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MA 452/502 |
| Faculty: |
Prof.
S.S. Ravindran |
| Lecture Room: |
Madison Hall 310 |
| Lecture Time: |
MW 12:30 p.m. - 2:30 p.m. |
| Office Hours: |
MTW 3:00 - 5:00 p.m and by appointment. |
MA452/502:
Introduction to Real Analysis
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Introductory Real Analysis,
by F. Dangello and M. Seyfried ;
Houghton Mifflin Company, 2000.
This course is designed to expose students to topics such as continuity,
differentiation, integration in one variable, but under a more rigorous
approach. Emphasis in logical and critical thinking, along with
mathematical writing, play an essential role in understanding mathematics.
To some extent, students at this level are expected to learn how to
communicate and prove theoretical results with proper techniques in a clear
and coherent manner. Graduate students enrolled in MA502 will be ecpected to
complete additional assignments, i.e. homework assignments, outside reading.
- Sequences, limits, continuity.
- Differentiation of functions of one variable.
- Reimann integration
- Sequences and series of functions, uniform convergence
- Power series and Taylor series
MA330, MA442, or approval of instructor
Hourly examinations
There will be two in-class examinations during the semester.
These are scheduled for June 28 and July 21.
Final examination
There will be a comprehensive final examination from 11:30-2:00p.m
on July 28.
Make-ups
No make-up tests will be given, and no accommodations
will be made for a missed assignments. If you miss a test due to a documented
illness, family emergency or other extreme circumstance, the weight of
your remaining grades will be adjusted to compensate provided I receive
a written excuse within a reasonable amount of time
after the missed test.
Assignments
Regular homework will be assigned weekly in your lecture sessions.
Your cumulative regular assignment scores will make up 20% of the
final course grade.
Your assignment must be neatly written with appropriate
discussions and stapled. Do not fold it or include it in envelope.
Course grading
Each student's grade will be based on the individual grades
from exams and assignments. The approximate percentage weights
are as follows:
Grade Weights
| Item |
Approx.
Weight |
| Two Mid-term Exam(s) |
50% |
| Final Exam |
30% |
| Regular Assignments |
20% |
| Total |
100% |
Grading Scale
| A |
90.0 - 100% |
| B |
80.0 - 89.9% |
| C |
70.0 - 79.9% |
| D |
60.0 - 69.9% |
| F |
Below 60.0% |
The grades will not be curved. That is, there is no quota for the
number of A's, B's, etc. that will be given for the course.
| Week |
Dates |
Sections |
Comments |
| 1 |
05/24 to 05/28 |
2.1,2.2,3.1 |
.... |
| 2 |
05/31 to 06/04 |
3.2-3.4 |
....... |
| 3 |
06/07 to 06/11 |
3.5,3.6,3.8 |
... |
| 4 |
06/14 to 06/18 |
4.1,4.2,4.3 |
......... |
| 5 |
06/21 to 06/25 |
4.4,4.5 |
........... |
| 6 |
06/28 to 07/02 |
5.1,5.2,5.3 |
1st Midterm on 06/28 in class
|
| 7 |
07/05 to 07/09 |
6.1,6.2,6.3 |
.........
|
| 8 |
07/12 to 07/16 |
6.4-6.6 |
.... |
| 9 |
07/19 to 07/23 |
7.1 |
2nd Midterm on 07/21 in class
|
| 10 |
07/26 to 07/30 |
7.2 |
.... |
Note: This is an approximate syllabus only and because of differences in weekl
y schedules, some variations are to be
expected.
| Section |
Exercises |
| 2.1 |
1,2,3,4,6,10 |
| 2.2 |
1,3,4,5,6,7 |
| 3.1 |
1,2,3,4,5,6 |
| 3.2 |
1,2,3,4,5,6,7 |
| 3.3 |
1,2a),3,4,5 |
| 3.4 |
1,2,3,4,6 |
| 3.5 |
1,4,5,6 |
| 3.6 |
1,2,3,4,5,6,7 |
| 3.8 |
1,2,3,4 |
| 4.1 |
1,2,3,4,5 |
| 4.2 |
1,2,3,4,6,7 |
| 4.3 |
1,2,3,4,5,6,7 |
| 4.4 |
1,2,3,4,5,7,8,9 |
| 4.5 |
1,2,3,5,8,9 |
| 5.1 |
1,2,3,4,5,6,7 |
| 5.2 |
1,2,3,5 |
| 5.3 |
1,2,3,4,5,6,7 |
| 6.1 |
1,2,3,4,6 |
| 6.2 |
1,3,4,5 |
| 6.3 |
1-8 |
| 6.4 |
.............. |
| 6.5 |
.............. |
| 6.6 |
.............. |
| 7.1 |
.............. |
| 7.2 |
.............. |
You should read the chapter sections before class on the day indicated.
Homework will be assigned weekly in the class, but not collected.
You should consider the homework
assignments as a minimal exercise. If you don't feel confident after doing
the given homework, please
do some additional exercises in the textbook. The more exercises you do,
the better off you will be. You are encouraged to discuss homework
problems with your fellow students, especially in a group setting.
Services for Students with Disabilities:
Students with disabilities needing academic accommodations should
1) register with and provide
documentation to the Student Development Services Office,
and 2) bring a letter to the instructor from SDSO indicating you need academic
accommodations. This should be done within the first week of class.
This and other class materials are available in alternative
format upon request.
Links to access your grades etc
Student web to obtain grades etc.
Faculty web to post grades etc.
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