| Real Analysis I (335-49-101) | Instructor: Ash, J.M. | ||||
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Homepage:
http://www.depaul.edu/~mash/ E-mail: mash@math.depaul.edu Phone(s): (773)325-4216 Fax: (773)325-7807 Office: 519 SAC Office Hours: TTH 8:35 - 10:05, also by appointment |
MAT 152 (or 162 or 172) and MAT 215 (or MAT 141). Prerequisites are strictly enforced by the Math Department. A prerequisite can only be waived by the approval of the instructor and the department chair.
'Elementary Analysis: The Theory of Calculus' by Kenneth A. Ross, (Springer-Verlag).
The set of natural numbers, rational numbers and real numbers; the completeness axiom; the symbols for plus infinity and minus infinity; limits of sequences; a discussion about proofs; limit theorems for sequences; monotone sequences and Cauchy sequences; subsequences; lim sup's and lim inf's; series; alternating series and integral tests; decimal expansions of real numbers; continuous functions and their properties. These topics constitute sections 1-5, 7-12, and 14-18 of the text.
Midterm and final exams, in class and closed book will count equally in determining a preliminary grade. Homework will be assigned each class day, discussed the next class day, collected the next class day and will increase or decrease the preliminary grade by at most one grade. For example, B+ and satisfactory homework = A-. Make-up exams will not be given. The midterm will be in class on October 18, 2005. The final exam will be from 11:45-2:00 on Wednesday November 23, 2005.
Classroom lecture and discussion
Students must abstain from any violations of academic integrity and set examples for each other by assuming full responsibility for their academic and personal development, including informing themselves about and following the university's academic policy. Violations of academic integrity include but are not limited to the following categories: cheating; plagiarism; fabrication; falsification or sabotage of research data; destruction or misuse of the university's academic resources; alteration or falsification of academic records; and academic misconduct. Conduct that is punishable under the Academic Integrity Policy could result in additional disciplinary actions by other university officials and possible civil or criminal prosecution. To review the complete Academic Integrity Policy of the University, please go to http://www.depaul.edu/~handbook/code17.html .