Math 301: Introduction to Mathematical Analysis I
Spring 2010
MW 2:30 - 4:20, SOND 208


Instructor:
Andrei Draganescu
Office: MP420
Phone: 410-455-3237
Email: draga@math.umbc.edu
Website: http://www.math.umbc.edu/~draga/courses/2010/Spr/math301

Office hours:
MW 10 - 11, or by appointment.


Prerequisites:
MATH 142 or 152, Math 221; CMSC 203 is highly recommended.


Text:
Introduction to Real Analysis, by Bartle and Sherbert, 3rd edition, John Wiley & Sons, 2000.


Course objectives:
The main goal of this course is to introduce students to rigorous mathematical reasoning and to apply this knowledge to the analysis of functions of one real variable. Although the object of study is essentially the same as in Calculus (sequences, function continuity and differentiability), the emphasis is placed here on proving results rather than on computations. Since the ability of solving problems in analysis is almost synonymous with that of presenting them, writing will be a critical component. At the same time the material in this course serves as a basis for most of the upper-level mathematics courses, as the notions we will study are central to virtually all areas of mathematics.


Content:
We will start by introducing specific language (logic, sets, proofs, induction) as shown in parts of Chapter 1 and Appendices A and B. Then we will study in order Chapters 2 through 6 (perhaps skipping some sections). If time allows we may glimpse into several other sections of the text. A tentative schedule will be posted here, and will be continously updated.


Homework, quizzes, and tests:


Grading policy:
Homework and quizzes - 20%, Test 1 - 25%, Test 2 - 25%, Final Exam - 30%

Score above 90% 80% 65% 50 % otherwise
Letter grade A B C D F


UMBC Academic Integrity Policy:
By enrolling in this course, each student assumes the responsibilities of an active participant in UMBC's scholarly community in which everyone's academic work and behavior are held to the highest standards of honesty. Cheating, fabrication, plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and they are wrong. Academic misconduct could result in disciplinary action that may include, but is not limited to, suspension or dismissal. To read the full Student Academic Conduct Policy, consult the UMBC Student Handbook, the Faculty Handbook, the UMBC Integrity webpage www.umbc.edu/integrity, or the Graduate School website www.umbc.edu/gradschool.



Andrei Draganescu, February 25, 2010