M408K-CNS – Differential
Calculus for
Scientists
MWF 2 - 3, ETC 2.108 (57285,
57290,
57295)
First-day Handout, Fall
2009
INSTRUCTOR: Dr. Jane Arledge, RLM 13.140, arledge@math.utexas.edu
OFFICE HOURS: Tuesday 9 – 11:30, Wednesday 10 – 10:50, or by appointment
WEB PAGE: www.ma.utexas.edu/users/arledge
This course
consists of three
lectures and two discussion sessions per week.
The lectures are given by the instructor and are attended by all
students enrolled in sections with any of the three unique numbers
above. The discussion sessions are led by
a graduate
Teaching Assistant. New material will be
covered in each lecture, and during your discussion sessions you will
have the
opportunity to further your understanding of that material. You are expected to attend all five hours per
week. Your unique number determines which
of the three discussion sections is yours, as is indicated in the table
below.
|
Discussion Section |
Teaching Assistant for all
Discussion Sections |
|||
|
Unique # |
Day |
Hours |
Bldg. Room |
Karl Weintraub 475-8827 |
|
57285 |
TTh |
2-3 |
RLM 6.120 |
|
|
57290 |
TTh |
3:30-4:30 |
RLM 6.122 |
|
|
57295 |
TTh |
5-6 |
RLM 6.118 |
Office Hours: MW 3-4:30 |
TEXT: Calculus, by Stewart,
Sixth Edition.
OBJECTIVES
OF COURSE:
Successful students will leave
this course understanding the basic concepts and having mastered the
computational
skills of differential calculus. The
concepts covered will include limits, continuity, derivatives, maxima
and
minima, and trigonometric, logarithmic and exponential functions: 2.1 The Tangent and Velocity Problems, 2.2
The Limit of a Function, 2.3 Calculating Limits Using the Limit Laws,
2.5
Continuity, 3.1 Derivatives and Rates of Change, 3.2 The Derivative as
a
Function, 3.3 Differentiation Formulas, 3.4 Derivatives of
Trigonometric
Functions, 3.5 The Chain Rule, 3.6 Implicit Differentiation, 3.7 Rates
of
Change in the Natural and Social Sciences, 3.8 Related Rates, 3.9
Linear
Approximations and Differentials, 4.1 Maximum and Minimum Values, 4.2
The Mean
Value Theorem, 4.3 How Derivatives Affect the Shape of a Graph, 4.4
Limits at
Infinity; Horizontal Asymptotes, 4.5 Summary of Curve Sketching, 4.7
Optimization Problems, 7.2 Exponential Functions and Their Derivatives,
7.3
Logarithmic Functions, 7.4 Derivatives of Logarithmic Functions, 7.5
Exponential Growth and Decay, 7.6 Inverse Trigonometric Functions, 7.8
Indeterminate Forms and L'Hospital's Rule, 4.9 Antiderivatives. See www.ma.utexas.edu/dev/math/Courses/M408K/QuestStudentHandout.pdf
for a tentative schedule.
RESTRICTIONS
AND PREREQUISITES: This course is
restricted to students in the College of Natural Sciences.
The prerequisite for the class is an ALEKS
score of 70% or higher.
OPTIONAL
MATERIALS: It
may be helpful to check the
accuracy of your homework with a calculator.
However, work the problems by hand, since
no calculators maybe used during
quizzes or exams.
GRADES: On all work,
your grade will
be computed as a percentage: the number of points you earned
divided by
the number of points possible. It is
unlikely that any grade will be curved. The percentages of each type of work that
will be applied to your final grade are given below. The plus/minus
option for grading will
not be used in this class.
DEADLINES
FOR DROPPING A COURSE: If you drop a
class on or before September 11, the class will not show up on your
transcripts. If you drop a class after
that date, the course will show up on the transcript with a “Q” grade. After September 23, your Dean must approve
drops. After October 21, it is quite
difficult to get approval to drop a course, and there may be an
academic
penalty.
HOMEWORK: (10% of final
grade)
Paper
homework:
You will have assignments due each Tuesday
that will be graded. These assignments
will usually come from the textbook; assignments from all sections
covered
during each week’s lectures will be due the following Tuesday at the
beginning
of your discussion session. In
order to receive credit for an assignment, it
must be turned in at the beginning of the
discussion session, you must show all of your work, the homework paper
must be
stapled with no ragged edges (such as those on paper torn from a spiral
notebook), and your exercises must be written neatly, in order and well
labeled. This homework comprises 5% of
your final grade.
Online
homework: Online
homework will be
assigned regularly via the Web using the UT Homework Service,
Quest; all
answers and grades will be returned via the Web also using Quest. Generally, the schedule of these events will be: assignments
posted
on Sunday (for material to be covered the upcoming week in lecture),
due the
next Sunday at 10 pm, solutions will be published at 10:01 pm. There will be approximately 15 assignments,
and your highest 12 scores will be counted toward your grade. This homework also comprises 5% of your final
grade. You may download QUEST
information at www.ma.utexas.edu/dev/math/Courses/M408K/QuestStudentHandout.pdf
.
No late homework
of either variety will
be accepted for any reason.
QUIZZES: (10% of final
grade)
There will be
weekly quizzes
given during your Thursday discussion sessions.
These quizzes will consist of questions from material similar to
that
covered in lecture and/or assigned as homework from the previous week. Only the highest 8 quiz scores (out of at
approximately 10) will be counted toward your grade.
This will allow for the rare legitimate
absence; do not squander this allowance.
