Xinfeng Liu
Email:
xfliu@math.sc.edu
Phone: 576-5849
Office Location: LC 422
Office Hours: TTH 1:30PM-3:00PM or by appointment
Syllabus
Textbook: Introduction to Analysis, 5th Edition, by
Edward D. Gaughan.
Course Content: This course will cover the materials presented in
Chapters 0-5 of the text.
One of the goals of this course is to provide the theoretical foundation of many
results used in Calculus. In Calculus the emphasis is on how to calculate limits,
derivatives and integrals, while here the emphasis will be on the definitions,
theorems and proofs, which show the justification of what we do in Calculus.
Learning Outcome:
Students will master concepts of real analysis and learn how to do proofs.
Reading: Reading the textbook
in advance of the lecture is strongly
encouraged. Benifits of this preparation include obtaining a familiarity with the terminology and
concepts that will be encountered (so you can distinguish major points from side
issues), being able to formulate questions about the parts of the presentation that
you do not understand, and having a chance to review the skills and techniques
that will be needed to apply the new concepts.
Homework:
Homework Assignment
Homework will be assigined for each section, and
will be collected regularly (generally on Thursday).
Late homework will not be accepted, and no make-ups for missing homework.
Your homework grade will be based on your ten (10) highest homework scores.
Exams: There will be two midterm exams and one comprehensive final exam.
Tentative dates for exams are:
Exam 1: Thursday, February 16, 11:00AM - 12:15PM
Exam 2: Thursday, March 22, 11:00AM - 12:15PM
Final Exam: Monday, April 30, 9:00 AM - 12:00 PM
The exams are "closed book": no books, no notes, no
calculators, no labtop comptuer or equivalent technology, etc.
There are no early exams. A make-up exam is only possible for
written legitimate documented reasons of illness, family emergency, or participation
in a University sponsered event.
Grades:
| Exam 1 |
20% |
| Exam 2 |
20%
|
| Final Exam |
35%
|
| Homework |
25%
|
| Total |
100%
|
A straight scale will be used
so that A's, B's C's and D's correspond to the percent ranges 100-90,
90-80,
80-70 and 70-60 respectively. Plus grading will be used. For example:
| 90-100:A |
86-89: B+ |
80-85: B |
76-79: C+ |
| 70-75: C |
66-69: D+ |
60-65: D |
0-59: F |
Attendance: Attendance at every class meeting is important - and expected. Students missing
more than 10% of the class meetings (4 days) can have their grade lowered.
Cell Phone Policy:
Please remember to turn off or silence your cell phone prior to class. No texting
allowed during class. Computers can only be used to make notes, and playing computer games
during class is not tolerated.
Graduate Credit:
Students taking Math 554 for graduate credit will have additional
or some different questions on tests.
Class Files: Check on Blackboard
Academic Dishonesty: Cheating and plagiarism in any form is not tolerated.
If a student is caught cheating, I will follow the guidelines as set
forth in the USC Honor Code and other University guidelines.