MATH 283 Calculus III Online
Great Basin College Fall Semester 2015
Math 283 Calculus III 4 credits
Course key code: gbcnv 2625 1628
CATALOG DESCRIPTION
This course is a continuation of Math 182. Topics include infinite sequences and series, vectors,
differentiation and integration of vector-valued functions, the calculus of functions of several variables,
multiple integrals and applications, line and surface integrals, Green’s Theorem, Stokes’ Theorem, and
the Divergence Theorem. It is recommended that students have completed prerequisites within two
years of enrolling in this course. Prerequisite: Must have completed Math 182.
COURSE DESCRIPTION
We will cover the chapters 12 – 16 in the 7th ed. Calculus text by Swokowski. The course is online with
recorded lectures available in WebCampus. I will communicate with you in WebCampus, primarily
through announcements or individual emails, so please check WebCampus regularly.
COURSE OBJECTIVE
The objective of this course is to expand students’ understanding of calculus to include work with
multivariable functions.
LEARNING OBJECTIVES
Find the equation of a sphere and write the
equation in standard form
Find the sum/difference of vectors algebraically
and geometrically
Find the magnitude of a given vector
Find a unit vector in the same direction as a given
vector
Find the horizontal/vertical components of
force/velocity
Calculate the dot product of two vectors
Find the angle between two vectors
Determine when two vectors are parallel,
perpendicular or neither
Find the direction angles and the direction
cosines of a give vector
Find the scalar and vector projections of a given
vector onto another vector
Calculate the cross-product and understand the
geometric interpretation of the cross-product
Find the volume of a parallelepiped
Use the scalar triple product to determine if
vectors are coplanar
Find a vector equation, parametric equations, and
symmetric equations for a line
Chapter 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
Ch 12 Exam
MATH 283 Calculus III Online
Find the equation of a plane when given a point
and a line or three points
Sketch the graph of cylinders and quadric
surfaces
Sketch the curve of vector-valued function
Determine the limit of vector functions
Find the parametric equation of the tangent line
Find the vector equation and parametric equation
of a line segment
Find derivatives and integrals of vector functions
Find the unit tangent vector
Find the arc length and curvature of a space curve
Find unit and binormal vectors of a space curve
Find the velocity, acceleration, and speed of a
particle given the position function.
Find the position vector given the acceleration
and initial velocity
Parametrize a curve with respect to arc length
Find and sketch the domain of a function of
several variables
Sketch the graph of a function of several variables
Find the limits of functions with two or more
variables
Determine the continuity of a multivariable
function
Calculate partial derivatives (including use of
implicit differentiation)
Find the equation of a tangent plane to a surface
Find a linear approximation to a multivariable
function
Find the differential of a multivariable function
Use the chain rule to find derivatives and partial
derivatives of multivariable functions
Find the directional derivative of a function
Find the gradient of a function
Find the maximum rate of change of a function at
a given point
Find local/extreme maximums/minimums and
saddle points
Use Lagrange multipliers to maximize/minimize a
function subject to given constraints
Calculate double integrals over rectangles and
general regions
Ch 12 Exam
Ch 12 Exam
Ch13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 13 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 14 Exam
Ch 15 Exam
MATH 283 Calculus III Online
Find the average value of a function using double Ch 15 Exam
integrals
Find the volume of a solid using double integrals
Ch 15 Exam
Change the order of integration in double
Ch 15 Exam
integrals
Evaluate double integrals in polar coordinates
Ch 15 Exam
Use double/triple integrals to find the center of
Ch 15 Exam
mass, moments of inertia, radius of gyration, and
probability
Use double integrals in calculating the area of a
Ch 15 Exam
surface
Evaluate triple integrals using rectangular,
Ch 15 Exam
cylindrical, or spherical coordinates
Find Jacobian transformations
Ch 15 Exam
Use transformations to evaluate integrals
Ch 15 Exam
Describe the image of a set under a given
Ch 15 Exam
transformation
Sketch a vector field
Ch 16 Exam
Find the gradient vector field of a function
Ch 16 Exam
Evaluate the line integral of a function along a
Ch 16 Exam
given curve/vector field
Determine when a vector field is conservative
Ch 16 Exam
Evaluate line integrals using Green’s Theorem
Ch 16 Exam
Find the curl and divergence of a vector field
Ch 16 Exam
Find the parametric representation of a surface
Ch 16 Exam
Find the area of a surface
Ch 16 Exam
Find the equation of a tangent plane to a surface
Ch 16 Exam
at a specific point
Evaluate surface integrals
Ch 16 Exam
Use Stokes’ Theorem to evaluate surface integrals Ch 16 Exam
Use the Divergence Theorem to calculate flux
Ch 16 Exam
Mastery of topics will vary from student to student, but for most students, doing the homework,
watching the lectures, and reading the textbook are critical for mastery. Do not expect to gain
mastery through telepathy or osmosis. If you do nothing, expect nothing. If you do the work, expect
some gain in mastery.
INSTRUCTOR INFORMATION
Instructor:
Lynne Owens
Address:
Great Basin College
Office:
MCML 136
1500 College Pkwy
Phone:
(775) 753-2152
Elko, NV 89801
Fax:
(775) 738-8771
E-mail:
lynne.owens@gbcnv.edu (preferred method of contact WebCampus email)
Office hours:
M, W 11am – 12:30pm, 3pm – 4pm or by appointment. I will respond to emails/calls
M – F, 8am – 5pm. I am unavailable evenings, weekends, and holidays.
MATH 283 Calculus III Online
REQUIRED MATERIALS
To get students the cheapest possible price, the e-book and homework management system (Enhanced
Web Assign) have been bundled together. ISBN: 978-1285858258
You can get the access code from the website www.webassign.net or the GBC Bookstore. If you go to
the website, just click on the student tab at the top, and enter our class key: gbcnv 2625 1628 in the
three boxes. You should see some verification information—Math 283 Section 1001, Instructor Lynne
Owens, and Great Basin College. If so, then click on “Yes, this is my class.” You will then have the option
to create an account if you do not already have one. If you have used WebAssign for Calculus I or II or
for some other class, you probably already have an account. If not, you will be able to purchase the
code.
Scientific calculator
Internet access
access to a scanner (for sending exam papers to me)
GRADING
Grades will be based on a syllabus quiz in WebCampus, 36 assignments), and 5 exams (100 points each).
Note: Your fifth (and final) exam is not cumulative; it is just the exam for chapter 16. Your homework is
weighted 18%, your exams 80%, and the syllabus quiz 2%.
90 –100%
A
80 – 89%
B
70 – 79%
C
60 – 69%
D
Below 60
F
Please consult the Great Basin College catalogue for information on "I" and "W" grades.
Homework and Exams
You will have weekly computer assignments due. You will find your assignments in WebAssign,
not WebCampus.
 Your homework assignments are due on Friday night by 11:55pm. On the occasion
of a Friday holiday, your homework is due on the Saturday following the holiday.

