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Math 323 Calculus III, Spring 2023


Section Number Instructor Meeting times
01 Matthew Haulmark MWF 8:00-9:30, CW 212, RESTRICTED WATSON
02 Nicholas Lacasse MWF 8:00-9:30, CW 321
03 Eugenia Sapir MWF 9:40-11:10, AA G007
04 Nicholas Lacasse MWF 11:20-12:50, CW 321
05 Eugenia Sapir MWF 1:10-2:40, SL 302
06 Wei Yang MWF 1:10-2:40, WH G002
07 Abraham Berman MWF 2:50-4:20, OH G102
08 Abraham Berman MWF 4:40-6:10, OH G102

Course coordinator: Prof. Eugenia Sapir


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 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 ($155.99) “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. 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 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, 18%
  • Test 2, 18%
  • Test 3, 18%
  • Final Exam, 25% (see the schedule)
  • HW, 6%
  • Quizzes, 15%

Tentative Schedule

Week Dates Sections Topics
1 Jan 18-20 12.1 3-D Coordinates
12.2 Vectors (Skip Physic Problems/Applications)
2 Jan 23-27 12.3 Dot Products (Skip Direction Angles)
12.4 Cross Products (Skip Torque & Triple Product)
12.5 Lines and Planes (Skip Distances)
3 Jan 30-Feb 3 (Add/Drop Deadline is Jan 30) 12.6 Quadric Surfaces
13.1 Vector Valued Functions
13.2 Derivatives of Vector Valued Functions
4 Feb 6-10 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 13-17 Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
14.2 Limits and Continuity
6 Feb 20-24 14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
7 Feb 27-Mar 3 14.6 Directional Derivatives and the Gradient
14.7 Maxima and Minima
No Class
8 March 6-10 14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
9 March 13-17 Review Exam 2 Review: Sections 14.1-15.2
Exam 2 14.1-15.2
Withdraw Deadline is Mar 17 15.3 Double Integrals in Polar Coordinates
10 Mar 20-24 15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
11 Mar 27-31 16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem of Line Integrals
12 April 3-7 No Class Spring Break
13 April 10-14 No Class Spring Break
16.4 Monday classes meet Green's Theorem
16.5 Curl and Divergence
14 April 17-21 Review Exam 3 review: Sections 15.2-16.5
Exam 3 Sections 15.2-16.5
16.6 Parametric Surfaces
15 April 24-28 16.7 Surface Integrals
16.7 Surface Integrals
16.8 Stokes' Thm
16 May 1-3 16.8 Stokes' Thm
May 2: Friday classes meet 16.9 Divergence Thm
Review Final Exam Review: The test is cumulative.
17 May 5-11 Final Exam View Final Exam schedule

Sample Exams

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 information about how to handle anxiety can be found here:

Disability Services

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.

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. All students should be familiar with the University's Student Academic Honesty Code.

Other important information

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.

calculus/math_323/start.txt · Last modified: 2023/01/15 14:10 by kaz