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Math 323 Calculus III, Spring 2020


Section Number Instructor Meeting times
01 Ulysses Alvarez MWF 8:00-9:30 CW 214
02 Eran Crockett MWF 8:00-9:30 CW 212
03 John Brown MWF 9:40-11:10 SL 306
04 John Brown MWF 11:20-12:50 SL 306
05 Jonathan Williams MWF 1:10-2:40 LH 4
06 Theodore Ofner MWF 1:10-2:40 LH 13
07 Theodore Ofner MWF 2:50-4:20 LH 13
09 Haomiao Meng MWF 4:40-6:10 LH 5

Note CW was previously SW. It is the building between AA and LH.

Course coordinator: Jonathan Williams


Multivariable Calculus, Eighth 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:

  1. Visualize geometry in three-dimensional space
  2. Find and apply vector and scalar equations of lines and planes in three-dimensional space
  3. Understand the calculus of vector-valued functions
  4. Solve unconstrained and constrained optimization problems
  5. Find and interpret partial derivatives, directional derivatives, and gradients
  6. Set up and evaluate double and triple integrals in rectangular, cylindrical, and spherical coordinates
  7. 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, 15% (Week 5)
  • Test 2, 15% (Week 9)
  • Test 3, 15% (Week 13)
  • Quizzes, 15%
  • Homework, 5%
  • Final, 35% (see the schedule)

Tentative Schedule

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

Week Dates Sections Topics
1 Jan 22, 24 12.1 3-D Coordinates
12.2 Vectors
2 Jan 27-31 12.3 Dot Products
12.4 Cross Products
12.5 Lines and Planes
3 Feb 3-7 12.6 Quadric Surfaces
13.1 Vector Valued Functions
13.2 Derivatives of Vector Valued Functions
4 Feb 10-14 13.3 Arc Length
13.4 Motion in Space
Review Exam 1 Review: Chapters 12 and 13
5 Feb 17-21 Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
14.2 Limits and Continuity
6 Feb 24-28 14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
7 Mar 2,4 14.6 Directional Derivatives and the Gradient
14.7 Maxima and Minima
Mar 6 No Class Winter Break
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
Classes canceled
Exam 2 Review: Chapter 14 and Sections 15.1 - 15.3
10 Mar 23-27 Exam 2 Chapter 14 and Sections 15.1 - 15.3
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
11 Mar 30-Apr 3 15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables
16.1 Vector Fields
Apr 6-10 No Class Spring Break
12 Apr 13-17 16.2 Line Integrals
16.3 The Fundamental Theorem of Line Integrals
16.4 Green's Theorem
13 Apr 20-24 16.5 Curl and Divergence
Review for Exam 3: Sections 15.6 - 15.9 and 16.1 - 16.5
Exam 3 Sections 15.6 - 15.9 and 16.1 - 16.5
14 Apr 27-May 1 16.6 Parametric Surfaces
16.7 Surface Integrals
16.8 Stokes' Theorem
15 May 4 Final exam review
16 Cumulative Final Exam - see schedule

Sample Exams

Help Outside of Class

The Calculus III Help Room, located in Whitney Hall (WH-233), is staffed by instructors who teach the course and will be open after the first week of classes. Students can walk in with no appointment and can ask questions of any available instructor.

Click here for the Math Help Room schedule.

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.

Other important information

The final is comprehensive and mandatory. There will be no make-up for the final exam except for extraordinary circumstances. Failure to take the final will result in a grade of F for the class. University photo ID is required to take the exam. 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: 2020/03/17 19:19 by jwilliams