First-day Handout
Spring 2011
M408S – Integral Calculus for Scientists
T/TH 12:30-1:45 pm, RLM 4.102 (55860/65/70)
Instructor: Elizabeth Stepp, RLM 13.142, [email protected]
Office hours: Tuesdays 2 – 3pm; Wednesdays 11- 1pm
Web page: www.ma.utexas.edu/users/steppel
Tentative Lecture Schedule
Book Assignments
This course consists of two long 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
55860
MW
10:00-11:00
BUR 134
55865
MW
3:00-4:00
RLM 5.114
Sean Bowman
RLM 12.144
475-8689
[email protected]
55870
MW
4:00- 5:00
RLM 7.120
Office Hours:
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 integral calculus. The concepts covered will include an introduction to the
theory and applications of integral calculus of functions of one variable. Topics include integration, the fundamental
theorem of calculus, transcendental functions, sequences, and infinite series: 4.9 Antiderivatives, 5.1 Areas and
Distances, 5.2 The Definite Integral, 5.3 The Fundamental Theorem of Calculus, 5.4 Indefinite Integrals and the Net
Change Theorem, 5.5 The Substitution Rule, 6.1 Areas Between Curves, 6.2 Volumes, 7.2/4/6 (integration of
exponential and logarithmic functions), 8.1 Integration by Parts, 8.2 Trigonometric Integrals, 8.3 Trigonometric
Substitution, 8.4 Integration of Rational Functions by Partial Fractions, 8.5 Strategy for Integration, 8.8 Improper
Integrals, 12.1 Sequences, 12.2 Series, 12.3 The Integral Test, 12.4 The Comparison Tests, 12.5 Alternating Series,
12.6 Absolute Convergence and the Ratio and Root Tests, 12.7 Strategy for Testing Series, 12.8 Power Series, 12.9
Representations of Functions of Power Series, 12.10 Taylor and Maclaurin Series, 12.11 Applications of Taylor
Polynomials, 15.3 Partial Derivatives, 16.1 Double Integrals over Rectangles, 16.2 Iterated Integrals, and16.3 Double
Integrals over General Regions.
RESTRICTIONS AND PREREQUISITES: This course is restricted to students in the College of Natural Sciences.
The prerequisite for the class is a grade of C or better in M 408K or M 408C or equivalent.
OPTIONAL MATERIALS: A calculator is not required for this course. While working on homework it may be
helpful to check the accuracy of your work with a calculator. However, you should work the problems by hand, since
you may not use a calculator during quizzes and exams.
GRADES: On exams, 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 exam 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 February 3, 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 February 15, your Dean must approve drops. After March 29, it is not possible to drop a course except for
extenuating (usually non-academic) circumstances.
8/20/09
HOMEWORK: (10% of final grade)
As you are aware, you must do calculus in order to learn calculus. The expectation is that your homework will require
approximately 10 hours per week of your time. We make it 10% of your grade and collect it in order to motivate you
to do it. However, doing or not doing assigned homework will have much more than a 10% effect on your grade!
While the attached calendar gives an idea of when each homework assignment will be due (one paper and one online
assignment for each section covered), the due dates will be determined by the date of the lecture in which I actually
finish a section (see Paper homework and Online homework below). You are responsible for knowing these dates.
No late homework will be accepted. As noted below, we will drop some of the homework scores to allow for
legitimate reasons for not turning in an assignment (left it at home, computer crashed the night the Quest was due, ill
with the flu, didn’t get the assignment in time, didn’t know the due date, did the wrong assignment, family emergency,
etc.) Please do not ask if we will accept a late assignment. We will not.
Book homework: In each class meeting, we will collect one (or sometimes two) homework assignments from the
text, and will grade selected problems. In order to receive credit for an assignment, you must show all of your
work, the homework paper must be stapled with no ragged edges (such as those on papers torn from a spiral
notebook), your exercises must be well-labeled, neat, and in order, and your assignment must be turned in at
the beginning of class. There will be approximately 30 such assignments (one for each section of the book
covered); your highest 25 scores will count towards your grade. This homework comprises 5% of your final
grade. You may view homework assignments at
http://www.ma.utexas.edu/users/steppel/homework.pdf
Online homework: Online homework will be assigned from each section of the text via the Web using the UT
Homework Service, Quest; all answers and grades will be returned via the Web also using Quest.
Assignments will be posted before the material is covered during lecture, and will be due at midnight
following the first discussion session after the material is covered during lecture. There will be approximately
30 assignments (one for each section of the book covered); your highest 25 scores will count towards your
grade. This homework also comprises 5% of your final grade. You may access QUEST at :
https://utdirect.utexas.edu/
EXAMS: (90% 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 on the homework. These 50
minute exams are given in our regular lecture hall during class. Each exam will comprise 20% of your final
grade.
Final exam: You will have a comprehensive final exam during finals week. This exam is 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. Each exam
will comprise 30% of your final grade.
Makeup exams are given only at the discretion of your instructor, and only for serious reasons such as
1. Having a regular class scheduled during the evening exam,
2. Serious illness, or
3. 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.
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
under the arrangements made by you and your instructor. The time allowed for an exam depends upon the student’s
paperwork.
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.
1.
2.
3.
4.
5.
(These are people you will email if you need to know what homework is due and when – not me!)
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 90% 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 is necessary. However,
to use a sporting analogy, doing the homework is exercising during workouts, but taking the exam is playing the game.
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 before you take the
exam.
CHEATING: Cheating is dishonorable and disgusting. Keep in mind that most students are honest, and 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.
Drop-in tutoring (free) and private tutoring (not free) for M408K are available in the UT Learning Center in Jester
A332 (http://utlc.utexas.edu), 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.
Before you email me to ask a question about the rules and procedures of this course, please read through this handout
to see if the answer is written here. I tried hard to include in this document information that you are likely to be
asking; please use it.
Email Etiquette: Often we mistakenly think that sending an email
is like sending a text. Check out the following tips on how to
compose a professional email:
http://www.101emailetiquettetips.com/