Dept. of Math. Sciences
ELIZABETHTOWN COLLEGE
Schedule and office hours
                                                                      
Instructor: Bogdan Doytchinov
Office:E384C
phone: (717)361-1224
e-mail: doytchinovb@etown.edu

MA421 REAL ANALYSIS

Classes meet Mo, We, Fr 8:00-9:20am in E 382

COURSE GOALS and COVERAGE

The Real Analysis course has the purpose to give a rigorous presentation of the important concepts of the classical real analysis, including basic set theory, sequences of real numbers, elementary topology of the real line, limits and continuity, differentiation and Reimann-Stieltjes integration. The course will cover most of the material in chapters 1 to 9 of the textbook, omitting some sections. For a detailed list of topics, see the schedule on the last page of the syllabus.

PREREQUISITES

MA201 Linear Algebra, MA222 Calculus III, MA235Introduction to Mathematical Proofs.

TEXT


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Thomson, Bruckner, Bruckner, Elementary Real Analysis, Second Edition (2008), ISBN 0-13-019075-6.

Remark: Do not be deceived by the title of the book. This is not an elementary reading, but a serious and very advanced text.

As V.A.Zorich puts it, Classical Analysis, like classical music, will have many performers, each of them emotionally attracted to one or another part of it; each of them offering a different interpretation.

There are many other excellent textbooks in Real Analysis at the undergraduate level. Below is a short list of a few more classical textbooks. They all tell the same story, but they all view it from slightly different angles and offer slightly different presentations.

You are not required to read these extra books for this course, but doing so will expand your view of the subject.

CALCULATORS

Calculators of any sort are neither needed nor allowed in this course. No electronic devices of any sort (calculators, mp3 players, tablets, phones) are to be used on tests and exams. Cell phones must be turned off or on vibration and put away.

STUDENT LEARNING OUTCOMES

By the end of the semester you will be able to:

ASSESSMENT

Your final grade for the course will be based on thedegree of mastery of the learning outcomes listed above, as measured by performance in class, on homework, tests, and the final exam.

LECTURES

This is a 4-credit course.This means that you are expected to spend 12 hours per week on it. Of these, you will be spending 4 hours per week in class: three lectures, 80 minutes each. The other 8 hours must be devoted to studying on your own: reading the book, reading and organizing your notes, writing homework, solving additional problems.

You are expected to attend all lectures. If you miss a class, it is your responsibility to make a copy of the classnotes from another student and make sure you learn what you have missed. Excessive absences may hurt your grade.

You should come to class prepared to discuss homework, ask questions, and share solutions. Homework will be discussed briefly in class. If all your questions are not addressed during this time, do not hesitate to seek additional help (e.g. office hours).

HOMEWORK

Homework will be assigned after each lecture, and will be due at the beginning of the following lecture. You are encouraged to discuss homework problems with each other, but not to copy them from each other. The final write-up must be your own. All homework will be collected and graded. Homework accounts for 20% of your grade.

The problems on the tests and the final exam will be similar to the ones discussed in class or assigned as homework. Discipline yourself to write clear readable notes and solutions, they will be of great value as review.

Of course, the assigned problems should be considered to be a minimum. You should solve more problems, especially if you don't feel quite comfortable with any section.

GRADING POLICY

There will be three in-class tests, on the following dates (tentatively):
Friday, September 21
Monday, October 22
Monday, November 19

Each test is timed and will take 80 minutes. This time limit will be strictly enforced.

There will be a comprehensive final exam on Monday, December 10, 2018, 7:30 to 10:30 am. Get a good night's sleep before the exam! Note that this date and time have been set by the registrar's office and cannot be changed. Make your travel plans accordingly.

All exams and tests are closed-book. No books or notes of any sort are allowed. No electronic devices. No calculators!

Absence on any occasion of evaluation (tests and exams) will result in a grade of zero for that evaluation. The only exceptions will be prior approval and written documentation. If some unavoidable circumstance comes up that will prevent you from taking an exam or test as scheduled, you must talk to me about this personally (face to face or on the telephone) and in advance.

FINAL GRADE

Your final grade will be calculated in the following way:
50% of the grade come from the three Tests, (10% the lowest, the others 20% each),
30% of the grade come from the Final Exam,
20% of the grade come from the Homework.

These scores are combined to give a final number of points, between 0 and 100. Point ranges for the final grades are:
A 93-100 B- 80-82.9 D+ 67-69.9
A- 90-92.9 C+ 77-79.9 D 63-66.9
B+ 87-89.9 C 73-76.9 D- 60-62.9
B 83-86.9 C- 70-72.9 F 0-59.9

SCHOOL CLOSURE POLICY

Occasionally, the college is closed and classes are cancelled due to inclement weather or other emergency situations. To minimize the negative impact of such disruptions on your learning, the following School Closure Policy will be in effect for this course. In case of school closure, an alternative form of the lecture will be provided (voice-over slides, instructional video, additional assigned reading, or a combination of these), and you will still need to complete and turn in the homework assignment. Concrete details will be communicated to you at the time of the closure announcement. In case the closure falls on an exam day, an alternative date and time for the exam will be announced.

STATEMENT ON RELIGIOUS OBSERVANCES

The College is willing to accommodate individual religious beliefs and practices. It is your responsibility to meet with the class instructor in advance to request accommodation related to your religious observances that may conflict with this class, and to make appropriate plans to make up any missed work.

INTEGRITY

All work you submit for grading must be your own and must comply with the Standards of Academic Integrity set forth in the Elizabethtown College Catalog. In particular, no collaboration on tests or exams is allowed.

DISABILITIES

Elizabethtown College welcomes otherwise qualified students with disabilities to participate in all of its courses, programs, services, and activities. If you have a documented disability and would like to request accommodations in order to access course material, activities, or requirements, please contact the Director of Disability Services, Lynne Davies, by phone (717-361-1227) or e-mail daviesl@etown.edu.

If your documentation meets the college’s documentation guidelines, you will be given a letter from Disability Services for each of your professors. Students experiencing certain documented temporary conditions, such as post-concussive symptoms, may also qualify for temporary academic accommodations and adjustments.

As early as possible in the semester, set up an appointment to meet with me, the instructor, to discuss the academic adjustments specified in your accommodations letter as they pertain to my class.


MA421 Real Analysis, Fall 2018
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last updated 08/20/2018