This syllabus includes information common to all sections. Your own instructor will give you additional details.

Multivariable Calculus, 9th Edition, James Stewart
You will need an online access code to WebAssign. More info on this below.

• Chapter 12: Vectors and the Geometry of Space
• Chapter 13: Vector Functions
• Chapter 14: Partial Derivatives
• Chapter 15: Multiple Integrals
• Chapter 16: Vector Calculus

For each section of material covered there will be an assignment of problems on WebAssign. Your WebAssign homework counts towards your grade. Study groups are encouraged, but students should not become too dependent on others. Watching the instructor, or other students, do the problems will not be enough to learn the material. It will be necessary for you to do many exercises yourself in order to be successful on the exams. Attempts to solve homework problems provide the best way to learn the material and to prepare for exams.

WebAssign is an online homework system which includes an e-book version of our text. If you purchased the textbook package from our Bookstore or “Cengage Unlimited” when taking 226/227, then you do not need to purchase another one. If you buy the book through the Binghamton University Bookstore then it comes with an access code. If you do not wish to buy the textbook package through the Bookstore, then you can instead purchase “Cengage Unlimited” (1-semester or 4 months). This comes with the ebook and can also be purchased through our Bookstore. “Cengage Unlimited” also comes with the option to rent a hard copy of the textbook by just paying for shipping and handling. You'll have temporary free access to WebAssign for two weeks into the semester without an access code.

To gain access to your WebAssign section you need to submit the “Class Key” that you receive from your instructor. All information regarding how to login with Class Key and purchase an access code can be found here Binghamton University WebAssign Registration

Your username is your Binghamton University username and the institution code is “binghamton”.

WebAssign Login Page

Math 227 or Math 230

Develop theoretical and practical skills for multivariable calculus. Specifically, students are expected to be able to demonstrate the following:

• Visualize geometry in three-dimensional space
• Find and apply vector and scalar equations of lines and planes in three-dimensional space
• Understand the calculus of vector-valued functions
• Solve unconstrained and constrained optimization problems
• Find and interpret partial derivatives, directional derivatives, and gradients
• Set up and evaluate double and triple integrals in rectangular, cylindrical, and spherical coordinates
• Set up and evaluate line and surface integrals in addition to applying Green's, Stokes', and Divergence Theorem

The final grade will be determined as follows:

• Exam 1, 25%
• Exam 2, 25%
• Final Exam, 30% (see the schedule)
• Section Grade, 20% (Breakdown at the discretion of the professor, e.g. HW-10%, Quizzes-10% or HW-1%, Attendance-4% Quizzes-15%)

The grading scale for MATH 323 Spring 2026 is: A>=90%, B>=75%, C>=60%, D>=50%, F<50%. Individual instructors will set the cutoffs for A-, B+, etc…

The syllabus for Math 323 in Spring 2026 is available through this link: Spring 2026 page

The syllabus for Math 323 in Fall 2025 is available through this link: Fall 2025 page