CRN (20488) MATH 2415- 001 Calculus III
MWF 10:00 - 11:15, Rm A – 21 Spring 2012
Instructor: Gary Ivy
Phone: 979-830-4434
Office: A-21
Office Hours:
E-mail: givy@blinn.edu
MW 1:20 – 4:00, TR 10:30 -11:50, 1:10 - 4:00
Course Description: Calculus III or multivariable calculus is the study of two and three dimensional vectors, cylindrical and spherical
coordinates, partial differentiation, directional derivatives and the gradient, multiple integration, line and surface integrals, Green's
Theorem, Stokes' Theorem, and the Divergence Theorem. Four class hours per week. Credit: Four semester hours.
Prerequisites: MATH 2314 or MATH 2414. Four class hours per week. Credit: Four semester hours.
Course Objectives:
The student should maintain at least a 70% average on all student learning comes.
Student Learning Outcomes as defined by the Master Course Syllabus
At the completion of the course, the student will:
 be able to add and subtract vectors, find dot and cross products of vectors, and use these operations in solving application
problems.
 be able to use vector products to aid in finding areas, parametric equations for lines, equations for planes, and distances from
points to lines.
 be able to find velocity and acceleration vectors, unit tangent vectors, unit normal vectors, and curvature for space curves.
 be able to find partial derivatives of functions, use the chain rule, find the derivative off at point P in the direction of vector
A, and find the direction in which f increases and decreases most rapidly.
 be able to find equations for tangent planes and lines normal to surfaces.
 be able to test given functions for saddle points, local maximum, and local minimum.
 be able to solve stated problems using partial derivatives, and use Lagrange multipliers subject to given constraints.
 be able to evaluate double integrals, find areas of regions bounded by curves, find volumes bounded by geometric surfaces
using triple integrals, and find masses and moments using Cartesian, cylindrical, and spherical coordinates.
 be able to evaluate integrals along given curves, find the work done by a force along a given path, evaluate flow integrals of a
given vector field, and find circulation and flux of a field around closed paths.
 be able to apply Green's theorem, Stokes' theorem, and the Divergence theorem.
Required Materials: Textbook: Calculus, Early Transcendental Functions, by Larson/Edwards, 5th edition, Cengage, Copyright
2011, ISBN: 978-0-538-73550-6. This course requires a WebAssign Student Access Code. The access code is bundled with new
textbooks purchased in the Blinn bookstore, otherwise access can be purchased online from WebAssign. It is also possible to buy
WebAssign+ebook online. When you register in WebAssign you will need the following class key: blinn 4479 3740 Additional
materials and supplies are homework notebook, lecture notes notebook, pencil, straight edge, graph paper, flash drive, and a graphing
calculator (see paragraph below).
Graphing Calculator: A graphing calculator is required for this class. I will be using either a TI-83 or TI-84 in class. Other
calculators may be used; however, the student is responsible for learning how to operate them. Symbolic calculators such as the TI-89
and TI-92 are not allowed.
Grading Policy:
Calculation of final grade: 3 Major Exams - 50% Final Exam - 20% Weekly Quizzes - 10%
Maple Computer Labs - 10% WebAssign Homework 10%
The final grade will be calculated as follows.
Final numerical grade =
0.5 x (average of major exam grades) + 0.2 x (final exam grade)
+ 0.1 x (average of weekly quizzes) + 0.1 x (average of computer labs)
+ 0.1 x (WebAssign Average)
Below are the letter grades that correspond to a given final numerical average.
[89.5-100] <-> "A" [79.5-89.5) <-> "B" [69.5-79.5) <-> "C"
[59.5-69.5) <-> "D"
[0-59.5) <-> "F"
Weekly Quiz: A quiz is a short exam that will be given each Friday during the last 15 minutes of class. The only exception to this
rule is that no quiz will be given during a week that has a major test. All quizzes will be taken from sections completed in class since
your most recent quiz or major test. In addition to the handout quiz I will also take up a homework assignment chosen at random from
one of the sections that the quiz covers to count as one of the quiz problems. Each quiz that is given will be graded on the basis of 100
points for a perfect score. At the end of the semester, I will calculate a single score called your quiz average. The quiz average will be
determined by dropping your lowest quiz grade and then finding the mean (average) of the remaining scores.
