UNDER CONSTRUCTION
| Section | Instructor | Meets | Room |
|---|---|---|---|
| 01 | Brian Kirby | MWF 8:00-9:30 | WH-G002 |
| 02 | Richard Behr | MWF 8:00-9:30 | OH-G102 |
| 03 | Quincy Loney | MWF 9:45-11:15 | LN-1406 |
| 04 | Abraham Berman | MWF 9:45-11:15 | CW-108 |
| 05 | Quincy Loney | MWF 11:45-1:15 | CW-110 |
| 06 | Huy Dang | MWF 1:30-3:00 | OH-G102 |
| 07 | Abraham Berman | MWF 1:30-3:00 | CW-307 |
| 08 | Huy Dang | MWF 3:15-4:45 | OH-G102 |
Course Coordinator: Quincy Loney
Multivariable Calculus, 9th Edition, James Stewart
You will need an online access code to WebAssign. More info on this below.
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”.
Math 227 or Math 230
Develop theoretical and practical skills for multivariable calculus. Specifically, students are expected to be able to demonstrate the following:
The final grade will be determined as follows:
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…
| Week | Dates | Sections | Topics | |
|---|---|---|---|---|
| 1 | Jan 21 - 23 | 12.1 | 3-D Coordinates | |
| 12.2 | Vectors (Skip Physic Problems/Applications) | |||
| 2 | Jan 26 - 30 | 12.3 | Dot Products (Skip Direction Angles) | |
| 12.4 | Cross Products (Skip Torque & Triple Product) | |||
| 12.5 | Lines and Planes (Skip Distances) | |||
| 3 | Feb 2 - 6 (Add/Drop Deadline is February 2nd) | 12.6 | Quadric Surfaces | |
| 13.1 | Vector Valued Functions | |||
| 13.2 | Derivatives of Vector Valued Functions | |||
| 4 | Feb 9 - 13 | 13.3 | Arc Length Only (Skip Curvature & Normal/Binormal Vectors) | |
| 13.4 | Motion in Space (Skip Tangential & Normal Components of Acceleration) | |||
| Review | Exam 1 Review: Chapters 12 and 13 | |||
| 5 | Feb 16 - 20 | Exam 1 | Chapters 12 and 13 | |
| 14.1 | Functions of Several Variables | |||
| 14.2 | Limits and Continuity | |||
| 6 | Feb 23 - 27 | 14.3 | Partial Derivatives | |
| 14.4 | Tangent Planes and Linear Approximation | |||
| Rejuvenation Day, No Classes | ||||
| 7 | Mar 2 - 6 | 14.5 | The Chain Rule | |
| 14.6 | Directional Derivatives and the Gradient | |||
| 14.7 | Maxima and Minima | |||
| 8 | Mar 9 - 13 | 14.8 | Lagrange Multipliers | |
| 15.1 | Double Integrals over Rectangles | |||
| 15.2 | Double Integrals over General Regions | |||
| 9 | Mar 16 - 20 | 15.3 | Double Integrals in Polar Coordinates | |
| Review | Exam 2 Review: Sections 14.1-15.3 | |||
| Exam 2 | Sections 14.1-15.3 | |||
| 10 | Mar 23 - 27 (Withdrawal Deadline is March 24th) | 15.6 | Triple Integrals | |
| 15.7 | Triple Integrals in Cylindrical Coordinates | |||
| 15.8 | Triple Integrals in Spherical Coordinates | |||
| 11 | Mar 30 - Apr 3 | Spring Break, No Classes | ||
| 12 | Apr 7 - 10 (Monday Classes Meet on Tuesday April 7) | 16.1/16.2 | Vector Fields/Line Integrals | |
| 16.3 | The Fundamental Theorem of Line Integrals (FTL) | |||
| 16.4 | Green's Theorem | |||
| 13 | Apr 13 - 17 | 16.2-16.4 Problems | More Line Integrals, FTL, Green's Theorem | |
| 16.5 | Curl and Divergence | |||
| 16.6 | Parametric Surfaces | |||
| 14 | Apr 20 - 24 | 16.7 | Surface Integrals | |
| 16.7 | Surface Integrals | |||
| 16.8 | Stokes' Theorem | |||
| 15 | Apr 27 - May 1 | 16.8 | Stokes' Theorem | |
| 16.9 | Divergence Theorem | |||
| 16.7-16.9 Problems | More Surface Integrals, Stokes' Theorem, Divergence Theorem | |||
| 16 | May 4 - 6 | Review | The test is cumulative with about 80% of the exam covering sects 15.6-16.9 | |
| 17 | May 8 - 14 | Final Exam | View Final Exam schedule |
There is free tutoring offered though University Tutoring Services. All information regarding tutoring can be found here: http://www.binghamton.edu/clt/tutoring-services/index.html
If you have test anxiety, you might find Success Couching a useful service: https://www.binghamton.edu/offices/success/success-coaching/index.html
Khan Academy YouTube series: https://www.youtube.com/playlist?list=PLSQl0a2vh4HC5feHa6Rc5c0wbRTx56nF7
Paul's Online Notes has some excellent practice problems for Multivariable Calculus [Calculus III] along with detailed solutions: https://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx
If you need accommodations for a disability, please see your instructor with documentation from Services for Students with Disabilities. We will do our best to accommodate your needs.
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. All students should be familiar with the University's Student Academic Honesty Code.
The math help rooms and free tutoring from the CLT can be very useful. The very best students are the ones who ask for help.
Please note that no calculators are allowed during exams.
This course is a 4-credit course, which means that students are expected to do at least 12.5 hours of course-related work or activity each week during the semester. This includes scheduled class lecture/discussion meeting times as well as time spent completing assigned readings, studying for tests and examinations, participating in lab sessions, preparing written assignments, and other course-related tasks.