MAT 603                     Summer 15 MAT 603 Real Analysis and Concepts of Calulus
Instructor: Isa S. Jubran, PhD
Office: Moffett 128, Phone: Ext. 2968
WebPage: http://web.cortland.edu/jubrani
e-mail: jubrani@cortland.edu
Office Hours: 3:30-4:45 MW
Text: No textbook is required.

Course Objectives:

• Develop a deeper and rigorous understanding of the fundamental concepts of calculus, such as the real number system, continuity, differentiability and integration
• Learn to work in abstract and more generalized settings
• Enhance analytic thinking and proof writing skills

Course Outline:

• Real Numbers: Construction of real numbers (non-axiomatic approach) using Dedekind cuts, cardinality of sets, cardinality of real numbers
• Metric Spaces: Basic definitions and examples, open and closed sets, interior points, closure of a set, limit points of a set, convergence of sequences, complete metric spaces
• Continuity: Continuity in R, sequential criterion of continuity, uniform continuity, intermediate value theorem and its consequences
• Differentiation: Definition and examples, proof of algebraic and chain rule for differentiation, mean value theorem and its consequences

Quizzes: There will be 4 in-class quizzez. Further details will be provided in class.

Homework: Homework problems intended to test and deepen your understanding of the concepts presented in class will be assigned. These will be collected and graded. Sorry, no late homework will be accepted.

Tests: You will have one midterm and a Final Exam. The dates for these exams will be announced in class at least 3 days in advance. Please see me in advance if you have a conflict with any of these times and we will make appropriate arrangements.

Grading:Your grade will be determined as follows:

Homework	30%
Quizzez	20%
Midterm	25%
Final Exam	25%
Total	100%

Attendance Policy: Attendance is very important and shows that you value your education and take it seriously. By choosing to miss class without having a legitimate excuse to do so, you forfeit your right to seek my help with material discussed during your absence.

Honor Code You are encouraged to discuss the homework with others but be an active participant and do not let others think for you. On the other hand, exams are to be strictly your own work.

Disability Statement: SUNY Cortland is committed to upholding and maintaining all aspects of the federal Americans with Disabilities Act of 1990 (ADA) and Section 504 of the Rehabilitation Act of 1973. If you are a student with a disability and wish to request accommodations, please contact Disability Services located in Van Hoesen Hall, Room B-40, or call (607) 753-2066 for an appointment. Any information regarding your disability will remain confidential. Because many accommodations require early planning, requests for accommodations will be reviewed in a timely manner to determine their appropriateness to this setting.

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