Homework consist of the problems listed on your homework assignment sheet (last two pages of this memo). Work out these
problems from the textbook with paper and pencil to turn in with each weekly quiz. One section’s homework will be selected
at random from the sections that the quiz covers to be turned in with and become a part of each Friday’s quiz grade.
WebAssign Work: WebAssign work consist of problems that I have selected for you to do on-line. WebAssign problems are similar
to homework problems but with helpful hints if you have trouble working the problem. In fact, if you miss a problem, you
can regenerate a similar problem, work it, and then get credit for the problem. Remember that your WebAssign average
counts as 10% of your semester grade. I recommend working your WebAssign problems before attempting the homework
problems from the text. Usually the experience you gain here makes the textbook homework easier to do.
Maple Computer Labs: There are two Maple computer lab locations. They are the Learning Center in room 13 in the Academic
Building and the open lab found in the Bullock (Business) Building. Ask the attendant which computers have Maple Software
installed on them before you sit down at a computer. Please see the bottom of the next page for times when the Learning Center and
the Bullock Lab are open. You will need a memory stick to use in storing your lab results. Each Maple assigned problem from the
textbook (See Tenatative Daily Schedule) should be worked out, saved and the results printed out with your name, problem
number, and section number typed at the beginning of each problem before turning them in. Each set of Maple Problems
from a chapter will be turned in one week after I have finished lecturing on that chapter in order of section number and
problem number. I will remind you of the date they are due after completing each chapter. Be sure to use complete sentences
in describing your results. If you have trouble with any of the non-mathematical aspects of using the computer, ask the lab assistant
for help. If you have trouble working in Maple and getting the results you need, save your work and bring your memory stick by my
office during office hours and I will help you with your problems. I will work demonstration problems during class that you should
take notes on to help you work the assigned Maple problems.
Make-up Policy: If you have an approved excuse for missing a quiz, you must take a replacement quiz within two weeks from the
day you return to class following this excused absence or receive a zero for this quiz. This make up quiz must be taken during my
office hours. No make up quiz will be given when a quiz is missed due to an unexcused absence. Any major test that you miss due to
an unexcused absent will be given a grade of zero. A comprehensive replacement exam" will be given on Monday, April 30, in
room A-16 from 4 to 6:00 PM which, if taken, will replace your lowest major exam grade provided it improves your average.
Accommodations for Students with Disabilities: Blinn College is dedicated to providing the least restrictive learning
environment for all students. Support services for students with documented disabilities are provided on an individual basis,
upon request. Requests for services should be made directly to the Office of Disability Services serving the campus of your
choice. For the Bryan campus, the Office of Disability Services (Administration Building) can be reached at (979)2097251. The Brenham, Sealy and Schulenburg campuses are served by the Office of Disability Services on the Brenham campus
(New Administration Building Room 104) and can be reached at (979)830-4157. Additional information can be found at
www.blinn.edu/disability.
Attendance Policy: The College District believes that class attendance is essential for student success; therefore, students are
required to promptly and regularly attend all their classes. Each class meeting builds the foundation for subsequent class meetings.
Without full participation and regular class attendance, students shall find themselves at a severe disadvantage for achieving success in
college. Class participation shall constitute at least ten percent of the final course grade. It is the responsibility of each faculty
member, in consultation with the division chair, to determine how participation is achieved in his or her class. Participation in the
Division of Mathematics is measured by quizzes and homework assignments, which count at least ten percent of the of the semester
grade. If a student has the equivalent of one week’s worth of unexcused absences during the semester, s/he will be sent a message to
her/his Blinn e-mail account by the College requiring the student to contact her/his instructor and schedule a conference immediately
to discuss her/his attendance issues. Should the student accumulate the equivalent of two weeks’ worth of unexcused absences, s/he
will be administratively withdrawn from class. For a MWF class students will receive the first notification via Blinn student email
after 3 days of unexcused absences and a 2nd notification via Blinn student email after 6 days of unexcused absences. If a student is
dropped from a class prior to the “Q” date (April 13), they will receive a “Q” in the class. When the student is administratively
dropped after the “Q” date, students will receive a “QF” as stated in current policy. Students will be able to access their Student email account by logging into BORIS. Arriving late, walking out during class, or leaving early is unacceptable, disruptive, and
disrespectful. Students are considered to be in attendance if they are present at roll call and stay until class is dismissed by the
instructor. If a student is tardy to class, it is the student’s responsibility to stay around after class is dismissed and politely request that
his/her absence be changed to a tardy.
