Math 341 - Fall 2018

Introduction to Analysis I

Math 341 Syllabus

Classroom: 135 TMCB

Time: 1:00-1:50 am MWF

Instructor: Dr. David Cardon, 326 TMCB, 801-422-4863, cardon@mathematics.byu.edu

Teaching Assistant: Xueming Hui, xueminghui@mathematics.byu.edu

Office Hours: Both Dr. Cardon and Xueming Hui will hold office hours. See the schedule page.

Textbook: Understanding Analysis, 2nd Edition by Stephen Abbott.

Math 341 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.

Grading: Homework 40%
  3 Midterm Exams 50%
  Final Exam 10%
     
  93% will guarantee at least an A
  90% will guarantee at least an A-
  87% will guarantee at least a B+
  83% will guarantee at least a B
  80% will guarantee at least a B-
  77% will guarantee at least a C+
  73% will guarantee at least a C
  70% will guarantee at least a C-
  etc.  

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 in the classroom at the time scheduled by the University.

Reading Log: This will be question 0 on each homework assignments. See the "Schedule" page for details.

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. For a detailed list of learning objectives, see the Math 341 wiki page.

Class Preparation Time: "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 Undergraduate Catalog)

"The grade A means that the student's performance, achievement, and understanding were excellent in the portion of the subject covered in the class." (BYU Undergraduate Catalog)

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.

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

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. In most cases, it would be appropriate for you to write solutions in the style of a textbook example.

You are encouraged to work together while you study. You may discuss homework problems and how to solve them with each other. However, you may 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. (See Plagiarism and Academic Honesty on the policies page.)

Acknowledging Cooperation:  As mentioned previously, students are encouraged to study together.  If you worked with others to discuss how to solve a problem, please mention the names of the other students on your homework assignment to properly give credit.  The is no penalty for doing this, but there could be a penalty for not giving proper acknowledgement. Similarly, if you find a solution to a homework problem in another textbook or online, you must write the solution in your own words, understand everything you write, and provide a proper citation to the source that gave you help.

Homework Format:

  • Write neatly, or type with computer using LaTeX.
  • Use standard size paper.
  • Write on the front side only.
  • Write your name, assignment number, and date at the top of the first page.
  • Clearly label each exercise, and include each exercise in the correct order.
  • No ragged edges.
  • Staple multiple pages.
  • Include the following information on the first page of your assigment:
    • Name
    • Assignment number
    • Section number and list of exercises
    • Date

Late Homework and dropped scores:  Homework is due at the beginning of class. Late homework will not be accepted, except that you may turn in three 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 be dropped at the end of the semester. This accommodates for illness or other reasons that might prevent you from completing an assignment on time. If you have the flu, arrange for someone to turn in the assignment and don't come to class. (There are a few official exceptions: for official BYU events, weddings, funerals, hospitalization, job interviews, or giving talks at conferences please talk to Dr. Cardon.)

Solution Manuals and Outside Sources:  The use of an instructor solution manual from either the 1st or 2nd edition of the textbook for this class is not permitted at all. If you find a source such as an internet forum or different textbook that helps you solve a problem, after your solution you should acknowledge the source.  For example, you might write something like, "I found a solution to this exercise at (insert reference or web address here)" or "Example 3.17 in the book (insert name of book) gave me an idea that helped me solve this exercise."  You must still write the solution in your own words and you must understand everything you write.

Classroom Etiquette: Out of respect for others in the class, please silence you phone and avoid any use of electronic devices in ways unrelated to this class. Avoid any behavior that might distract another class member from paying attention during lectures or discussion.  Alway speak respectfully to other class members.

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.

Making video or audio recordings during class is strictly forbidden. However, if there is a whiteboard with a complicated proof or calculation, it is okay to take a still photo of the board, but you must take care not to disturb the class while you take the photo and you should limit the number of photos you take.