Table of Contents

Math 323 Calculus III

Sections

Section Number Instructor Meeting times
01 Charles Evans MWF 8:00-9:30 OH G102
02 Charles Evans MWF 9:40-11:10 OH G102
03 Vaidehee Thatte MWF 11:20-12:50 OH G102
04 Vaidehee Thatte MWF 1:10-2:40 OH G102
05 Walter Carlip MWF 2:50-4:20 OH G102
06 William Kazmierczak MWF 4:40-6:10 OH G102
07 Changwei Zhou MWF 4:40-6:10 SW 214

Course coordinator: William Kazmierczak

Textbook:

Multivariable Calculus, Eighth Edition, James Stewart
You will need the online code.

Prerequisite:

Math 222, Math 227, or Math 230

Course Objectives:

Develop theoretical and practical skills for multivariable calculus.

Evaluation:

The final grade will be determined as follows:

Tentative Schedule:

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

Week Dates Sections Topics
1 Aug 22–24 12.1 3-D Coordinates
12.2 Vectors
2 Aug 27–31 12.3 Dot Products
12.4 Cross Products
12.5 Lines and Planes
3 Sep 3–7 No Class: Labor Day Holiday
12.6 Quadratic Surfaces
13.1 Vector Valued Functions
4 Sep 10–14 No Class: Rosh Hashanah Holiday
13.2 Derivatives of Vector Valued Functions
13.3 Arc Length
5 Sep 17–21 13.4 Motion in Space
No Class: Yom Kippur Holiday
Exam 1 Review: Chapters 12 and 13
6 Sep 24–28 Exam 1 Chapters 12 and 13
14.1 Functions of Several Variables
14.2 Limits and Continuity
7 Oct 1–5 14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximation
14.5 The Chain Rule
8 Oct 8-12 14.6 Directional Derivatives and the Gradient
14.7 Maxima and Minima
No class: Fall Break
9 Oct 15–19 14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
10 Oct 22–26 15.3 Double Integrals in Polar Coordinates
Exam 2 Review: Chapter 14 and Sections 15.1 - 15.3
Exam 2 Chapter 14 and Sections 15.1 - 15.3
11 Oct 29-Nov 2 15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
12 Nov 5-9 15.9 Change of Variables
16.1 Vector Fields
16.2 Line Integrals
13 Nov 12-16 16.3 The Fundamental Theorem of Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
14 Nov 19-23 Review for Exam 3: Sections 15.4 - 15.9 and 16.1 - 16.5
Exam 3 Sections 15.4 - 15.9 and 16.1 - 16.5
16.6 Parametric Surfaces
15 Nov 26-30 16.7 Surface Integrals
No Class: Thanksgiving Holiday
No Class: Thanksgiving Holiday
16 Dec 3-7 16.8 Stokes' Theorem
16.9 The Divergence Theorem
Review
Dec 10-14 Cumulative Final Exam TBA

Sample Final Examinations:

Sample examinations can be found at the following address:

http://people.math.binghamton.edu/borisov/documents/Calculus_3_Sample_Exam_Collection/MATH323_Sample_Exams.html

Help Outside of Class:

Your instructor will inform you of their office hours for your section.

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.