Your exams are due on the Tuesdays of the week after we complete a chapter.

You have four hours to complete each exam—not because the exams will
necessarily take that long, but I wanted to ensure that you have plenty of time to
complete your work.

Like your homework, your exams are also taken online. They must be proctored. If
you do not live in the Great Basin College service area or cannot get to one of our
campuses to take the exam, you must provide me with the name and email address
of a proctor (not a relative or spouse).

You will need to turn in your exam work to me. Please scan your work in jpg format
and drop it in the test dropbox in WebCampus. If your scanner does not provide the
option of saving the work in jpg format, you will have to do so manually by using
MATH 283 Calculus III Online
one of these sites: http://sourceforge.net/projects/pdf-to-jpg/ or
http://www.zamzar.com/url/ which will require you to save the scanned work and
then run it through either of the above programs.

Your exam work needs to be legible, organized, with all of the problems labeled and
in jpg format for me to grade. If any of these elements are missing, I will not accept
your work.

Late homework and exams are not accepted.
Grading errors/problems
If you believe I have made a grading error has occurred in your homework/exams, please
contact me within two days of the due date of the assignment/exam where the error occurred.
Withdrawing from class
If you decide that you need to drop or withdraw from this class, make sure you fill out the
required paperwork by Monday, November 2, 2015. If you fail to turn in your paperwork on or
before that date, you will receive the grade you are earning in the class. This bears repeating.
You are responsible for withdrawing yourself from this class. I will not assign grades of W; if you
simply stop attending class without turning in your drop/withdraw form to Admissions and
Records, you will get the grade you have earned at the end of the semester.
CLASS MEETING/ATTENDANCE
As this is an independent study online course, we will not be meeting in a live classroom setting.
Instead, lectures will be posted in WebCampus to be viewed at your leisure by specific due dates.
Attendance in the context of the online environment means that you are viewing the lectures and
completing the work in WebAssign.
WEBASSIGN VS. WEBCAMPUS
We use two management systems in this course, WebAssign and WebCampus. WebAssign is where all
of your homework, tests, and grades reside. WebCampus is where your lectures reside. WebCampus is
also where I will contact you. Go to https://gbcnv.instructure.com/login/canvas to access
WebCampus directly if the college website is down.
CAMPUS SECURITY
GBC is committed to the safety of our students and has a duty to promote awareness and prevention
programs for violence on campus under the Jeanne Clery Act as well as the Campus SaVE (Sexual
Violence Elimination Act) and VAWA (Violence Against Women Act), which are amendments to
Clery. Acts of violence include, but are not limited to, sexual assault, domestic violence, dating violence,
and stalking. Acts of violence can occur on the physical campus or centers of GBC in addition to field
placement sites, clinical practice settings, and other places where college or class activities occur. As
well, the online environment at GBC is considered a GBC site. If you experience any incidence where
your safety has been threatened or violated, or if you feel threatened or harassed, immediately report
this to me, any center director, faculty, or staff member, or directly to the Director of Environmental
Health, Safety & Security (775.753.2115) or the Vice President for Student Services (775.753.2282).
MATH 283 Calculus III Online
ACCESSIBILITY STATEMENT
Great Basin College is committed to providing equal educational opportunities to qualified students with
disabilities in accordance with state and federal laws and regulations, including the Americans with
Disabilities Act of 1990 and Section 504 of the Rehabilitation Act of 1973. A qualified student must
furnish current verification of disability.
This course is designed to be compatible with most universal screen readers. If you are a student
needing video and/or audio captioning, GBC's Disabilities Office will provide captioning for you in this
course.
The Students with Disabilities Office, located in Berg Hall, will assist qualified students with disabilities in
