MATH& 153A Calculus III, Item #6147
Winter, 2013 Syllabus
Time: MWF 8:00 – 9:20am
Location: 8-12
Instructor: Meredith LaFlesh (please call me Meredith.) Office: F1-55 Phone: 460-4337
Email: mlaflesh@tacomacc.edu Best way to reach me Office Hours: Daily 11:00 to noon and by appointment
Course Overview: Welcome to Calculus III! This quarter, you will finish your study of single-variable calculus and get
ready for multiple-variable calculus. You will learn some very cool applications of differentiation and integration. Also,
you will start getting acquainted with vectors, another way of describing force.
Instructional Methods Used: In class, we will use a combination of lecture and small group work. In the computer
lab, we will use Maple®. Projects will require college-level writing and the use of Maple® and some web research.
Course Description: Topics of calculus are presented geometrically, numerically, and symbolically. MATH& 153
topics include sequences, infinite series, Taylor series, Taylor polynomials, vectors, and functions of several variables.
A graphing calculator is required.
Program Learning Outcomes: Students will demonstrate increasing levels of mastery of the Program Learning
Outcomes throughout the math curriculum. Upon successful completion of the Quantitative Skills requirement for the
Associates Degree, students will:
1. Interpret, analyze, and create graphs and charts that communicate quantitative or relational information.
2. Determine, create, and use appropriate and reasonable mathematical constructs to model, understand, and explain
phenomena encountered in the world.
3. Determine and carry out an appropriate algorithm to solve problems that are amenable to mathematical solutions.
4. Communicate mathematical information formally, using appropriate math notation and terminology, and informally by
using everyday language to express ideas.
5. Use technology to analyze and solve mathematical problems and to effectively communicate solutions to problems,
particularly those that cannot be solved efficiently by other means.
Learning Objectives: The numbers following the objectives refer to the Program Learning Outcomes above. Upon
successful completion of this course, the student should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
Determine the convergence/divergence of both sequences and series. (3)
Use Taylor series as a means to define functions. (3, 4)
Use substitution, differentiation, and integration to find a Taylor series. (3, 4)
Approximate functions with Taylor polynomials and find error bounds. (3, 4)
Use contour maps, cross-sections, and computer-generated graphs of surfaces to describe and analyze functions
of two variables. (1, 2, 4, 5)
Demonstrate an understanding of vectors and vector operations, including the scalar product, dot product, vector
product, and the projection of one vector onto another. (3, 4)
Use vector valued functions to describe the motion of an object and solve related application problems. (2, 3, 4)
Write clear and complete solutions to mathematical problems, including correct notation and written explanations
when appropriate. (4)
Use a graphing calculator and/or computer software as appropriate. (5)
Required Text: Calculus: Single and Multivariable, 5th Edition, by Hughes-Hallett et al.
Graph paper or adhesive grids available at the TCC bookstore.
Calculator: A graphing calculator is required for this course. The TI-83+ or TI-84 is strongly recommended. It is the
calculator that will be used during lectures and the only calculator that will be supported in this class. It also has
financial applications which other calculators do not have. If you choose to use another calculator, I will not be able to
help you learn it. You are responsible for knowing how to operate it. Calculators on cell phones and PDA’s and
calculators that do symbolic manipulation such as the TI-89 and TI-93 will not be allowed on exams.
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Class Rules
Each person in this class is entitled to respect. It is important to me that you show respect for your fellow students and
for the learning process. These rules are designed to ensure that all students get the respect they deserve and the
learning they have paid for.
1. When one person is talking, please listen quietly.
2. Please silence your cell phone before class begins, as the noises it makes distracts people who are trying to learn.
3. Please do not engage in disruptive behaviors (excessive talking, arriving late, leaving during class, etc.).
The first time, you will receive a verbal warning.
The second time, you will be required to leave class.
You may not return to class until you have made an appointment with me, and we have come to an agreement
as to how to better support learning in the class. Assignments missed because of behavior cannot be made up.
4. If you intend to bring people (especially children) who are not enrolled to class, you must get permission from the
instructor first, and the visitors must follow all class rules.
5. You are welcome to bring food and beverages to classes held in most buildings on campus as long as you do not
distract other students and you clean up after yourself.
6. If you want to succeed in this class, you need to attend regularly. If you cannot be in class on a given day, let me
know ahead of time, otherwise, there will be no way for you to make up credit for missed in-class assignments. But,
notifying me does not guarantee you can make up the missed assignment.
7. Come to class on time. Arriving late to class distracts your fellow students and disrespects the learning process.
8. Late homework will be accepted before the beginning of the class following the day it is due. Homework turned
after that will NOT be accepted. If you are late (even one second), your work will be late.
