Math 50503 Real Analysis I
Fall 2018, section 020, MWF 10-10:50 in WIN 148
Instructor: Dr. Igor Prokhorenkov. Office: TUC 311.
Office Hours 11-12 and 2-3 on Mondays and Wednesdays, 2-3 on Tuesdays and Thursdays, 11-12 on Fridays. (I am also available at other times as needed.)
| My Phone | Office: 817-257-6342 (I have voice mail) |
Class web page:
Class web page is available at the address
http://faculty.tcu.edu/prokhor/real.html , it contains links to the
syllabus and homework assignments.
Textbook:
Stephen Abbott Understanding Analysis, 2nd ed.,
Springer 2016.
Prerequisites:
MATH 30053 with a C- or better.
Course Description and Goals:
The goal of Real Analysis is to provide insights into logical foundations
and inner workings of Calculus. We will spend a lot of time
practicing understanding and writing precise mathematical arguments and proofs.
The following topics will be covered: elementary limit processes, basic
topology of real line, continuity,
sequences, series, differentiation, and integration (see Chapters 1
through 7 of
the textbook).
Calculator/Computer:
You do not need a calculator in this class.
Grading:
The final grade for this course will be determined as follows.
| Homework and Quizzes | 16% | |
| Exam #1 | 18% | Monday, September 24 |
| Exam #2 | 18% | Friday, October 26 |
| Exam #3 | 18% | Friday, November 16 |
| Cumulative Final Exam | 30% | Monday, December 10, 8 - 10:30 |
Your weighted course average x determined by your scores and the percentages above will be used to determine the final grade as specified in the table.
|
Example of grading calculation:
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Homework:
will be assigned on the web site, and it is due at the
beginning of each class period. Your homework should be neat, legibly written, and problems should
be clearly labeled. You should leave some space on each page for comments.
You can work together on assignments, but the work you
turn in should reflect your personal effort and understanding, i.e. direct copying from
any source, such as other students or internet, is
not permitted. In some cases, the homework may include material that is not covered in
the lectures.
Quizzes:
the quizzes will be given as necessary. They may cover
definitions, statements, and typical problems that are needed to understand
the material.
Policy on late homework and missed quizzes:
Late homework will not be accepted.
No make-up or early quizzes will be given.
Instead, the 2 lowest homework scores and the 2 lowest quiz scores will be dropped.
To have a third quiz (or more) dropped will require acceptable written justification for having missed all quizzes.
Missed quizzes earn a score of 0.
Students who are forced to miss class for an extended period should contact me as soon as possible.
Exam make-up policy:
If you have an official university absence that happens to fall on an exam date,
you must notify me in advance to schedule a make-up.
In the case of illness on an exam date, contact me as soon as you know that you will be unable to take the exam.
A student that misses an exam without prior notification and acceptable justification will receive a 0 on the exam.
Additional work for graduate students policy:
Graduate students will be given additional homework problems weekly.
Graduate students will also have additional problems on the final exam.
Attendance Policy: The university attendance policy states that regular and punctual class attendance is essential and that no assigned work is excused because of absence, no matter what the cause. Please notify me as soon as possible if you have to miss a class due to an Official University Absence, documented illness, or family emergency, so that I can make arrangements for you to make up your work. The last day to withdraw from the class is Friday, November 9. The last day to select P/NC is Monday, November 12.
Statement of Disability Services at TCU Texas Christian University complies with the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973 regarding students with disabilities. Eligible students seeking accommodations should contact the Coordinator of Student Disabilities Services in the Center for Academic Services located in Sadler Hall, 1010. Accommodations are not retroactive, therefore, students should contact the Coordinator as soon as possible in the term for which they are seeking accommodations. Further information can be obtained from the Center for Academic Services, TCU Box 297710, Fort Worth, TX 76129, or at (817) 257-6567.
Adequate time must be allowed to arrange accommodations and accommodations are not retroactive; therefore, students should contact the Coordinator as soon as possible in the academic term for which they are seeking accommodations. Each eligible student is responsible for presenting relevant, verifiable, professional documentation and/or assessment reports to the Coordinator. Guidelines for documentation may be found at http://www.acs.tcu.edu/disability documentation.asp.
Students with emergency medical information or needing special arrangements in case a building must be evacuated should discuss this information with their instructor/professor as soon as possible.
Academic Misconduct (copied from the Student Handbook): Any act that violates the academic integrity of the institution is considered academic misconduct. The procedures used to resolve suspected acts of academic misconduct are available in the offices of Academic Deans and the Office of Campus Life. Specific examples and more details are in the Student Handbook.
Additional help: The Math Department also organizes the TCU Math Clinic, with free drop-in tutoring for undergraduate math classes. See http://mathematics.tcu.edu/current-undergraduate-students/tcu-math-clinic/ for more information and hours.