The last day to drop with a Q grade (No Penalty) is Friday, April 13, 2012. If you drop after April 13, you will receive a QF.
A grade of QF is equivalent to a grade of F. Students are considered to be in attendance for class if they are present at roll call
at the being of the period and stay until the end of class. All tests and quizzes not taken will be given a grade of zero when the
absence is unexcused. Students are not assessed absences when representing Blinn College. If you will be representing Blinn
College or you will be absent due to a religious holy day and you will miss a test or quiz, I will make other arrangements with
you to take the test/quiz. Please see me before the test/quiz, if this situation applies to you. Class days missed due to inclement
weather will be made up as appropriate.
Civility Statement: Members of the Blinn College community, which includes faculty, staff and students, are expected to act
honestly and responsibly in all aspects of campus life. Blinn College holds all members accountable for their actions and words.
Therefore, all members should commit themselves to behave in a manner that recognizes personal respect and demonstrates concern
for the personal dignity, rights, and freedoms of every member of the College community, including respect for College property and
the physical and intellectual property of others.
If a student is asked to leave the classroom because of uncivil behavior, the student may not return to that class until he or she arranges
a conference with the instructor: it is the student's responsibility to arrange for this conference.
Electronic Device Policy:
All the functions of all personal electronic devices designed for communication and/or
entertainment (cell phones, pagers, beepers, iPods, and similar devices) must be turned off and kept out of sight in all Blinn College
classrooms and associated laboratories. Any noncompliance with this policy will be addressed in accordance with the Blinn College
civility policy (Administrative Policy). Additionally, any communication understood by the instructor to be in the nature of cheating
will have consequences in accordance with this Blinn College policy section regarding academic dishonesty [FLB (Local)]. Students
exempted from this policy section include, active members of firefighting organizations, emergency medical services organizations,
commissioned police officers, on-call employees of any political subdivision of the state of Texas, or agencies of the federal
government. Exempted students are expected to set the emergency-use devices on silent or vibrate mode only.
Classroom Policy: No food, drinks or tobacco products are allowed in the classroom. The policy on scholastic dishonesty
and classroom discipline will follow the policies adopted by Blinn College. For more information please see “Scholastic Integrity
Policy” from the 2011-2012 Blinn College Student Handbook.
Academic Support: For help on homework please come by to see me during my office hours
Learning Center Hours: Mon. thru Thurs. 8:00 AM to 9:00 PM Fri. 8:00 AM to 4:00 PM
Sun. 5 PM to 9 PM
Bullock Computer Open Lab: Mon. – Thurs. 7:45 AM to 9:00 PM Fri. 7:45 AM to 4:00 PM
Sun 5 PM to 9 PM
Tentative Daily Schedule,Table of Content,Assigned Homework and Assigned Maple
Computer Lab Problems
Note: When a homework problem listed below is found in Bold,Underlined Print or has
requires a “Computer Algebra System” (CAS), use Maple to work all or part of the problem
that is required. Print out your results to turn in one week after we complete the
chapter that the problem is found in. I will indicate in class the due date for such
problems. Feel free to ask me for help if you have any questions.
Date Sect Page
Topic Content
Assigned Problems
Jan.
18
20
11.1
771
Vectors in the Plane
1,7,9,15,17,21,26,30,33,40,45,48,54,56,66,70,75,81,89
11.2
780
23
25
11.3
11.4
789
798
1,8,12,18,21,25,32,35,39,42,45,49,56,60,66,72,73,84,85,96,
100
2,8,10,11,14,18,23,26,31,36,39,41,42,45,49,67,73,81
2,6,9,12,21,24,28,31,34,37,38,40,42,48
27
11.5
807
Space Coordinates and
Vectors in Space
Dot Product of Two Vectors
The Cross Product of Two
Vectors in Space
Lines and Planes in Space
30
Feb.
