MAT320 – Introduction to Real Analysis
Section A – TR 11:00 – 12:15 XXYYY
University of Sioux Falls
Fall 2006
Instructor: Shawn Chiappetta
Office: Science Center 115 Office Hours: MWF 10:00-12:00pm
Phone: (605) 575-2081 (office) T 9:00-11:00am
(605) 332-7507 (home) and by Appointment.
E-mail: shawn chiappetta (campus)
shawn.chiappetta@usiouxfalls.edu (off campus)
Web Page: http://www.usiouxfalls.edu/~sjc
Text: Introduction to Real Analysis, 3rd ed.; Bartle and Sherbert
Course Description: An introduction to real analysis, including the real number system, infinite series, the derivative and Reimann integrals.
Prerequisites: MAT205 – Calculus II or approval from the instructor.
Course Objectives: Upon successful completion of this course, the student should be able to:
1. apply the basics of logic and the standard methods of mathematical proof;
2. recognize and use the elementary notions and notations of set theory;
3. define, give examples and counter-examples of relations, especially of equivalence relations;
4. define and use the basic properties of functions, operations on functions and induced set functions;
5. identify and use the properties of the real number system.
Course Grades: Grades will be based on exams, homework, reviews, and labs. They will be broken down into the following values:
Exams 2 @20% ea 40%
Homework/Project 35%
Final Exam Monday 12/18 @10:30 am 25%
Exams will be given on the following days:
Grades will be determined according to the standard grading scale: 100 – 90 = A, 89 – 80 = B, 79 – 70 = C, 69 - 60 = D and 59 – 0 = F. Distribution of pluses and minuses will be made at the end of the semester.
Individual exceptions to this grading policy are left solely to the discretion of the instructor and as a general rule, will not be made.
Late Work: Small classes of upper-classmen mean I’m a little more understanding of homework, but you should also understand I expect more responsibility out of you than a first year student. It is not wise to get behind with the material in this course. Getting too far behind will definitely put you at a disadvantange and will be a struggle to catch up. Tests are another matter. I do NOT want to give make up exams. If a situation arises that precludes you from taking the exam on the stated day, a time PRIOR to the exam may be set up to take the exam. These again are not given on an everyday pass, but rather for those instances that have put us in a bind.
Homework: The following rules will be adhered to in regards to turning in homework.
Many people have come to the conclusion that the “right” answer is what mathematics is about. This is only PARTIALLY correct. As a student it is very important to know how that answer was obtained. To that end, each homework problem must have the actually problem, clear steps and explanation of steps and the answer must have the appropriate units and labeled clearly. This statement has been on my syllabuses for a while now and it is a direct result of this class. You will be “writing” math proofs (much like Abstract/Geometry) and at times your work will look like paragraphs instead of math. This course more than any other math course should have you doing “drafts” of your work!!!
Each homework problem will be graded using the following rubric.
4 pts – Perfect solution. Steps clear and logical. No errors.
3 pts – Problem has minor flaws. Usually minor errors in arithmetic.
2 pts – Correct ideas, but poor execution. Little or no explanation.
1 pts – Only answer and no steps. Tried something, but wrong.
0 pts – Did not attempt problem.
Attendance Policy: Regular attendance and participation is expected. You may read USF’s policy at www.usiouxfalls.edu/stuserv/attendancepolicy.htm.
Academic Honesty Statement: We encourage you to collaborate and assist each other. However, that assistance should be a knowledge exchange, not the replication of the work of another. Plagiarism (with or without the permission of the originator) defeats the learning process and jeopardizes your success in the course. Copying homework and/or exams of another is dishonest and a violation of the ethical standards of USF (www.usiouxfalls.edu/stuserv/misconduct.htm). Allowing your work to be copied by another is equally a violation. All students who observe an incident of cheating have an obligation to confidentially report such to the instructor.
Disability Services Statement: (Text supplied by USF) The University of Sioux Falls is committed to providing reasonable accommodation for students with physical, learning, and/or other types of disabilities. Accommodations for students with disabilities are made only in consultation with the Director of Disability Services. If you believe you have a disability requiring accommodation in this or any course, please contact Mr. Mark Patterson, Director of Career and Disability Services. Mr. Patterson will work with you to secure proper documentation and to help you arrange appropriate accommodations with your instructors. Mr. Patterson’s office is located on the 2nd floor of Glidden Hall. His phone number is 331-6740.
Status of Syllabus: This syllabus results from the instructor’s effort to represent fairly the plan for this course. Circumstances may cause the instructor to make changes in the plan, but such changes will not be without reason and will be made in a timely fashion. Please speak with your instructor if there is anything in the syllabus about which you are unclear.