Instructor:
Andrei Draganescu
Office: MP420
Phone: 410-455-3237
Email: draga@math.umbc.edu
Website: http://www.math.umbc.edu/~draga/courses/2009/Spr/math301
Office hours:
MW 4 - 5 pm, 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 objects of study are 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 this course serves as a basis for most higher-level mathematics
courses you will take in the future, 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 and tests:
Grading policy:
Homework - 20%,
Quizzes - 15 %,
Test 1 - 20%,
Test 2 - 20%,
Final Exam - 25%
| Score above | 90% | 80% | 65% | 50 % | otherwise |
| Letter grade | A | B | C | D | F |