securing the appropriate and reasonable accommodations, auxiliary aids, and services. For more
information or further assistance, please call 775-753-2271..
ACADEMIC DISHONESTY
The University and Community College System of Nevada expressly forbids all forms of academic
dishonesty, including (but not limited to) all forms of cheating, copying, and plagiarism. Plagiarism is
presenting someone else’s word, ideas or data as one’s own. When a student submits work that
includes the words, ideas, or data of others, the source of that information must be acknowledged
through complete, accurate, and specific references; and if verbatim statements are included, through
quotation marks as well. In academically honest writing or speaking, the students will acknowledge the
source whenever:
 Another person’s actual words are quoted
 Another person’s idea, opinion or theory is used, even if it is completely paraphrased in the
student’s own words
 Facts, statistics, or other illustrative materials are borrowed, unless the information is common
knowledge.
Students who are discovered cheating will be subject to discipline as outlined in the Great Basin College
catalog.
OFFICE ETIQUETTE
 Please email me if you need assistance. It would be great if you email me problems you wish to
discuss prior to our meeting, I can then post the solutions online so that all students may
benefit.
 If you need to cancel an appointment, contact me; do not leave me waiting in limbo.
COMPUTER ASSIGNMENT/EXAM DUE DATES
Sections/Exam
12.1 – 12.3
Syllabus Quiz
12.4 – 12.6
Chapter 12 Exam
13.1 – 13.3
13.4 – 14.2
Chapter 13 Exam
14.3 – 14.5
14.6 – 14.8
Due Date
Friday, Sept. 4
Tuesday, Sept. 8
Fri. Sept. 11
Tuesday, Sept. 15
Fri. Sept. 18
Fri. Sept. 25
Tues. Sept. 29
Fri. October 2
Fri. Oct. 9
MATH 283 Calculus III Online
Chapter 14 Exam
Tues. Oct. 13
15.1 – 15.3
Fri. Oct. 16
15.4 – 15.6
Fri. Oct. 23
15.7 – 15.9
Sat. Oct. 31
15.10 – 16.1
Fri. November 6
Chapter 15 Exam
Tues. Nov. 10
16.2 – 16.3
Fri. Nov. 13
16.4 – 16.5
Fri. Nov. 20
16.6 – 16.7
Sat. Nov. 28
16.8
Fri. Dec 4
16.9
Fri. Dec. 11
Chapter 16 Exam
Tues. Dec.15
All assignments/exams are due by 11:55pm of the due date. Please note that every effort will be made
to keep to the syllabus; however changes may occur due to unforeseen circumstances. I will notify you
of changes through WebCampus email or announcements, so please check WebCampus regularly.
TIPS FOR SUCCESS
The burden of learning is on you; therefore, you must be your own advocate. While calculus can be a
difficult subject to master, there are steps you can take that will increase the probability of your success.
 If you don’t understand a concept, get some help and get it fast. Do not sit like a bump on a log
suffering in silence. Go to the Academic Success Center for free tutoring. Make an
appointment with me. Join a study group.
 Be cognizant of class policies and due dates. For example, what are the policies regarding late
work or missing class?
 Do your homework. Math is not a subject that can be skimmed. You learn by doing.
 Do some math every day. The research indicates that the best way to improve retention is to do
some homework problems as soon after the lecture as possible.
 Do not procrastinate with the computer homework. Technology is our friend and enemy. Allow
yourself enough time to complete the homework in case you run into technological difficulties.
RESOURCES
Academic Success Center (ASC) EIT Building Room 114, 753-2149
free tutoring, access to computers for homework
M – Th
9am – 8pm
F
9am – 4pm
Sat & Sun
Closed
The Testing Center at the ASC has the same hours. The ASC offers online tutoring as well. Send an email
to tutor@gbcnv.edu for assistance.
Smarthinking Online Tutoring
Great Basin College is using the Smarthinking service to provide free tutoring to our students. To access
Smarthinking, go to our class in WebCampus. The Smarthinking tab will be on the left. Plan ahead! For
this level of math, Smarthinking requires that you submit your problems to them. They make take 24 –
48 hours to respond so do not wait until the last minute.
MATH 283 Calculus III Online
TROUBLESHOOTING
If you find you are having technical difficulties with WebCampus or WebAssign, get help as soon as
possible.
Product
Support
WebCampus
helpdesk@gbcnv.edu or 775-753-2167
WebAssign
https://webassign.com/support/studentsupport/
1-800-955-8275, option 1