Resources

The Eureka campus houses computing facilities for its calculus students. They are located in the physical sciences building, rooms PS110 PS116. There are a number of powerful software packages on the machines in this room that will aid in the study of calculus. See your instructor for login name and password.

When you login to the computer, open up the Explorer or My Computer. The H: drive is mapped to your personal space on the server. You should see your login name on this folder. Double-click this folder to open it and reveal several more folders: Desktop, Documents, Library, Movies, Music, Pictures, Public, and Sites.

Computer Lab -- Code of Conduct

Please see labconduct.html for a set of rules and guidelines for computer use and maintaining decorum in the study rooms available in the physical sciences building.

Transferring Files to and from the Department Server

Along with your username and password, which allow you to log on to computers in the Math/Science/Engineering computer labs and print your class assignments, you are granted some file storage space on the Math department's file server, MSEMac, which allows you to save files files and access them at school as well as at home. Using the server to store and back up your class files will help ensure that you are always up-to-date on your assignments, will let you work on projects in multiple places, can guard against computer failure, and lets you transfer files from campus and back without needing a memory stick.

The process for connecting to MSEMac is different for Macs and PCs (the former is somewhat simpler). If you have a Mac, please read our guide to connecting to MSEMac for Macs, and if you have a PC, please read our guide to connecting to MSEMac for PCs.

Calculators

Most of our computation and plotting will be done with Matlab. Whatever graphing calculator you currently own will be sufficient for your needs in this course.

One important issue is the TI89 graphing calculator, which does symbolic calculation, including differentiation and integration. It is my position that you should be able to both integrate and differentiate without the use of this calculator. Therefore, it is essential that you show all steps on your homework when performing any integrations to receive full credit for your work.

Matlab

Matlab is a powerful software package created by the engineers at the Mathworks. Matlab software can be installed on several platforms, including Linux, Mac OS X, and Windows XP.

If you do not have a computer capable of running the Matlab software, then you can take advantage of the computing power located in rooms PS116 and PS118. Matlab is installed on each of these machines for use by students in differential equations.

You can also purchase the student edition of Matlab 7 at

http://www.mathworks.com/academia/student_version/.

Please check

http://www.mathworks.com/academia/student_version/requirements.html

to see if your system has adequate hardware to run this release of Matlab. This kit includes the Matlab software, the Symbolic Toolbox (an interface to Maple), and Simulink, powerful engineering modeling and design software. The kit also contains a version of the Image Processing and Signal Processing toolboxes, as well as other assorted toolboxes.

The best source I know of for learning Matlab 7 is Mastering Matlab 7. You can learn all about it at the Mastering Matlab Web Site..

Quizzes

Over the years, I have become more and more frustrated with the approach that students take in their studies. Typically, when students know an exam is coming up, they put on hold studies in their other classes to "cram" for the upcoming test. This is perfectly understandable and I freely admit that I did much the same thing when I was a student.

However, this is really not a good way to learn. Often, students are frustrated to find themselves behind in their other classes as they stuggle to prepare for an exam. They are unable to participate in lectures and they cannot follow the material in class because they are sections behind in their work. This is also frustrating for the teacher as he often winds up talking to himself during lecture.

Consequently, every week or two, you will be given a set of problems in the form of a take home quiz to work on. You will be given approximately 5-7 days to work on your solutions. You will be required to write out an honor pledge stating that the work on the quiz is your own. The honor pledge is to be stapled to the top of your work.

Homework

Homework will be assigned daily and will be due the next class meeting. Each homework will be assigned a grade ranging from 0-10 points, bases on completeness, the following of directions, and the quality of work.

It is essential that students keep up with the homework on a daily basis. Each time you come to class without your homework, you are not prepared to take part in the class at a level geared to your success. Therefore, students are encouraged to hand in homework on time. However, I am acutely aware of the responsibilities that many students have to deal with outside the classroom. Consequently, I do allow a "grace period" of one class period for late work. That is, if you hand your homework in by the next class period, I will still accept the assignment. However, there is an automatic 2-point deduction for late work. Homework later than one class period will not be accepted.

If you are experiencing difficulty getting your homework in on time, or if you know an upcoming event will interfere with getting your homework in on time, please discuss this with your instructor. We can possibly make some arrangment to help facilitate the completion of your work.

In order to facilitate the recording of homework scores, students are required to place their name in the upper right-hand corner of their homework assignment and staple the pages together with a single staple in the upper left-hand corner. On the first line of the of the first page of your homework, please write down the assignement number, the pages that encompass the assignement, and list each exercise number assigned. For example, the first line of your homework might read:

Assignment #12, Page 150, #1, 3, 5, 7, 8, 10, 11, 23, 45

Projects

All students are required to complete a term project which I like to call "The Special Plane Curves Project." I would encourage you to work in pairs because that way you can share the workload with your partner. However, I will allow you to work alone if you prefer. Groups of three or more are not allowed.

Each student or student team will pick a "Special Plane Curve" to study and present to the class on the final examination meeting.

A Sampling of Sources

An excellent online source can be found at:

http://www.xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html

Another nice source is:

http://www-gap.dcs.st-and.ac.uk/~history/Curves/Curves.html

Mathworld at Wolfram is another nice site:

http://mathworld.wolfram.com/topics/PlaneCurves.html

The above is just a sampling of some of the excellent sources you can find on the internet. Use your favorite search engine to find additional sources of information.

Of course, there are some excellent texts on the subject. One of my favorites is A Book of Curves by E.H. Lockwood. I have a copy I keep in my office, but this is an excellent book to own, particularly if you are considering a career in mathematics. Another nice source is Robert C. Yates' Curves and their properties. Again, I keep a copy of this in my office. A search of the CR or HSU libraries might also turn up additional gems.

Presentation

Student teams will be required to present their work during the final examination meeting in front of their peers. It is expected that you make use of some sort of presentation software to prepare "slide" for your talk. You should also include the use of mathematical software packages (such as Matlab or Geometer's Sketchpad) in your presentation.

Paper

Student teams are required to present a paper with all of their mathematics and graphics which will be posted online. I will allow a variety of formats. You can work in HTML, or Latex, or Word. You use PDF format if that appeals. See me for help in making your decision. Note: Latex is the preferred instrument of mathematicians and scientists for publishing their work. Any time invested in the learning of Latex is an investment in your future. I will be happy to help anyone who is interested in using Latex to publish their work.

The Geometer's Sketchpad has a feature that allows you to post dynamic sketches as Java applets on the web. This is very easy to do and has been a popular and fun part of the Special Plane Curves project over the years.

You can see samples of past student work at:

http://online.redwoods.cc.ca.us/instruct/darnold/CalcProj/Index.htm

The project will be worth 100 pts towards your final grade.

Grades

To determine your grade in the class, points from homework, quizzes, and the Special Plane Curves project will be totaled, then curved to determine a final grade in the class.

When Problems Arise

Should problems arise during the semester, always contact your instructor to let me know what's going on. That's the only way I can help.

The Syllabus is Subject to Change

As instructor, I reserve the right to make adjustments to the syllabus should things not proceed as smoothly as expected. However, in general, I do not anticipate making changes.