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Instructor: |
Dr. Michael Oehrtman |
Office Hours: |
TTh: 11:45 am –
1:00 pm |
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Class Time: |
Tuesday and Thursday, 10:30 – 11:45 am |
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Location: |
LL 106 |
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Class Website: |
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Course Description: This course
develops the content of calculus through rigorous definition and proof.
We will cover Chapters 0–5 in
the text, although we may diverge
from
this occassionally. Learning
to
read and understand rigorous mathematics and to generate proofs
requires significant effort that is different in nature from what was
required to succeed in most mathematics classes you have previously
taken. Consequently, much
of our class time will involve your work in groups and presentations of
problems and proofs at the board. I will also expect the class to take
responsibility for assessing the integrity of these arguments.
Class
Participation: I expect everyone in the class to contribute
constructively to the class and group discussions. This can take
several forms from clearly articulating points of confusion to
uncovering problems with previous lines of reasoning to providing key
ideas and breakthroughs. If your entire group is stuck and/or confused
(there is something wrong if this doesn't happen on a regular basis),
you should not give up and wait for me to come around, but you should
be resourceful in trying to find new ways to attack the problem or on
uncovering what is wrong with your previous attempts. You should also
look for ways to draw other students into the conversation, since much
of what you need to learn is how to listen and evaluate mathematical
reasoning. You are not participating fully if you are at either
extreme: either never talking or doing all of the talking.
Homework: You should allot a
significant amount of time to spend on the homework for this class well
in advance of the due date. Very few students will be able to earn much
credit on an assignment worked just a day or two before it is due. You
should also seek help in office hours well before the day an assignment
is due, since it will take time to solidify and apply the ideas you
take away from our discussions. The best way to make sure that
you are developing the appropriate insights and on the right track is
to talk to other students about the problems. I encourage you to work
together, but each student must write up his/her solutions in his/her
own words. All assignments and due-dates will be posted on the homework page of the class website, and you
are responsile for keeping track of them. If you forget to bring your
homework to class, you may submit it up to 24 hours later with a 20%
penalty. No homework will be accepted later than this under any
circumstances. Type or write all of your work LEGIBLY on 8½"×11" paper with at
least ONE-INCH margins on all sides free of writing except your name,
date, and assignment number, and STAPLE all pages together. In general,
assigned questions will require significant depth in your responses. In
order to earn an A or B for the course, I anticipate that most people
will need to spend approximately six to eight hours per week outside of
class on homework, reading, and studying.
Reading and Definitions: Reading assignments from the textbook
will also be posted on the homework page. In order to understand what is being
discussed in class you must have read the assigned material BEFORE
coming to class. Reading terse and rigorous mathematical text often
requires several passes and an active effort to look up definitions,
sketch diagrams, reflect on counterexamples, etc. I view one of the
main objectives of this class helping you to become good at reading and
writing rigorous mathematics, but doing so will require time and
practice on your part. You should not get discouraged if you experience
significant confusion and frustration at times in this process, since
this is normal and I will do all I can to help you overcome this. The
first and perhaps most important step is for you to learn precise
definitions and be able to state them
without error and to learn to focus on the definitions of the terms in
any statement you are trying to understand, prove, or disprove. Getting a
definition "close" (but not exact) or focusing only on intuitive
interpretations of terms can lead to completely incorrect reasoning,
proofs and results.
Exams: Three exams will be given in the Mathematics Testing Center (PSA 21).These exams will assess your understandings of the mathematical content covered in the course, and before each exam, I will provide an overview of what will be covered. The Testing Center is open Monday through Thursday 9:00 am – 8:00 pm (with latest entry at 6:30 pm) and Friday 9:00 am – 5:00 pm (with latest entry at 3:30 pm). In order to be admitted to the testing center, you must present a valid ASU "Sun Card." Calculators will not be allowed on the exams.
Final: The final exam will be
comprehensive and administered in class on Tuesday, May 11 from 9:50 –
11:40 am. The Department of
Mathematics follows Arizona Board of Regents policy, which states that
all final examinations shall be administered at their officially
scheduled times. A final exam schedule appears in the Fall Bulletin of
classes and on the Web at http://students.asu.edu/final-exam-schedule.
Requests to take the final examination at a time other than the
published time will not be granted except in cases of conflict with the
scheduled exam time for another course, having more than three exams
scheduled in one day, personal emergencies, or for reasons of religious
practice. The Department of Mathematics reserves the right to require
written documentation to substantiate any claim of hardship. In
particular, nonrefundable plane tickets, weddings, work schedules, and
the like are not acceptable reasons for final examinations. Please keep
this policy in mind when making end-of-semester plans.
Grades will be determined as follows:
| 50 |
Chapter
0 Quiz |
A+ | 970 and above | ||||
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300 |
Homework |
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A |
930 – 969 |
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150 |
Exam 1 |
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A– |
900 – 929 |
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150 |
Exam 2 |
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B+ |
870 – 899 |
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150 |
Exam 3 |
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B |
830 – 869 |
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200 |
Final |
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B– |
800 – 829 |
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C+ |
770 – 799 | |||
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1000 |
Total |
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C |
700 – 769 |
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D |
600 – 699 |
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E |
below 600 |
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