Math 221 (Section 504) – Fall 2015

Several Variable Calculus

TuTh 2:20 – 3:35, BLOC 161
W 3:00 – 3:50, BLOC 161

Quick Links:

Homework Assignments:

Additional Problems:

Math Department Math 221 Web Page:

Help Sessions Schedule:

Final Exam, Wednesday, Dec. 16 (1:00–3:00 PM, BLOC 161)

Exam 2, Thursday, Nov. 5 (in class) Solution Key

Exam 1, Thursday, Oct. 1 (in class) Solution Key

Course Description:

This is a course in vector calculus. Topics include vector algebra and solid analytic geometry; calculus of functions of several variables; Lagrange multipliers; multiple integration, theory, methods and application; line and surface integrals, Green's and Stokes' theorems; Jacobians. It is designed to be more demanding than MATH 251 and MATH 253. Credit will not be given for more than one of MATH 221, MATH 251 and MATH 253.

Course Information:

Instructor: Matthew Papanikolas

Office Hours: Tues. 4:00-5:00, Thurs. 10:30-11:30; also by appointment

Office: Blocker 641H


Textbook: The required textbook is Calculus, Early Vectors, by James Stewart, Thomson Brooks/Cole, 1999, ISBN 0-534-49348-3.

Course Syllabus: The course covers most of chapters 11-14. See below for a detailed weekly syllabus.

Calculators: Use of calculators on homework is perfectly acceptable. However, calculators will not be permitted on exams.

Prerequisite: Math 172 (second semester calculus) or approval of instructor.

Course Webpage:

Department Webpage: The department's page on Math 221 is available here.


Homework Problem Sets: There will be weekly assignments of problems from the text, which will be turned in for a grade. Your lowest homework score will be dropped at the end of the semester when calculating your homework average. Homework sets will be posted here

It is perfectly reasonable for students to collaborate on homework, but each student is expected to write up solutions individually. Students turning in nearly identical work may not receive full credit on assignments.

Additional Problems from Stewart: These problems are highly recommended for students to study course material more thoroughly and to see additional types problems that may be on exams. These problems can be found here: These problems will not be turned in for a grade.


There will be a quiz during recitation sections approximately every week. Missed quizzes cannot be made up, except as allowed by university policies on missed work (see below). Your lowest quiz grade will be dropped at the end of the semester.

Exam Schedule:

There will be 2 in-class exams during the semester, as well as a cumulative final exam. The dates and times are listed below.

Exam 1

Exam 2

Final Exam


Oct. 1 (Thurs.)

Nov. 5 (Thurs.)

Dec. 16 (Wed.)


BLOC 161

BLOC 161

BLOC 161


Your final course grade will be determined by your performance on homework, writing assignments, and exams. The contribution of these items toward your grade are as follows:







Exam 1


Exam 2


Final Exam


The following grade distribution will be used in determining final course grades:


Percentage of Total Points











Detailed Syllabus:

We will use the following schedule for lectures, covering material out of the given sections of Stewart. We will adhere to this schedule as closely as possible, though changes may be necessary as the semester progresses.

Week 1 (9/1, 9/3): Sections 11.1-11.4
Week 2 (9/8, 9/10): Sections 11.5-11.8
Week 3 (9/15, 9/17): Sections 12.1-12.3
Week 4 (9/22, 9/24): Sections 12.4-12.6
Week 5 (9/29, 10/1): Sections 12.7-12.8; Exam 1 on Thurs. 10/1
Week 6 (10/6, 10/8): Sections 12.8, 13.1-13.2
Week 7 (10/13, 10/15): Sections 13.3-13.5
Week 8 (10/20, 10/22): Sections 13.6-13.8
Week 9 (10/27, 10/29): Sections 13.9-13.11
Week 10 (11/3, 11/5): Sections 14.1-14.2; Exam 2 on Thurs. 11/5
Week 11 (11/10, 11/12): Sections 14.3-14.4
Week 12 (11/17, 11/19): Sections 14.5-14.6
Week 13 (11/24): Section 14.7
Week 14 (12/1, 12/3): Sections 14.8-14.9
Week 15 (12/8): Section 14.10
Wed., 12/16, 1:00 PM – 3:00 PM: Final Exam

Course Policies:

Missed Work: Making up missed work (including missed exams and homework) will be arranged according to University policies only. A university approved excuse must be provided to the instructor in writing (e-mail is sufficient) within 1 working day for exams and within 2 working days for other work.

Academic Dishonesty: "An Aggie does not lie, cheat, or steal or tolerate those who do." It is not permissible to hand in the work of others for a grade, including work on exams, quizzes, and homework. You are allowed to discuss homework with others, but your write-ups are expected to be done on your own and in your own words. Copying the work of others will be prosecuted to the full extent possible under University policies. Please see the Honor Council Rules and Procedures on the web at

Disability Assistance: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services in Cain Hall, Room B118, or call 845-1637. Students seeking speical considerations for an exam must contact this office several weeks in advance of the exam. For more information, visit

Copyright Information: All printed handouts and web materials are protected by US Copyright Laws. No multiple copies can be made without written permission of the instructor.

Contact Information: Course announcements may occasionally be made via e-mail (e.g. in case of a change to office hours or to correct potential errors in homework problem sets). Students should regularly check their TAMU e-mail accounts.

Page maintained by Matt Papanikolas, Dept. of Mathematics, Texas A&M University.