9. Using your TCC e-mail account is required for this course. These accounts are provided for each student. You
can check your TCC e-mail from any computer on campus as well as from any off-campus computer that has access
to the Internet. You should check your e-mail at least once a day because I will use your TCC e-mail account to send
you class assignments and information. If class is canceled due to weather, or if I will not be able to attend class due
to illness, I will e-mail you no later than 7:00am. I will also occasionally send information about scholarships and other
things I think you could use, but I will never send spam.
10. Academic dishonesty is unacceptable. As stated in the TCC catalog: “students are expected to be honest and
forthright in their academic endeavors. Cheating, plagiarism, fabrication, or other forms of academic dishonesty
corrupt the learning process and threaten the learning environment for all students.” Students who engage in
behaviors that may be interpreted as academic dishonesty will receive a zero score on the assignment in question. A
second offense will result in an “E” course grade. Common "cheating" behaviors include
 communicating with another person while an exam is going on in the room,
 using notes, cell phones, or other resource material not specifically allowed during an exam,
 copying or allowing another student to copy answers during an exam,
 talking to someone outside of your group during a Group Solve,
 presenting another person’s work as your own, and
 giving other students the opportunity to do any of the above.
It is your responsibility to be honest and to appear honest.
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General Information
Students with Special Needs: All students are responsible for all requirements of the class, but the way they meet
these requirements may vary. If you need specific academic auxiliary aids or services due to a disability, please
contact the Access Services Office in Building 7 (253) 566-5328. They will require you to present formal, written
documentation of your disability from an appropriate professional. When this step has been completed, arrangements
will be made for you to receive reasonable auxiliary aids or services. The disability accommodation documentation
prepared by Access Services must be given to me a minimum of one week before the accommodation is needed so
that appropriate arrangements may be made.
Withdrawing From The Class: If you decide for any reason to stop attending class, you should withdraw. It is your
responsibility to withdraw yourself. No one else can do it for you. This may allow another student who wants to take
the class to enroll. If you do not withdraw yourself, you will receive a “V” or an “E” grade for the class.
For Help With Homework
The Al-Kwarizmi Math Advising and Resource Center: The MARC is located in 19-22.
 Math instructors and tutors are available on a drop-in basis to help with math questions. See the MARC
website http://www.tacomacc.edu/resourcesandservices/mathadvisingandresourcecentermarc/ or the
tutoring bookmark for hours.
 For best results, bring specific questions or problems you are working on to ask about. Even if you do not
have any problems, the Math Center is a pleasant place to study. You are always welcome there!
The Writing and Tutoring Center: The Tutoring Center is located in building 7, room 221.
 Student tutors are available by appointment for one-on-one tutoring. The hours during which tutoring is
available in specific subjects may vary from quarter to quarter.
 Call the Tutoring Center at (253) 566-6032 to find out what their current schedule is.
The Open Door Policy: I want you to get the help you need when you need it. If my door is open, please come
in, sit down, and tell me what I can do for you. I am, of course, always available during my scheduled office hours.
Good Websites
For information about the class, homework assignments, project assignments, and lecture notes:
http://www.tacomacc.edu/home/mlaflesh/
For Calculator Help:
http://education.ti.com/us/support/main.html
For More Examples:
http://www.Khanacademy.org
http://wolfromalpha.com (best for definitions)
Getting Your Grade: You can check your grade on-line any time after the first week by following these directions.
Log in to the MyTCC Portal at http://my.tacomacc.net
Select the “My Classes” tab.
Next to the listing for this class, you should see an OIS icon that looks like this:
When you click on the icon, a new window will open with a “Grade Book” link that will show you your grades for this
class.
If you find an error, you have two weeks from the day the assignment was recorded to bring it to my attention.
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Chain of Command: If you have questions or complaints about your grade or any other aspect of the class, please
follow the steps below:
1. See me and present your case in a professional, unemotional manner. I am always willing to listen to a good
argument. If I am wrong, I will admit it. If you are not satisfied, go to step 2.
2. See the Dean of the Science Division, Mike Flodin, in Building 15.
Grading System: Letter grades will be assigned based on the following:
Percentage Letter Grade Percentage Letter
Grade
87 – 89
B+
93 – 100
A
83 – 86
B
90 – 92
A80 – 82
B-
Percentage Letter Grade Percentage Letter Grade
77 – 79
73 – 76
70 – 72
C+
C
C-
67 – 69
60 – 66
0 – 59
D+
D
E
Satisfactory/Unsatisfactory Grade: A grade of "Satisfactory" will only be given for grades of 63% or above. If you
are planning on taking another math class for which this course is a prerequisite, you must receive a C- or above (that
is, 70% or above) to go on. A "Satisfactory" will not be sufficient to get you into the next class.
A grade of Incomplete, I, will be given only in emergency situations, at the instructor’s discretion, and only if at least
75% of the work has been completed with a passing grade.
