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Math 323 Calculus III, Spring 2021


Section Number Instructor Meeting times
01 Ulysses Alvarez MWF 8:00-9:30 (online)
02 Sayak Sengupta MWF 8:00-9:30 (online)
03 Jonathan Williams MWF 9:40-11:10 (online)
04 John Brown MWF 11:20-12:50 (online)
05 Nicholas Lacasse MWF 1:10-2:40 (online)
06 John Brown MWF 1:10-2:40 (online)
07 Zachary Costanzo MWF 2:50-4:20 UU 209
09 Andrew Lamoureux MWF 4:40-6:10 S1 149

Course coordinator: Jonathan Williams


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

Homework and WebAssign

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 have a multi-term access code or “Cengage Unlimited” from 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 purchase ($119.99) “Cengage Unlimited”, 1 term -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. All information regarding how to login with Class Key and purchase an access code can be found here WebAssign Student Quick Start Guide

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

WebAssign Login Page


Math 222, Math 227, or Math 230

Course Objectives

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:

  • Test 1, 20% (March 10)
  • Test 2, 20% (April 9)
  • Test 3, 20% (May 7)
  • Final Exam, 25% (see the schedule)
  • HW/Quizzes, 15%

Tentative Schedule

(subject to change and adjustment at your instructor's discretion)

Week Dates Sections Topics
1 Feb 12 12.1 3-D Coordinates
2 Feb 15-19 12.2 Vectors
12.3 Dot Products
12.4 Cross Products
3 Feb 22-26 12.5 Lines and Planes
12.6 Quadric Surfaces
13.1 Vector Valued Functions
4 March 1-5 13.2 Derivatives of Vector Valued Functions
13.3 Arc Length
13.4 Motion in Space
5 March 8-12 Review Exam 1 Review: Chapters 12 and 13
Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
6 March 15-19 14.2 Limits and Continuity
March 17 No Class
March 19 14.3 Partial Derivatives
7 March 22-26 14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient
8 March 29-April 2 14.7 Maxima and Minima
14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
9 April 5-9 15.2 Double Integrals over General Regions
Review Exam 2 Review: Sections 14.1-15.2
Exam 2 14.1-15.2
10 April 12-16 15.3 Double Integrals in Polar Coordinates
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
11 April 19-23 15.8 Triple Integrals in Spherical Coordinates
16.1 Vector Fields
16.2 Line Integrals
12 April 26-30 16.3 The Fundamental Theorem of Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
13 May 3-7 16.6 Parametric Surfaces
Review Exam 3 review: Sections 15.3-16.6
Exam 3 15.3-16.6
14 May 10-14 16.7 Surface Integrals
16.8 Stokes' Thm
16.9 Divergence Thm
15 May 17 Review Exam 4 Review: Sections 15.7 - 15.8 and 16.1 - 16.7
May 19-21 Final Exam - check the schedule

Exam Samples

Help Outside of Class

There is free tutoring offered though University Tutoring Services. All information regarding tutoring can be found here:

If you have test anxiety, the Discovery Program has helpful information regarding test-taking strategies, found here:

Disability Services

If you need accommodations to to a disability, please see your instructor with documentation from Services for Students with Disabilities. We will do our best to accommodate your needs.

Academic Honesty

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.

The shift to remote and hybrid teaching due to the COVID-19 pandemic has required that both instructors and students make changes to their normal working protocols for courses. Students are asked to practice extra care and attention in regard to academic honesty, with the understanding that all cases of plagiarism, cheating, multiple submission, and unauthorized collaboration are subject to penalty. Students may not collaborate on exams or assignments, directly or through virtual consultation, unless the instructor gives specific permission to do so. Posting an exam, assignment, or answers to them on an online forum (before, during, or after the due date), in addition to consulting posted materials, constitutes a violation of the university’s Honesty policy. Likewise, unauthorized use of live assistance websites, including seeking “expert” help for specific questions during an exam, can be construed as a violation of the honesty policy. All students should be familiar with the University’s Student Academic Honesty Code.

Other important information

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.

calculus/math_323/start.txt · Last modified: 2021/02/03 13:48 by jwilliams