Course Syllabus for Math 530
 

                                                        VIRGINIA STATE UNIVERSITY
                            SCHOOL OF AGRICULTURE, SCIENCE AND TECHNOLOGY
                                                   DEPARTMENT OF MATHEMATICS
                                        MATH 530 - FUNCTIONS OF REAL VARIABLES
                                                                  (3 Sem. Hrs)

                                                 COURSE SYLLABUS: FALL 2001
 

COURSE DESCRIPTION:

Review of the Riemann Integral, Set Theory, The Real Number System, Lebesque Measure, The Lebesque Integral, The Classical Banach Spaces.

Prerequisite: MATH 401

COURSE TEXT:

Real Analysis, 3rd edition, H. L. Royden, Englewood Cliffs, NJ, Prentice Hall, 1988.
 

COURSE REQUIREMENTS:

 University policies concerning class attendance, grading, academic honesty, and classroom decorum/conduct  as listed in the VSU Undergraduate Catalog (1995-98, edition) and Faculty Handbook, 1995 edition will be observed. A copy of these policies is attached with this course syllabus.

Inform the teacher (in private) if you are covered by the American Disability Act, so that appropriate instructional arrangements can be made.
 

GRADING STANDARDS:

The following components will determine the final grade.

1. Home Assignments - During each class period you will be assigned some problems from the textbook or from some other source.  Sometimes  the assignment will be collected and graded and other times one or two problems from the assignment will be chosen and student  will be asked to do it in class.  Total score from all home assignments will be 100 points.

2. Tests - Two one-hour tests. Each test will be worth 100 points.  Test will be   comprised of questions discussed in class, home assignments, solved examples in the  text, and any other assigned problems.  Tests will be announced in advanced.

3.  Mid-term Examination -  100 points.

4.  Final Examination - 200 points.

Numerical Scores.  The following numerical scores will be assigned to each  components in the grade determination process.
                              Points

Tests                          200
Home Assignments    100
Mid-term                   100
Final                          200
                                  600

Letter Grade:   A:  90  - 100
                        B: 80 -  89
                        C: 70 - 79
                        D: 60 - 69
                        F: Below 60
 

Bibliography:

1. Berberian, Sterling, K. Measure and Integration , New York, The McMillian    Company, 1965

2.  Bilodeau, Gerald G and Thie, Paul R. An Introduction to Analysis, New York,    McGraw Hill Book Company, 1997.

3.  Goldberg, Richard, R. Methods of Real Analysis  ,  New York, NY,  John Wiley   &  Sons, Inc., 1976.

4. Lay, Steven R. Analysis With An Introduction to Proof,  Englewood, NJ, Prentice   Hall,1990

5.  Rudin, Walter. Principles of Mathematical Analysis,  New York, McGraw Hill    Book Company, 1964.

6.  Solow, Daniel. How to Read and Do Proofs, New York, NY, John Wiley & Sons,    1990

7.  Strichartz, Robert S. The Way of Analysis, Boston, Ma., Jones and Barlett     Publishers, 1995