Math 341  - Fall 2009

Text:

Understanding Analysis by Stephen Abbott (ISBN: 0-387-95060-5). (corrections to typos)

Prerequisites:

A good understanding of first year calculus (Math 112 and 113) and Math 290.

Math 341 Description:

Rigorous treatment of calculus of a single real variable: topology, order, completeness of the real numbers; continuity, differentiability, integrability, and convergence of functions.

Midterm Exams:

The midterm exams will be in the Testing Center on the days indicated in the schedule. The midterm exams will be untimed and closed book.

Final Exam:

The final exam will be at 11:00 a.m. - 2:00 p.m. in the classroom on Monday, December 14. It will be comprehensive, but it will emphasize the material covered since the last midterm exam.

Course Objectives:

There are two main objectives of the course. The first is to obtain a thorough understanding of the real number system and of calculus of a single real variable. The second is to learn to express the ideas studied in the course clearly in written form.

Homework:

Homework will be collected on most days that the class meets. It is due at the beginning of class on the day indicated on the schedule. Consistent, diligent completion of homework assignments is essential to success in the course.

As one of the main objectives is to communicate mathematical ideas clearly, your homework assignments should be well written. You should write with complete sentences using correct spelling and punctuation, just as you would when writing an essay for an English or history course. Usually solutions should include verbal descriptions in addition to mathematical calculations. You should include enough detail that you would be able to understand your work six months later. Not only is it important to arrive at a correct answer, but it is also important to clearly explain the reasoning used to arrive at the conclusion. Your explanations should be clear enough that a typical classmate could easily understand your work.

Please write neatly and list the clearly labeled exercises in order. Staple multiple sheets. Use standard sized 8.5'' by 11'' paper. Write on the front side of the paper only. Do not use sheets torn from a spiral binder.

Students are responsible to read all of the relevant sections of the text as part of their studying.

You are encouraged to work together while you study. You may discuss homework problems and how to solve them with each other. However, you should not copy each other's solutions. You should write your solutions in your own words. If your solution and your friends solution to a lengthy exercise are worded nearly identically, then you are not working independently enough.

Late Homework:

Homework is due at the beginning of class. Late homework will not be accepted, except that you may turn in four assignments late (within two class periods) without penalty. Please attach a Late Coupon to assist the grader in keeping track of late assignments. Also, the lowest three homework scores will not figure into your average at the end of the semester. This accommodates for illness or other reasons that might prevent you from completing an assignment on time.

Work Load:

"The expectation for undergraduate courses is three hours of work per week per credit hour for the average student who is appropriately prepared; much more time may be required to achieve excellence." (BYU 2007-2008 Undergraduate Catalog, Page 57)

According to the catalog (page 59), "the grade A means that the student's performance, achievement, and understanding were excellent in the portion of the subject covered in the class."

Classroom Etiquette:

Out of respect for others in the class, please do not permit your cell phone to ring, do not send or read text messages, do not read the newspaper, do not use earphones, do not view internet pages, do not use electronic devices in ways unrelated to this class.

Having small children in class is often a distraction that degrades the educational experience for the entire class. Please make other arrangements for child care rather than bringing children to class with you. If there are extenuating circumstances, please talk with your instructor in advance.