Southern Arkansas University

School of Science and Technology

Course

Syllabus

Term

 

Fall 2003

 

 

 

 

Course Number and Title:               Principles of Analysis, Math 3083

 

 

Instructor Information:               Instructor:        Paul L. Bailey

Office: Wilson 228

Office Phone: 235-4294

Email: plbailey@saumag.edu

Office Hours: MTWRF 11 am – 12 noon

MWF 1 pm – 2 pm

 

 

Mission Statement:            It is the mission of the School of Science and Technology, in accordance with the mission of Southern Arkansas University, to educate students in the basic and applied natural sciences, mathematics, computer science, agriculture, and nursing to prepare them to enter industrial, governmental, and professional careers as well as advanced degree studies.  

 

 

Course Description:            An introductory course in mathematical analysis consisting of a study of the real number system, functions, metric sets, limits, and continuity.  Emphasis on the theoretical aspects of mathematical analysis.

 

We present the theory of differential and integral calculus, including the construction of the real numbers and the study of their structure as a complete ordered field.

 

 

Textbook:                                           Introduction to Analysis, 5th edition

                                                            Edward D. Gaughan

 

 

 

Grading Policy:            Problem Set 1:                        20 %

                                                            Problem Set 2:              20 %

                                                            Midterm Exam: 20 %               

                                                            Final Exam:                   40 %

 

 

Academic Integrity: The University's policy on academic integrity, as stated in the Course Catalog, will be enforced in this course.  Any evidence of academic dishonesty will not be tolerated.

 

 

Disability Support Services:             It is the policy of Southern Arkansas University to accommodate students with disabilities, pursuant to federal law, state law, and the University’s commitment to equal educational opportunities.  Any student with a disability who needs accommodation should inform the instructor at the beginning of the course.  Students with disabilities are also encouraged to contact the Office of Disability Support Services, which is located in Nelson Hall, room 203, telephone 235-4145.

 

 

Course Outline: Week 1: Sets, Functions, Relations

Week 2: Naturals, Integers, Rationals

Week 3: Reals (Dedekin Cuts)

Week 4: Openness

Week 5: Sequences

Week 6: Limits

Week 7: Continuity

Week 8: Midterm

Week 9: Compactness

Week 10: Differentiation

Week 11: Integration

Week 12: Series

Week 13: Analytic Functions

Week 14: Thanksgiving

Week 15: Sequences of Functions

 

 

Dates:                                                 Midterm Exam: Thu Oct 16       8am – 9:30am

Final Exam: Thu Dec 11 8am – 10 am