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Math 323 Calculus III, Fall 2023


Section Number Instructor Meeting times
01 John Abou-Rached MWF 8:00-9:30, CW 112
02 John Abou-Rached MWF 9:40-11:10, CW 112
03 Adam Weisblatt MWF 11:20-12:50, LH 004
04 Jonathan Williams MWF 1:10-2:40, CW 112
05 Jonathan Williams MWF 2:50-4:20, CW 112
06 Abraham Berman MWF 4:40-6:10, OH G102
07 L. William Kazmierczak MWF 4:40-6:10, CW 204

Course coordinator: Prof. L. William Kazmierczak


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 “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

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 Aug 23-25 12.1 3-D Coordinates
12.2 Vectors (Skip Physic Problems/Applications)
2 Aug 28-Sep 1 12.3 Dot Products (Skip Direction Angles)
12.4 Cross Products (Skip Torque & Triple Product)
12.5 Lines and Planes (Skip Distances)
3 Sep 4-8 Monday Class Meets on Tuesday Sep 5 (Add/Drop Deadline is Sep 5) 12.6 Quadric Surfaces
13.1 Vector Valued Functions
13.2 Derivatives of Vector Valued Functions
4 Sep 11-15 13.3 Arc Length Only (Skip Curvature & Normal/Binormal Vectors)
13.4 Motion in Space (Skip Tangential & Normal Components of Acceleration)
No Class
5 Sep 18-22 Review Exam 1 Review: Chapters 12 and 13
Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
6 Sep 25-29 No Class
14.2 Limits and Continuity
14.3 Partial Derivatives
7 Oct 2-6 14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient
8 Oct 9-13 14.7 Maxima and Minima
14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
9 Oct 16-20 15.2 Double Integrals over General Regions
No Class
No Class
10 Oct 23-27 Review Exam 2 Review: Sections 14.1-15.2
Exam 2 14.1-15.2
15.3 Double Integrals in Polar Coordinates
11 Oct 30-Nov 3 (Withdraw Deadline is Oct 31) Class Cancelled
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
12 Nov 6-10 15.8 Triple Integrals in Spherical Coordinates
16.1 Vector Fields
16.2 Line Integrals
13 Nov 13-17 16.3 The Fundamental Theorem of Line Integrals
16.4 Green's Theorem
Review Exam 3 review: Sections 15.2-16.4
14 Nov 20-24 Exam 3 Sections 15.2-16.4
16.5 (Class Meets on Tuesday Nov 21) Curl and Divergence
No Class Nov 22-24 Thanksgiving Break
15 Nov 27-Dec 1 16.6 Parametric Surfaces
16.7 Surface Integrals
16.7 & 16.8 Surface Integrals & Stokes Thm
16 Dec 4-8 16.8 Stokes' Thm
16.9 Divergence Thm
Review Final Exam Review: The test is cumulative with about 50-60% of the exam covering sects 16.5-16.9
17 Dec 11-15 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: 2023/10/31 07:00 by kaz