Syllabus

The purpose of this course is to introduce you to the basic concepts, topics, and techniques of calculus in three (and higher!) dimensions. This includes the following topics at a minimum (not necessarily in this order):

• real vectors and geometry in 3 dimensions
• vector functions and their calculus
• functions of several variables and their limits, continuity, and differentiability
• partial derivatives and multiple integrals
• topics in vector calculus at large

See the schedule of topics for our day-to-day schedule.

My lectures will roughly follow Multivariable Calculus 9e by James Stewart. It should be possible to do well in this course without a textbook, but I suspect that would be difficult.

Here are some free alternatives to the Stewart book.

• Calculus by Gilbert Strang (PDF download)

I won't tolerate deviation from the following standards.

• You will submit your own work, and adhere to the BU policy on Academic Honesty.
• You will be courteous to other students and myself during ALL interactions.
• You will communicate with me if you have any concerns–I can't help you if I don't know you have a problem!
• You will READ YOUR EMAILS.
• Your solutions will clearly demonstrate the logic you used, and may only use methods and notations discussed in my lectures or OK'd by me in advance.

I encourage collaboration between students on written homework assignments and on practice problems; if you do work with another student, you MUST CITE THEM as a collaborator on each problem you did together. Collaboration on Quizzes is FORBIDDEN unless I say otherwise.

Collaboration means that both parties contributed to producing the solution. Copying (and allowing another student to copy) solutions is NEVER collaboration–that is cheating and will be treated as such. If you have any doubts as to whether what you plan to do is collaboration, ask me by email.

I will give feedback on work using Gradescope. Gradescope submissions must conform to the following standards; FAILURE TO DO SO WILL RESULT IN AN AUTOMATIC 0 ON THE AFFECTED PROBLEMS/ASSIGNMENTS.

1. All problems must be linked to the appropriate pages.
2. All work must be legible (as judged by me).
3. All solutions must be submitted in PDF format from a scanner application (e.g. Genius Scan is free for both iOS and Android with a university email).

Here is a video explaining the submission process on Gradescope.

Cheating is considered a very serious offense. According to the University Catalog, cheating consists of: “Giving or receiving unauthorized help before, during or after an examination”. The full strength of Binghamton Academic Honesty Policy will be applied to anyone caught cheating. This may include failing the course, and further disciplinary action.

YOU are responsible for obtaining the final grade you want in this course. If you want an A, make sure your grades are in the A range.

There is NO EXTRA CREDIT, so don't ask for it. If you need help, I can provide it as long as I know you are looking for help. When all is said and done, you will get the grade you earn.

Your final grade is based entirely on your exam scores (cf. the maths department webpage): Exam 1 (15%), Exam 2 (30%), Exam 3 (15%), Final Exam (40%).

Grades will be awarded on the following scale: