MA462 - Advanced Calculus
Class Syllabus - Fall 2010
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Course
Description:
Advanced
Calculus consists of a
theoretical approach to the study of limits,
sequences, continuity, derivatives, and integrals. Topics may include a
review of logic, proof, sets, and functions; the development of the real
number system; sequences; limits and continuity; differentiation;
integration; infinite series; and sequences and series of functions.
This course is typically considered the hardest course in the
undergraduate mathematics curriculum regardless of instructor.
In
order to increase the likelihood of success in this course it is
recommended that the student attend class without fail, focus on
understanding the concepts, read the textbook, religiously work the
homework, and seek help from the professor when needed. (3
Semester Hours)
Prerequisites:
MATH 361 - Calculus
III and MATH 300 - A Transition to Advanced
Mathematics, both completed with a C or better.
Professor:
Dr. M. Leigh Lunsford. For Dr. Lunsford's office location, phone
number, email address, schedule (including office hours), and other
general information, go to her homepage:
http://www.mathspace.com/Lunsford/
Meeting
Times and Location: TR
11:00 am - 12:15 pm, Ruffner 352
Course Textbook, Textbook CD-ROM, &
Textbook Website: Analysis:
With an Introduction to Proof, 4th Edition, by Steven R. Lay,
Prentice Hall, 2005, ISBN: 0-13-148101-0
Required
and Recommended Technology/Computer Configurations:
You should be able to type technical documents in LaTex or in Word using either the
equation editor or MathType. Other than that there are no
technology requirements for this class! You are welcome to use
your calculator, Maple and/or Derive to play around with ideas, however, be
forewarned: You WILL NOT be allowed to use a calculator on any
in-class quizzes, your midterm, or your final.
Determination of
Course Grade:
20% - Individual Hand-In Homework Assignments
18% - Quizzes and Board-Work
25% - Midterm Exam
7% - Mathematics Cultural Points (cults)
30% - Comprehensive Final Exam
My
grading in this class will be incredibly strict. Thus we will not
be on a 10 point scale. I will keep you appraised of how the class
is doing as a whole as we progress through the semester. Grades
can be interpreted via the scale below. Please note that when I
say "average" I am referring to an average mathematics major
at a university or college in the United States.
A:
Excellent, far above average
B: Definitely above average
C: Average
D: Below Average
F: Failing
Individual
Hand-In Homework Assignments: Please follow
these guidelines
when preparing your hand-in homework. While I want you to discuss
mathematics with each other, you should not copy mathematics from each
other. Thus it is OK to discuss your homework assignments with
your classmates but it is not OK to completely give the solution to a
problem to another classmate nor is it OK to copy part or all of another
person's solution. Your solution should be presented in your own
words. If I even suspect that you have copied part or all of your
work from another individual in this class, both you and the person you
copied from will receive a zero on that assignment and be brought before
the LU judicial board. The LU honor system will be strictly
followed for these assignments. It is strictly forbidden to
discuss your homework with another faculty member.
In-Class Board-Work: About every two or
three weeks
we will have a class period in which students present their solutions to
select problems on the board. Please see the
Board-Work Presentation Guidelines
for how you will be evaluated.
Quizzes: About every two or three weeks we
will have a quiz. The quizzes will be based on your
practice homework and our in-class discussions. The quizzes will
be closed-book, closed-notes, and you will not be able to use a
calculator. The quizzes will be given outside of class. I
will give a time frame during which you may take the
quiz.
Drill Problems:
I will also assign problems which will not be board-work nor hand-in
homework. Even though these are not problems that will be graded
you should endeavor to work as many of them as possible. The
questions on your quizzes will come
directly from these problems and our in-class discussions.
Midterm
Exam: Around the 6th or 7th week of class we
will have a midterm exam. For the exact date of the exam see the Assignments page.
I will give at least a one-week notice for the exam.
This exam will be closed books, closed notes, and you will not
be able to use a calculator.
Mathematics Cultural
Points (cults): In order to
receive the full 7% credit for mathematics cultural points you must earn
at least 10 cults. To determine how to earn cults
please click here.
All cult submissions must be received by Friday, December 5. In addition, any cults that
you submit as a write-up to a planned event (e.g., a colloquium), must be
received no later than 2 class days after the event occurs. Please note
the deadline for obtaining approval for an article to present is Friday,
November 21.
Final Exam:
The final exam for this course will be comprehensive. You cannot
miss the final - failure to take the final exam will automatically
result in an F grade for the course. The final exam will also be
closed book, closed notes, and you will not be able to use a calculator. Please see me as soon
as possible if you may have a conflict with the final exam date. Final Exam
Date: Thursday, 9 December, 3:00 p.m. - 5:30 p.m. Extra
Credit: Extra
Credit will not be given, period.
Honor System:
I expect
you to conform to the
Longwood University Honor System as contained in the
Student
Handbook. All material handed in to me (homework, quizzes,
tests) must be pledged.
Attendance &
Excused Absences:
You are expected to attend every class. If you miss classes it will most likely be reflected in your grades (i.e. you will
perform poorly).
The following college attendance policy will be followed per the Class
Attendance section of the Academic Regulations chapter of the Longwood
University Undergraduate Catalog: Missing
10% of class meetings may result in a lowering of
one letter grade. Missing 25% of class meetings
for any reason will result in an automatic “F” for
the course.
Absences are
excused only for illness, college sponsored activities, and recognizable
emergencies. You must have the proper documentation for an excused
absence.
Student Health Services can provide documentation only for students
hospitalized locally or absent at the direction of Student Health
Services personnel.
You must also
assume full responsibility for all material covered during your absence,
including scheduling any make-up quizzes or exams. A grade of "0"
will be assigned for all work missed due to unexcused absences. Make-up
Policy:
Make-up assignments will be given only when the reason for missing the
assignment meets the criteria for an excused absence (see above).
Except in the case of emergencies, make-up assignments must be scheduled
and/or turned-in before the due date of the assignment being made-up
(i.e. you should plan ahead if you know you are going to miss class).
Late hand-in homework will not be accepted, period. As a general rule, you can expect that make-up tests
or quizzes will more difficult
than regularly scheduled tests or quizzes. If you have a recognizable
emergency, please contact me as soon as you can to discuss your make-up
options.
Office of Disability Services:
Any student who feels s/he may need an accommodation based on the impact
of a
physical, psychological, medical, or
learning disability
should contact me privately. If you have not already done so, please
contact the Office for Disability Services (395-2391)
to register for services.
General Class Pace: Below is a tentative list of
the material we will cover and when we will cover it. For more
details please see the Class Pace and Assignments page.
|
Material Covered |
Week of Class |
| Chapter 2: Sets and Functions |
Weeks 1 - 3 |
| Chapter 3: The Real Numbers |
Weeks 3 - 5 |
| Chapter 4: Sequences |
Weeks 5 - 7 |
| Midterm Exam |
Around week 6 or 7 |
| Chapter 5: Limits and Continuity |
Weeks 8 - 10 |
| Chapter 6: Differentiation |
Weeks 11 - 13 |
| Chapter 7: Integration |
Week 14 |
| Final Exam |
Week 15 |
|