COURSE SYLLABUS

Course Number: MATH6200
Course Title: ANALYSIS I
Credit Hours: 3
Prerequisites: MATH3100 or analogous course subject to departmental approval.
Corequisite: 

Objectives:
To present rigorously the fundamental concepts underlying calculus. The student is to develop proving skills in real analysis and to acquire  competence in utilizing the relevant techniques in other areas.

Course Content:
Review of calculus. [3 days]
Number System, [3 days]
Completeness axioms of the reals, covering theorems [9 days] 
Sequences and series, review and extensions. [9 days]
Continuity and differentiation. [12 days]

Possible textbooks.  Textbooks are chosen by the instructor and may change from year to year. Following are appropriate textbooks which has been used in the past:
The Elements of Real Analysis, 2nd Ed., Robert G. Bartle, 1976, Wiley.
A first course in real analysis,} 2nd Ed., Murray H. Protter, Charles B. Morrey, Jr., 1991, Springer-Verlag.
Principles of Mathematical Analysis,} Walter Rudin, 1976, McGraw-Hill. 

Grading and Evaluation Procedures:
Quizzes, test, midterm-exam, final exam. Other methods of evaluation are used at the discretion of the instructor.

Statement related to policies on unannounced quizzes and class attendance and participation:
Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.