Instructor: 
Dr. Michael Oehrtman 
Office Hours: 
MW: 2:15 pm –
4:15 pm 
Class Times: 
MWF 12:20 pm – 1:10 pm 


Locations: 
MICH L0108 


Class Website: 
http://www.unco.edu/nhs/mathsci/facstaff/oehrtman/math431 
Course Description: This course
develops the content of calculus through rigorous definition and proof.
We will cover Chapters 15 in
the text, although we may diverge from this occasionally. 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 and Presentations: 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. Throughout the semester, you
should aim to make 5 presentations to the class about key ideas in
definitions, proofs, or examples that I identify.
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 duedates 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 ONEINCH 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
10 to 12 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 as 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 that 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: Five chapter exams will be given in in class, and before each exam, I will provide an overview of what will be covered on the Study Guides page.
Final: The final exam will be
comprehensive and administered at the officially scheduled time, Tuesday,
December 11 from 1:30pm  4:00pm.
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 three or more exams
scheduled in one day, personal emergencies, or for reasons of religious
practice. 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
endofsemester plans.
Graduate Credit: I will create
slightly different homework sets and
exams for students enrolled
in MATH 531 to reflect a heavier emphasis on proof and thorough
development of the logical foundations of calculus over examples and
applications.
Collaboration:
I assume that you are here to
learn. If you talk to each other, you will learn from each other,
perhaps more than you will learn from me. I
encourage you to form study groups. Try the
homework yourself, and then get together with a study group to go over
questions, and to study for tests. You will
learn a great deal from articulating your questions and explaining
material to your peers. Discussion
of assigned homework is encouraged, but you should be sure you fully
understand the material by writing your solutions on your own. Evidence of any cheating or collaboration on work
assigned to be completed individually will result in a 0 for that work,
at minimum.
Honor Code: All
members of the
Students with Disabilities: Students who require special accommodations due to a disability should contact Disabilities Support Services (3512289) as soon as possible to better ensure that accommodations are implemented in a timely fashion.
Grades will be determined as follows:MATH
431 

MATH
531 

Points 

Grades 
Points Earned 

Grades 
Points Earned 


Homework 
300 
A 
930  1000  A 
900
 1000 


Chapter
Exams 
500 
A–  900
 929 
B 
800
 899 


Final Exam  __200__ 
B+ 
870
 899 
C 
700
 799 


Total
Possible 
1000 
B 
830  869  D 
600
 699 

B–  800  829  F 
0 
599 

C+ 
770  799  
C 
700  769  
D 
600
 699 

F 
0
 599 