A grade of WI is given at the instructor’s discretion when a student has completed all assigned work and is forced, due
to circumstances beyond her control, to withdraw from class after the 50th day of the quarter.
A grade of V is given to a student who has attended class at least once and stops attending before doing enough work
for the instructor to evaluate the student’s performance.
A grade of Z is given to a student who has never attended class.
Grades: Your final grade will be determined by your performance on the following graded events:
2 Exams
150 points each
3 Group Solves
50 points each
Projects
200 points total
Class Participation
5-10 points each
Final Exam
300 points
Homework Sets
25 points each
All work that is not word-processed must be in pencil!
Exams: Each exam is comprehensive and may cover material from previous chapters; however, most of the material
tested will be from the most recently covered topics. There are no make-up exams. If you must miss an exam due to
an emergency, you must leave a message on my voice mail or e-mail me before the time of the exam, explaining the
reason for missing the exam. If I agree that the situation is an emergency that could not be avoided, I will give you
95% of your final exam percentage for the exam you missed. A second missed exam will result in a 0 grade.
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Group Solves: The ability to work effectively in a group is essential in many industries. Group Solves are designed to
challenge you and motivate you to work with others. You will be grouped with a few other students in the class and
given a set of problems to work out within a designated time frame. Each student will submit solutions, and one set of
solutions from each group will be graded. Group Solves are scheduled shortly before exams and are designed to
prepare you for the exam. Group Solves may not be made up. Attendance is mandatory. If you miss
class the day of a Group Solve, you will receive no credit for the Group Solve.
Final Exam: The final exam is comprehensive and will assess your mastery of course objectives.
Substituting the Final Exam grade for the course grade: If your final exam score is higher than your computed
course grade, I will assign your final exam score as your course grade if you have:
1. completed all Group Solves, projects, and exams,
2. missed no more than one class participation event, and
3. earned at least 80% of the possible homework points.
This is a great way to recover from low grades at the beginning of the quarter!
Study Groups: Students who score in the top 10% of the class on the first exam may be invited to be Study Group
Leaders. Study Group Leaders will hold a 1-hour study session at a regularly scheduled time once a week on campus.
Students wishing to participate in a study group will choose a Study Group Leader. The groups will meet together
regularly to study, work homework problems, etc.
Skipping the Final Exam: Each Study Group Leader who (1) meets the requirements for substituting the final exam
grade for the course grade, (2) maintains a 90% course average, and (3) conducts a 1-hour study group session and
turns in an attendance form each week will not have to take the final exam.
Projects: The projects will help you understand calculus and solve problems by using the mathematics software
Maple®. These projects must be done with one or two other students from this class. You may not do them by
yourself.
Class Participation: Pop quizzes and small group activities will earn you class participation points. Pop quizzes are
essentially free points for students who arrive ready to work on time, stay until the end of class, and attend regularly.
Pop quizzes may be given at any time during the class period.
Homework: Please see pages 6 and 7 for complete requirements.
Extra Credit
1. You may earn extra credit by volunteering to do homework problems on the board if you have already done the
problems and have your solutions with you.
2. You earn one point for every hour you study with a designated Study Group Leader (maximum of 2 point per week).
You must sign in with the Study Group Leader each time you attend. A Study Group Leader may earn extra credit only
for attending other Study Group Leaders’ groups.
Reading: If you have not read your textbook yet, now is the time to start. It is written in a nice, clear style, and it will
help you understand the concepts covered in class. You are responsible for reading each section assigned in class,
especially if some of the material was not covered in class.
Reading math books is different from reading other texts. You should always have paper and a pencil ready to take
notes, write down questions and vocabulary, and work the examples in the text. There is more new vocabulary in this
class than you usually see in a math course. You should take notes on the vocabulary and be sure to know and
understand all definitions.
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Homework Requirements
Mathematics is not a spectator sport. You can’t become a great baseball player by watching Ichiro. You need to
practice the moves yourself. In the same way, you need to practice math by doing the problems yourself. You should
expect to spend two to three hours every night on homework and studying for this class.
Practice Problems are not collected. They are a way for you to build skill and understanding. The assignments are
listed in the calendar at the end of the syllabus. Virtually all these problems are odd, so you can check yourself as you
are studying.
Homework Sets will be assigned periodically and collected. They will be graded on organization, use of the language
of mathematics, the clarity of reasoning and work supporting your results, and accuracy. These sets will include
problems at a medium to high level of difficulty, so you need to do the Practice Problems to prepare for them before
you start.
Late homework: Homework that is late (even one second late) will receive half credit if it is turned in by the
start of the next class. Homework that is turned in after the start of the next class after it is due will not be accepted. If
you cannot be in class on the day the homework is due, you may turn the assignment in early or send it with a friend or
classmate on the day the assignment is due.
I expect a professional job.
Homework must be done in pencil.
