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Math 323 Calculus III, Fall 2021

Sections

Section Number Instructor Meeting times
01 Christopher Eppolito MWF 8:00-9:30, UU 206
02 Christopher Eppolito MWF 9:40-11:10, UU 108
03 Paul Barber MWF 11:20-12:50, S2 G52
05 Thomas Kilcoyne MWF 2:50-4:20, LH 004
06 Thomas Kilcoyne MWF 4:40-6:10, CW 321
07 Bill Kazmierczak MWF 4:40-6:10, CW 323

Course coordinator: Dr. Bill Kazmierczak, Director of calculus

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 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

Prerequisite

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

Evaluation

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

Still in Progress

Week Dates Sections Topics
1 Aug 25-27 12.1 3-D Coordinates
12.2 Vectors
2 Aug 30-Sep 3 12.3 Dot Products
12.4 Cross Products
12.5 Lines and Planes
3 Sep 6-10 No Class Labor day
No Class Rosh Hashanah
12.6 Quadric Surfaces
4 Sep 13-17 13.1 Vector Valued Functions
13.2 Derivatives of Vector Valued Functions
13.3 Arc Length
5 Sep 20-24 13.4 Motion in Space
Review Exam 1 Review: Chapters 12 and 13
Exam 1 Chapters 12 and 13
6 Sep 27-Oct 1 14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
7 Oct 4-8 14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient
8 Oct 11-15 14.7 Maxima and Minima
14.8 Lagrange Multipliers
No Class Fall Break
9 Oct 18-22 15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
15.3 Double Integrals in Polar Coordinates
10 Oct 25-29 Review Exam 2 Review: Sections 14.1-15.3
Exam 2 14.1-15.3
15.6 Triple Integrals
11 Nov 1-5 15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
16.1 Vector Fields
12 Nov 8-12 16.2 Line Integrals
Withdraw Deadline is Nov 10 16.3 The Fundamental Theorem of Line Integrals
16.4 Green's Theorem
13 Nov 15-19 16.5 Curl and Divergence
Review Exam 3 review: Sections 15.3-16.5
Exam 3 Sections 15.3-16.5
14 Nov 22-26 16.6 Parametric Surfaces
No Class Thanksgiving Break
No Class Thanksgiving Break
15 Nov 29-Dec 3 16.7 Surface Integrals
16.7 Surface Integrals
16.8 Stokes' Thm
16 Dec 6-10 16.8 Stokes' Thm
16.9 Divergence Thm
Review Final Exam Review: The test is cumulative.
17 Dec 13-17 Final Exam, date & time TBA by Registrar View Final Exam schedule

Sample Exams

Help Outside of Class

The Math 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: http://www.binghamton.edu/clt/tutoring-services/index.html

If you have test anxiety information about how to handle anxiety can be found here:https://www.binghamton.edu/hpps/mental-health/anxiety.html

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 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: 2021/11/13 15:03 by kaz