1
3
11.6
11.7
820
827
12.1
839
6
12.2
848
8
12.3
856
Surfaces in Space
Cylindrical and Spherical
Coordinates
Vector Valued Functions
3,7,15,20,24,25,27,31,33,35,39,44,50,56,63,69,74,79,91,10
0,106
1,2,4,6,19,21,23,25,27,29,32,37,47,53
1,4,8,10,13,16,20,21,23,25,27,32,35,40,41,44,48,50,56,60,6
8
2,8,10,13,17,19,22,27,31,49,53,59,63,73,76,89
Differentiation and Integration
of Vector-Valued Functions
Velocity and Acceleration
9,13,16,18,24,30,31,32,35,44,47,49,54,62,64,
67,70
12,17,24,27,29,31,37,38,47,49,50,51,52,53,54
10
12.4
865
13
15
17
12.5
877
13.1
894
20
22
24
27
13.2
13.3
13.4
13.5
904
914
923
931
29.
13.6
942
Mar
2
5
13.7
951
13.8
960
7
13.9
966
9
19
13.10
14.1
976
990
23
26
14.2
14.3
1000
1009
28
14.4
1018
30
14.5
1025
Apr.
2
4
14.6
1035
14.7
1043
9
11
13
15.1
15.2
15.3
1067
1079
1090
16
18
23
25
27
April
30
15.4
15.5
15.6
1099
1109
1122
15.7
15.8
1130
1137
21
May
2
May
4
Tangent Vectors and Normal
Vectors
Arc Length and Curvature
Exam I 11.1 to 12.4
Introduction to Functions of
Several Variables
Limits and Continuity
Partial Derivatives
Differentials
Chain Rules for Functions of
Several Variables
Directional Derivatives and
Gradients
Tangent Planes and Normal
Lines
Extrema of Functions of Two
Variables
Applications of Extrema
Functions of Two Variables
Lagrange Multipliers
Iterated Integrals and Area in
the Plane
Exam II 12.5 to 13.10
7,9,12,15,17,19,22,30,32,45,78,79,80
Double Integrals and Volume
Change of Variables: Polar
Coordinates
Center of Mass and Moments
of Inertia
Surface Area
1,2,6,7,10,14,15,19,22,26,31,33,41,59
1,2,6,8,9,12,14,17,19,22,25,29,31,35,45
Triple Integrates and
Applications
Triple Integrals in Cylinderical
and Spherical Coordinates
Vector Fields
Line Integrals
Conservative Vector Fields
and Independence of Path
Green’s Theorem
Parametric Surfaces
Surface Integrals
Exam III !4.1 to 15.5
Divergence Theorem
Stokes’s Theorem
1,2,6,9,11,13,16,23,27,30,35,40,43,55,
9,12,17,21,32,41,46,55,81
7,10,15,17,21,24,27,41,49
5,8,16,23,26,31,43,50,53,63,71
9,14,26,31,40,42,45,49,54,55,66,73,83,123
1,2,7,10,11,14,16,17,20,25,26,30,33,34,37,45
1,3,5,8,11,14,16,19,21,23,28,31,36,40,54,56
2,5,11,14,18,21,23,28,29,31,32,34,46,66,69
5,7,8,9,13,18,20,23,31,32,37,42,43,48,51,62
1,3,7,9,13,14,17,20,22,32,34,38,45,47
8,6,10,16
2,5,7,9,11,12,16,17,45,48
1,5,7,11,14,18,27,30,31,37,39,45,47,53,55,56,67,70
2,5,8,11,13,15,17,21,23,27,29,34,41
1,5,10,12,15,19,33
1,4,5,7,10,13,16,18,23,25,27,38,39
1,7,9,15,18,19,21,25,26,35,38,42,45,50,53,60,64,66,77
1,7,9,12,14,16,17,19,22,23,27,30,33,35,45,51,58,66
6,10,12,13,15,18,25,26,29,37
1,2,3,5,7,8,9,12,14,18,22,24,25
1,2,3,4,5,6,7,10,11,21,24,28,31,33,36,39,40
1,2,5,11,13,15,17,20,23,25,31
1,2,3,5,7,8,13,19
2,4,7,9,11,12,13,15
Make Up/ Replacement Test (11.1 – 15.7)
4:00 – 6:00 in Room A-16
Review for Final Exam
Fri.