Homework must be neat. (The instructor’s aesthetics are the criteria for neatness.)
To get credit, your homework must be stapled, written neatly and organized, in sequence.
Problems requiring explanations must include complete explanations in complete sentences. “Yes” and
“No” are not complete explanations.
For application problems, a narration of all steps needed to complete the problem as well as all
supporting work must be included.
When you have used a calculator to solve the problem, a brief description of the function(s) needed to
complete the problem, not calculator key strokes, as well as a clear statement of the solution must be included.
Abstract, symbolic problems (problems that do not involve words) must have all work shown vertically in
columns with at least one inch of blank space between the columns.
54
Fractions and rational expressions must be written vertically, like this:
or
31
9  x2
.
x3
All problems that involve graphs must be on graph paper. That is, the problem, the work needed to graph
the equations, and the graph must be on the same page. The words “see graph” are not acceptable. See the
following page for Graphing Guidelines.
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Graphing Guidelines
The following requirements are those of the TCC Mathematics Department and your instructor.
AXES:
1. Axes and any straight lines are drawn with a straight edge.
2. If either axis requires a scale other than one square = one unit, both axes must have the scale clearly
indicated. (See Graph B.)
3. Axes are labeled with appropriate letters and with the meaning and units of the axis. (See Graph B.)
ACCURACY: 1. Graph paper is used.
2. If the graph of a function continues infinitely, the ends of what is drawn must have arrows
(see Graph A). If a graph terminates, the ends will have closed circles or dots (see Graph B).
3. The vertex of a parabola is rounded, not pointed. (See Graph C).
4. Asymptotes are drawn with a dashed line. Graphs approaching asymptotes appear to get closer and
closer, not touching the asymptote and not pulling away from the asymptote. (See Graph D.)
CLARITY: 1. The coordinates of important points: intercepts, maximum or minimum points, vertices, and points of
intersection, are clearly labeled on the axes or the point itself is labeled with an ordered pair.
2. If multiple equations are graphed on a single set of axes, each graph is labeled with its equation.
3. Separate problems should be graphed on separate axes.
4. Each graph is neat, big, and dark enough to be easily read and understood.
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Tentative Course Schedule
Subject to change as the instructor sees fit to best meet the needs of the students.
Date
Topic
Introduction
Sequences
Sequences
Jan. 4
Geometric Series
Jan. 7
Geometric Series
Jan. 9
Convergence of Series
Jan. 11
Tests for Convergence
Tests for Convergence
Jan. 14
Power Series and Interval of Convergence
Jan. 16
Power Series and Interval of Convergence
Jan. 18
Taylor Polynomials
Jan. 21
Martin Luther King, Jr. Day – No Class
Jan. 23
Taylor Series
Jan. 25
Review
Jan. 28
Group Solve 1
Jan. 30
Exam 1
Feb. 1
Finding and Using Taylor Series
Feb. 4
The Error in Taylor Polynomial Approximations
Feb. 6
Functions of Two Variables
Feb. 8
Educational Planning Day – No Class
Feb. 11
Graphs of Functions of Two Variables
Feb. 13 Contour Diagrams
Feb. 15 Linear Functions
Feb. 18 President’s Day – No Class
Feb. 20 Group Solve 2
Feb. 22 Exam 2
Feb. 25 Displacement Vectors
Feb. 27 Vectors in General
March 1 The Dot Product
The Dot Product
March 4
The Cross Product
March 6 The Cross Product
March 8 Chapter 13 Review
Parametric Equations
March 11
Parameterized Curves
March 13 Motion, Velocity, and Acceleration
March 15 Review
March 18 Final Exam 8:00 to 10:00
*eoo means do every other odd problem.
Jan. 2
Section
Covered
In Class
Practice Problems
Do odd problems unless otherwise
specified!
(Not collected)
9.1
9.1
9.2
9.2
9.3
9.4
9.4
9.5
9.5
10.1
1,5,9,11, 15-25
29-33, 41, 43, 51, 53
1-23
27, 31 (4% is the tax rate), 33
3, 5, 7, 13-33 eoo*, 35, 37, 43
5-45 eoo*
47-75
10.2
1, 5, 11, 15-23, 27, 29, 35-39
10.3
10.4
12.1
1-27
1-9, 10, 11, 15, 21
1-11, 19, 23, 27, 28, 31
12.2
12.3
12.4
1-19, 23, 25
1-7, 11, 15-21, 25, 29
1-17, 21-27
13.1
13.2
13.3
13.3
13.4
13.4
1-9, 15, 17, 21, 25-39
7-23
1-17
19-49
7-15
16-27 all
4.8
17.1
17.2
1-7, 17, 19, 35, 37
1-43, 47, 51, 59
1-29, 33, 35
3-27
1, 5, 9, 11, 15-25b 29
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