MAA4224  Introduction to Analysis I
Fall 2016
Syllabus

Professor:   Dr. Eric Klassen, 114 Love Building, 644-2202, klassen@math.fsu.edu

Course Website:   http://www.math.fsu.edu/~klassen/IntroAnalysisI/index.html

Office Hours: Monday, Wednesday: 1:30-2:30 PM

Prerequisite: You must have completed MAC2313 (Calc III) and MAS3105 (Applied Linear Algebra I), both with a grade of C- or better. MGF3301 (Intro to Advanced Math) is also highly recommended.

Text: The required text is Understanding Analysis, by Stephen Abbott. I strongly suggest that you read each section of the text carefully before AND after the class period in which it is discussed. I myself will be working from the first edition of the book, even though a 2nd edition has recently become available. From what I understand, there is little difference between these two editions, except that the exercises have been changed! Thus, I would recommend that you buy the first edition if possible. If you get the 2nd edition, the exercises probably won't correspond to the numbers I assign.

Course Content: Chapters 1-5 of the text.

Course Objectives:  In Calc I, II, and III, you learned to solve many types of problems using calculus. In this course, we re-examine the basic notions of calculus (e.g., real numbers, functions, limits, and derivatives) from a more rigorous point of view, carefully stating definitions and axioms, and learning to understand and construct our own proofs. As a result, you may discover that these fundamental objects have much more subtlety, complexity, and beauty that you ever realized!

If you are planning to attend graduate school in mathematics, I would strongly recommend that you take Advanced Calculus I and II (MAA4226-4227) instead of this course, since Advanced Calculus moves at a faster pace, covers more material, and is specifically designed to prepare you for graduate level mathematics.

Tests:  There will be two tests and a final exam. The dates of the tests will be announced at least a week in advance.

Homework:  Homework will be assigned, collected, and graded approximately once a week. You should be sure to allow plenty of time for these problems. They will involve both proofs and examples. Please start the homework early, so that if you have trouble you can come to office hours. I don't mind if you collaborate on the HW, but each student must hand in his or her own solutions, and if someone helped you, you should acknowledge that on your HW.

Grading:  Your final grade will be computed as follows:
 
Test 1: 25%
Test 2: 25%
Homework Total: 15%
Final Exam (Friday, December 16, 10 AM - 12 Noon): 35%
Total: 100%
A 90-100
B 80-90
C 70-80
D 60-70
F 0-60

Final Examination: The Final Exam is on Friday, December 16, 10 AM - 12 Noon

Attendance/Makeup Policy: Please do not miss any class unless absolutely necessary.  If you miss a class period, you are still responsible for learning the material covered on the day you missed, and also for any work which was assigned on the day you missed.  If you miss a test or exam because of an unexcused absence, you will receive a 0 on that test or exam.  If you miss a test or exam because of an excused absence, I will allow you to make up the points by some method (possibly by increasing the value of your final exam), at my discretion. For an absence to be excused, you must either get my approval in advance or, in case of illness, bring me a note from a doctor specifically stating that you were too sick to attend class. (A note stating simply that you were seen that day by a doctor will not suffice.) Homework must be handed in on time. If it is late, I may not accept it at all, or at least I will penalize the grade on that homework.

Academic Honor Policy: The Florida State University Academic Honor Policy outlines the University's expectations for the integrity of students' academic work, the procedures for resolving alleged violations of those expectations, and the rights and responsibilities of students and faculty members throughout the process. Students are responsible for reading the Academic Honor Policy and for living up to their pledge to "... be honest and truthful and ... [to] strive for personal and institutional integrity at Florida State University." (Florida State University Academic Honor Policy, found at http://dof.fsu.edu/honorpolicy.htm.) If I catch anyone cheating in any way, I will follow the procedures in the Honor Policy.  This situation has arisen in the past and, believe me, it's not worth the risk!

Americans With Disabilities Act:  Students with disabilities needing academic accommodation should: (1) register with and provide documentation to the Student Disability Resource Center; and (2) bring a letter to the instructor indicating the need for accommodation and what type. This should be done during the first week of class. This syllabus and other class materials are available in alternative format upon request. For more information about services available to FSU students with disabilities, contact the:

Student Disability Resource Center
874 Traditions Way
108 Student Services Building
Florida State University
Tallahassee, FL 32306-4167
(850) 644-9566 (voice)
(850) 644-8504 (TDD)
sdrc@admin.fsu.edu
http://www.disabilitycenter.fsu.edu/

The Faculty Senate has directed the faculty to add the following paragraph to all Syllabi:

University Attendance Policy: Excused absences include documented illness, deaths in the family and other documented crises, call to active military duty or jury duty, religious holy days, and official University activities. These absences will be accommodated in a way that does not arbitrarily penalize students who have a valid excuse. Consideration will also be given to students whose dependent children experience serious illness.