Final Exam 11.1 to 15.8
10:30 to 12:30
I reserve the right to make changes in the assignment list above.
Enrolling Yourself in a Class Using a Class Key
If your instructor gives you a WebAssign class key, you can enroll yourself in the WebAssign class roster. If you do not already have a
WebAssign account, you can create one after verifying the class key.
Important: An access code is not the same as a class key. You need a class key to enroll. You might
need to pay student fees later with your access code.
To self-enroll for a class:
1.
2.
3.
4.
5.
a.
Go to the WebAssign login page (www.webassign.net), and click I have a Class Key.
Enter the class key your instructor gave you, ( blinn 4479 3740 ) and click Submit.
On the verification page, check the class information and determine whether or not the correct class and section is displayed.
o If the correct class and section is listed, click Yes, this is my class and go to step 4. .
o If the listed class or section is not correct, click No this is not my class. Try entering your class key again, in case you might have
mistyped a character. If the correct class is still not displayed, contact your instructor.
If you have an existing WebAssign account, select I already have a WebAssign account, type the Username, Institution, and
Password for your account, and click Continue. You are enrolled in the class and logged in to WebAssign using your existing account.
If you do not have an existing WebAssign account, you can create one now.
Select I need to create a WebAssign account, and then click Continue.
b.
Type the username that you would like to use for your WebAssign account in the Preferred Username field, and click Check
Availability to see if the username that you want is available. Usernames are not case-sensitive, so BobSmith, bobSmith, and bobsmith are
all the same username.
c.
After confirming the availability of your new username, type a password in both the Choose a password and Confirm
password fields. Ensure that your password meets the displayed requirements, which might be different than those shown above. Passwords
are case-sensitive, so IAmCa3sar is not the same as iamca3sar.
d.
Enter your First Name, Last Name, and Email Address, and optionally your Student ID Number.
e.
Click Create My Account.
WebAssign confirms that your account has been created. You can click Log in now to log in to the new user account and go to your
home page. Remember your username and password, because you will need them each time you log in.
Tip: If you forget your password, you can click the Reset Password link on the login page. If you forget
your username, your instructor can look up your username for you.
You should only enroll in the class once. After enrolling, you might also need to provide an access code to verify payment for the class.
Logging in to WebAssign
Notes:

If your instructor provided a class key, complete the steps in Enrolling Yourself in a Class Using a
Class Key before logging in to WebAssign.

Before logging in to WebAssign on a shared computer, such as a lab or library computer, exit all
open Web browsers. Then, open a new browser session to start using WebAssign.

Protect your account. To ensure that nobody else can access your account, be sure to log out of
WebAssign and exit the browser completely after you finish working in WebAssign.
To log in to WebAssign:
1.
In your Web browser, go to www.webassign.net.
If you log in through your school’s Web site, go to the Web address provided by your instructor.
2.
3.
In the Username field, enter your username.
In the Institution field, enter your institution code. (blinn) The institution code is a shortened form of your school’s official name. It is
displayed when you self-enroll in a class.
Tip: If you do not know your institution code, click What is my institution?
In the What’s My Institution Code window that opens, type your school name, and then click go. A list of
matching institutions and their institution codes is displayed. Note the code for your school, and then click
Close This Window.
4.
In the Password field, enter your password.
Tip: If you have forgotten your password but have previously specified an email address for your
WebAssign account, click Reset Password to request that the password be reset.
5.
Click Log In.
Important: The first time you log in to any WebAssign account, you should set your email address and change
your password. If you have enrolled in a new class, you might also need to provide an access code to verify
payment for the class.