You must be in the discussion session to
take the quiz, and no makeup quizzes will be given for any reason.
EXAMS: (80% of
final grade) You
must bring a valid photo ID to all
exams.
Regular
semester exams: There will be three exams during the regular
semester,
each covering about 1/3 of the course material.
Some of the questions on each exam will be multiple choice,
like problems on the QUEST homework system, and some will require that
you show
your work, like problems from the text or the quizzes.
These 75-minute exams are
given in the evening in this lecture hall. Each
exam will comprise 20% of your final
grade.
Final exam: You will have
a comprehensive final exam during finals week. This 75-minute exam will be given in the evening in a room different
from the
lecture hall, on a day that we will not know until the end of the
semester. The final exam will comprise 20%
of your
final grade.
You should carefully examine the exam
dates below, since being available for these exams is a requirement for
this
course. You
should not make plans to leave town before the end of the final exam
period.
|
Exam I |
Exam II |
Exam III |
Final Exam |
|
Tuesday, Sept. 22 |
Tuesday, Oct. 27 |
Tuesday, Dec. 1 |
Thursday, Dec. 10 |
|
7-8:15 pm |
7-8:15 pm |
7-8:15 pm |
9 am-12 noon |
|
ETC 2.108 |
ETC 2.108 |
ETC 2.108 |
UTC 4.122,4.124 |
Makeup exams are given only at the
discretion of your instructor, and only for serious reasons such as
having a regular class scheduled during the evening
exam, a serious
illness, or an emergency. In order to
have any hope of being allowed to take a makeup exam, you must contact
the
instructor via email before the exam
(if physically possible), and have documentation indicating your
inability to
take the exam at the scheduled time. As
examples, family members buying you airline tickets for travel on the
day of an
exam is not an appropriate reason to miss an exam, and lack of planning
on your
part does not constitute an emergency.
An approved makeup exam may
be taken only on the following days.
|
Exam I makeup |
Exam II makeup |
Exam III makeup |
Final Exam makeup |
|
Friday, Sept. 25 |
Friday, Oct. 30 |
Friday, Dec. 4 |
Friday, Dec. 11 |
|
3:30 – 4:45 pm |
3:30 – 4:45 pm |
3:30 – 4:45 pm |
7-10 pm |
|
Bur 108 |
Bur 108 |
Bur 108 |
RLM 4.102 |
STUDENTS WITH DISABILITIES: Upon request,
the University of Texas at Austin provides appropriate academic
accommodations
for qualified students with disabilities.
For more information, contact the Office of the Dean of Students
at
471-6259 or 471-6441 TTY. Students who
are approved for the University’s
Learning Disability Policy, and who submit the appropriate
paperwork to the
instructor before the exam, will be allowed to take the exam as is
indicated in
the table below. The time allowed for an
exam depends upon the student’s paperwork.
|
Exam I, SSD |
Exam II, SSD |
Exam II, SSD |
Final Exam, SSD |
|
Tuesday, Sept. 22 |
Tuesday, Oct. 27 |
Tuesday, Dec. 1 |
Thursday, Dec. 10 |
|
6-8:30 pm |
6-8:30 pm |
6-8:30 pm |
8 am - 1 pm |
|
RLM 7.116 |
RLM 7.116 |
RLM 7.116 |
Room TBA |
STUDENT
CONDUCT:
All computers, cell phones and other hand-held
devices must be put away out of sight during class and during exams.
Please come to
class on
time. If you will be late or need to
leave early for some legitimate reason, please sit near the exit. Coming and going during class is distracting
to your fellow students, and they do not like it; we know this because
students
complain about it.
Cheating is
dishonorable and
disgusting. Keep in mind that honest
students do not like cheaters, and often report what they see. If you are caught cheating, you will be
penalized as harshly as possible under the rules of UT.
Do not cheat.
You may believe the
instructor cannot tell what you are doing when you sit at the back of a
large
classroom. This is not true.
Please do not talk or otherwise disturb students
in the class who are trying to learn.
ATTENDANCE: This course is
structured with the
expectation that you will attend every lecture and discussion session,
and your
grade will benefit from your attendance.
Of course, sometimes an absence is necessary.
In such a situation, you should contact a
classmate to get notes and information for the class you missed. Please
introduce yourself to and get the names and phone numbers of at least
five
classmates.
If you choose to
miss class, do not email or otherwise contact your
instructor or TA to ask what material was covered during class, what
the
assignments are, when assignments were made, whether or not there was
or will
be a quiz, what sections the exams will cover, or any other
question that
has been answered or will be answered during class.
Your instructor is not likely to respond to
such queries; if you choose to miss class, letting you know what you
missed is
not your instructor’s responsibility.
ADVICE: You should
think about this fact: your instructor
will write the lectures and lead the discussion in class, and will
write the
exam material (which is 80% of your grade).
Therefore, it will be to your advantage to have complete lecture
notes
to study for exams. Studying the book is
good, and understanding the homework and quizzes is necessary. However, on exams
you will be asked questions that will ascertain whether you have a
thorough
understanding of the material, and the easiest way to attain such
understanding
is to work during class and discussion sessions, writing notes and
listening
and thinking and asking questions. The
homework exercises solidify this understanding, and taking quizzes
seriously
enables you find out what you do not know before
you take the exam.
Drop-in tutoring
(free) and
private tutoring (not free) for M408K are available in the UT Learning
Center
in Jester A332 (www.utexas.edu/student/utlc),
as well as some free workshops and classes.
Your instructor and
your TA have
office hours, and are happy to meet with you and help you.
You should take advantage of this
access.