Course Syllabus for Math 400
 

                                                         VIRGINIA STATE UNIVERSITY
                                SCHOOL OF AGRICULTURE, SCIENCE AND TECHNOLOGY
                                                      DEPARTMENT OF MATHEMATICS
                                    MATH 400 - ADVANCED CALCULUS I - 3 sem. hours

                                                       COURSE SYLLABUS: SPRING 2000
 
 

COURSE DESCRIPTION:

Sets and functions, Series and sequences for real numbers, limits and continuity on metric spaces, Differentiation, Proofs.
 

COURSE TEXT:

Introduction to Analysis, 5th edition, by Edward D. Gaughan, Brooks/ Cole, 1998.

Topics to be covered: Most of the topics of Chapter 0 - 4 and 6 from the text.
 

GRADING STANDARDS:

The following components will determine the final grade.

1. Home Assignments - At the end of each topic 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 200 points.

2. Tests - Four 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. You can expect one test every three week.

3.  Mid-term Examination -  100 points.

4.  Final Examination - 200 points.

5.  Research Paper: (For graduate students only) - 100 points.

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

                                                                                           Points
                                                       Tests                              400
                                                       Home Assignments         200
                                                       Mid-term                       100
                                                       Project                           100
                                                       Final                               200

Letter Grade:
                                       A  -   [90, 100]
                                       B  -   [80, 89]
                                       C  -   [70, 79]
                                       D  -   [60, 69]
                                       F   -   [0, 59]
 
 
 

Bibliography:

1.  Advanced Calculus, A course in Mathematical Analysis, Patrick M. Fitzpatrick, PWS Publishing Company, Bostan, Ma.

2.  Introductory Analysis - The Theory of Calculus, Friday, J. A, Harcourt Brace Jovanovich, Inc , New York , NY.

3. Advanced Calculus, Wilfred Kaplan, Fourth Edition, Addison Wesley Publishing Company, Reading, Massachusetts

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

5. Analysis With An Introduction to Proof,  Steven R. Lay, Prentice Hall,    Englewood, New Jersey.

6.  How to read and Do Proofs, Daniel Solow, John Wiley & Sons,  New York, N.Y

7. Analysis With an Introduction to Proof by Steven R. Lay; Prentice Hall, Englewood Cliffs, New Jersey.

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

9. Advanced Calculus, An Introduction to Analysis, Watson Fulks,  John Wiley and Sons, New York.

10. A Course in Real Analysis, John N. McDonald and Neil A. Weiss, Academic Press, San Diego.