Email:
ziessara@email.dom.edu
Office
Hours: 9.30-11.20 MRF
9.30-10.20
and 2.30-3.20 W
Two
of these office hours will be in the Academic Resource Center. Which hours
these are will be announced in class.
Text: Yet another introduction to
analysis by Victor Bryant,
Cambridge University Press
Chapters studied: 1-5
Prerequisites: Mathematics 270
Course Objectives: Real Analysis provides a
foundation for the topics covered in the standard calculus sequence and is an
essential prerequisite for any higher-level mathematics. The aim is to increase
the understanding of the ideas behind calculus and to improve the ability of
the student to both understand and create
proofs.
Specific
objectives include:
1.
Terminology
and methods of proof
2.
Real
number system
3.
Sequences
and limits
4.
Functions
and Continuity
5.
Theory
of differentiation
6.
Theory
of integration
Course Requirements: There will be a test at
the end of each chapter. These tests will have equal value, and will together
make up 75% of your final grade. Homework will make up 20%, and the final 5%
will come from presentations, as described below.
Attendance is compulsory
Should
you be unable to attend I expect you to call me and explain your absence.
Unexplained
absences or frequent lateness may affect your grade.
Examinations: There will be a test at the end of each chapter. You will be
given at least one week’s notice of each test date. Make-up exams will not be
given except in extraordinary circumstances and with prior approval. To arrange for a make-up exam you must call me or
see me before the scheduled
examination. Missed examinations result in a grade of 0.
Homework: A copy of all homework
assignments is attached. Note that these are not from the text. The text gives
full solutions to all problems, and is therefore not appropriate for homework.
However, you may find the text useful when doing the homework, as the problems
are often closely related to those given in the text.
Homework
problems will be assigned approximately once a week and, unless otherwise
stated, will be due one week from the day that it is assigned. Late homework
will be accepted for credit only if
you obtain prior approval. No homework will be accepted more than 1 class
period late.
Student
Presentations: During the course of the semester each student will be assigned two
homework problems from the book, and asked to present the solution to the
class.
A
list of problems is appended, and the allocation of problems will be made the
first day of class. Dates of presentations will be arranged in class, and you
will have (at least) one week’s notice. The presentations will be graded
primarily on clarity of explanation.
Extra/Alternative Credit
Options
You may replace your grade on one test with your
grade on a 3-5 page (typed) paper on the history of calculus. You must use at
least three sources, and these may not all be web sites. For book sources, you
can use the library, or borrow books from me. I must receive all papers by the
last day of classes. No late papers will be accepted. A grading rubric is
available to anyone interested in this.
Grading Scale:
92-100 A
89-
91 A-
87-88
B+
82-86 B
79-81 B-
77-78 C+
72-76 C
69-71 C-
60-68 D
Below
60 F