User Tools

Site Tools


calculus:math_323:start

Math 323 Calculus III, Fall 2025

Sections

Section Number Instructor Meeting times
01 Brian Kirby MWF 8:00-9:30, OH G102
02 Mathew Wolak MWF 9:45-11:15, CW 112
03 Mathew Wolak MWF 11:45-1:15, CW 112
04 Thomas Zaslavsky MWF 1:30-3, AP G015
05 Tae Young Lee MWF 3:15-4:45, LH 004
06 Abraham Berman MWF 3:15-4:45, AP G015
07 John Abou-Rached MWF 5-6:30, CW 204
08 David Biddle MWF 8-9:30, LN 2447
09 Sarah Lamoureux MWF 11:45-1:15, CW 314

Course coordinator: David Biddle [dbiddle@binghamton.edu]

Textbook

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

Prerequisite

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

Evaluation

The final grade will be determined as follows:

  • Test 1, 25%
  • Test 2, 25%
  • Final Exam, 30% (see the schedule)
  • HW & Quizzes, 20% (breakdown at the discretion of the professor, e.g. HW-10%, Quizzes-10% or HW-5%, Quizzes-15%)

Tentative Schedule

Week Dates Sections Topics
1 Aug 20-22 12.1 3-D Coordinates
12.2 Vectors (Skip Physic Problems/Applications)
2 Aug 25-29 12.3 Dot Products (Skip Direction Angles)
12.4 Cross Products (Skip Torque & Triple Product)
12.5 Lines and Planes (Skip Distances)
3 Sept 2-5 (Add/Drop Deadline is Sept 2nd) 12.6 Quadric Surfaces
13.1 Vector Valued Functions
13.2 Derivatives of Vector Valued Functions
4 Sept 8-12 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 Sept 15-19 Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
14.2 Limits and Continuity
6 Sept 22-26 14.3 Partial Derivatives
No classes (Rosh Hashanah)
No classes (Rosh Hashanah)
7 Sept 29-Oct 3 14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient
8 Oct 6-10 14.7 Maxima and Minima
Classes dismiss at 1 p.m. (Yom Kippur)
14.8 Lagrange Multipliers
9 Oct 13-17 15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
15.3 Double Integrals in Polar Coordinates
10 Oct 20-24 Review Exam 2 Review: Sections 14.1-15.3
Exam 2 14.1-15.3
15.6 Triple Integrals
11 Oct 27-31 (Withdrawal Deadline is October 28th) 15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
16.1 Vector Fields
12 Nov 3-7 16.2 Line Integrals
16.3 The Fundamental Theorem of Line Integrals (FTL)
16.4 Green's Theorem
13 Nov 10-1416.2-16.4 Problems More Line Integrals, FTL, Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces
14 Nov 17-21 16.7 Surface Integrals
16.7 Surface Integrals
16.8 Stokes' Thm
15 Nov 24-28 16.8 Stokes' Thm
Thanksgiving Break
Thanksgiving Break
16 Dec 1-5 16.9 Divergence Thm
16.7-16.9 Problems More Surface Integrals, Stokes' Thm, Divergence Thm
Review The test is cumulative with about 80% of the exam covering sects 15.6-16.9
17 Dec 8-12 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: 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

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: 2025/08/17 18:53 by biddle