Math 251
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Calculus III
Spring 2016
Section 504: MWF 9:10-10:00 Blocker 166
Section 508: MWF 11:30-12:20 Blocker 166
Joe Kahlig
Department of Mathematics: 845-3261
kahlig@math.tamu.edu
Blocker 245C
http://www.math.tamu.edu/∼joe.kahlig
Monday and Wednesday: 2pm-4pm
Tuesday and Tursday: 9:30am-11am
other times by appointment
Course Description and Prerequisites
Description: Vector algebra, Calculus of functions of several variables, partial derivatives, directional derivatives,
gradient, multiple integration, line and surface integrals, Stokes’ theorem.
Prerequisite: MATH 152 or equivalent.
Calculator Policy: Calculators will be allowed. However, you must justify all answers with work. Having notes or
examples stored on your calculator during exams/quizzes will be considered a case of Scholastic Dishonesty and will
be dealt with in that manner.
Course Objectives: We will cover much of chapters 11-14 of the text. Most of this course covers three-dimensional
analytic geometry and vectors, partial derivatives, multiple integrals, and vector calculus. Students should be able
to demonstrate an understanding of the material as covered during lectures and demonstrate ability to use these
concepts on exams, quizzes and homework. At the end of this course, students should be able to visualize surfaces in
3-dimensional space; apply partial differentiation to extremal problems and to variety of engineering applications; apply
techniques of multiple integration to a variety of physical and engineering applications; find potential of conservative
vector field and apply various types of Stokes’ theorem.
Textbook and Resources
Textbook: The textbook Stewart’s Calculus: Early vectors, ISBN: 9781428251427, will be provided in electronic
book format through the WebAssign system. Buying a paper copy is optional. The solution manual is also optional
but will give detailed solutions to the odd problems.
Help Sessions: The department’s help session schedule may be found at
http://www.math.tamu.edu/courses/helpsessions.html
Web Page: My class web page contains a variety of resources for this class.
Grading Policies
Homework: Homework for this course primarily consists of electronic assignments that will be worked and submitted
in the WebAssign system. The homework for a section will be due approximately 3 days after the lecture over that
material. For every assignment, you may request an extension of an additional two days. Any problem submitted
during the extension period will only receive half credit. Directions on how to use the webassign system can be found
on my web page. At least one homework assignment will be dropped when computing the average.
A list of suggested problems can be found on my web page. These problems will not be graded and you are responsible
for being able to work them.
Exams: There will be three in class exams and a final exam. Each exam will cover one chapter of the material. If
you miss the exam for an university approved reason, a makeup can be taken. Once an exam is returned, I will not
give a makeup for that exam. If you believe that you have a valid reasons for receiving a makeup after the exams have
been returned, then talk to me. Any question regarding grading/scoring must be done within one week of the return
of the exam or no change to the grade will be made.
Tentative Exam Schedule
Exam 1:
Chapter 11, Week 3(February 5)
Exam 2:
Chapter 12, Week 7(February 29)
Exam 3:
Chapter 13, Week 11(April 8)
Final Exam: Chapter 14
Section 504: Friday, May 6 from 8am- 10am
Section 509: Tuesday, May 10 from 10:30am-12:30
Grading Scale:
3 Exams @ 21% each
Homework
Final Exam
Total Points
63%
16%
21%
100%
A = 90-100
B = 80-89
C = 70-79
D = 60-69
F = 0-59
Attendance and Make-up Policies
• The University views class attendance as an individual student responsibility. It is essential that students attend class
and complete all assignments to succeed in the course. University student rules concerning excused and unexcused
absences as well as makeups can be found at http://student-rules.tamu.edu/rule07.
• If you are absence during an exam, then you must provide the appropriate documentation before you may take a
makeup. Notification before the absence is required when possible. Otherwise, you must notify me within 2 working
days of the missed exam to arrange a makeup. Providing a fake or falsified doctor’s note or other falsified documentation
is considered academic dishonesty, will be reported to the Aggie Honor Council, and will result in an F* in the course.
• All make-up exams must be scheduled, with me, for either one of the times provided by the Math Department or a
time that is agreeable to both of us. According to Student Rule 7, you are expected to attend the scheduled makeup
unless you have a University-approved excuse for missing the makeup time as well. If there are multiple makeup exam
times, you must attend the earliest makeup time for which you do not have a University-approved excuse. The list of
makeup times will be available at http://www.math.tamu.edu/courses/makeupexams.html.
• The last day to Q-Drop this class is April 19th.
Class Announcements, E-Mail Policy and Communications
Class announcements will be posted to my class web page and sent to your university e-mail account. If you send me
an e-mail, please include your name and course information(i.e.class and section ) as well as any additional information
that I might need to help respond to your e-mail.
Americans with Disabilities Act (ADA)
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, currently located in
the Disability Services building at the Student Services at White Creek complex on west campus or call 979-845-1637.
For additional information, visit http://disability.tamu.edu.
Academic Integrity
An Aggie Does Not Lie, Cheat, or Steal or Tolerate Those Who Do. Upon accepting admission to Texas A & M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning,
and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on
examinations, research papers, and other academic work. Ignorance of the rules does not exclude any member of the
TAMU community from the requirements or the processes of the Honor System. For additional information on the
Honor Council Rules and Procedures, consult http://aggiehonor.tamu.edu.
Course Topics (Tentative weekly schedule)
Week
1
2
3
4
5
6
7
8
9
10
11
12
13
14/15
Topics
Three-Dimensional Coordinate systems, Vectors and the
Dot Product, Cross Product
Equations of Lines and Planes, Quadratic Surfaces, Vector
Functions and Space Curves
Arc Length and Curvature, Exam 1, Functions of Several
Variables
Limits and Continuity, Partial Derivatives, Tangent Planes
and Differentials
The Chain Rule, Directional Derivatives,and Gradient
Vector,Maximum and Minimum Values
Maximum and Minimum Values, Lagrange Multipliers,
Double Integrals over Rectangles
Exam 2, Iterated Integrals, Double integrals over General
Regions
Polar Coordinates, Double Integrals in Polar Coordinates,
Applications of Double Integrals
Surface Area, Triple Integrals
Triple Integrals, Cylindrical and Spherical Coordinates,
Triple Integrals in Cylindrical and Spherical Coordinates
Exam 3, Vector Fields, Line Integrals
Fundamental Theorem for Line Integrals, Green’s Theorem, Curl and Divergence
Curl and Divergence, Parametric Surfaces and their Areas,
Surface Integrals
Stokes’ Theorem, The Divergence Theorem
Sections
11.1, 11.2, 11.3
11.4, 11.5, 11.6
11.7, 12.1
12.2, 12.3, 12.4
12.5, 12.6, 12.7
12.7, 12.8, 13.1
13.2 13.3
13.4, 13.5, 13.6
13.7, 13.8
13.8, 13.9, 13.10
14.1, 14.2
14.3, 14.4, 14.5
14.5, 14.6, 14.7
14.8, 14.9