Advance Calculus: MA 5320, Fall 2000


Office: Academic Village B 342, (516) 867-3131; Fax 632-7631
Email: myonghi@math.sunysb.eduhttp://www.math.sunysb.edu/~myonghi/OW/Y2000/M5320

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Syllabus MA 5320

SUNY College at Old Westbury

MA5320 , Fall 2000

Advanced Calculus
 
 
 
 

Instructor: Dr. Myong-Hi Kim

Text: Advanced Calculus, 3rd Edition, by R. Creighton Buck, McGraw-Hill, INC

Prerequisite: MA 3320 Calculus III and MA 3160 Linear Algebra
 

Office Hours

Office

Tel.

email

Web page

MW 1-2:30

MW 4:30-5:00

B 342

876-3131

KimM@oldwestbury.edu

http://www.math.sunysb.edu/~myonghi/OW


 
 
 

Evaluation:
 

3 Midterm Exams 

15 % each

1 Cumulative Final Exam 

40 %

Quizzes and Homework

15 %

Class Participation and Attendance

10 %


 

Attendance: A record of attendance will be kept. Coming late or leaving early count as half of an absence. If you miss a class it is your responsibility to find out what material was covered in class, what the homework was and if any announcements have been made about the schedule of upcoming exams and quizzes.

Policy on NO makeup-exams: There will be no makeup exams. However, if you miss a midterm exam due to serious illness (documented) or serious family emergency (documented) then your score from the final tests will replace the portion of the missing midterm exam.
 
 
 
 

Schedule and Topics covered
 
 
 

Dates 

Tests

Material 

September (total 9 lectures)

Midterm 1: Sep. 25th

Chapter 1: Sets and Functions

Chapter 2: Continuity

October (total 8 lectures)

Midterm 2: 

Chapter 3: Differentiation

Chapter 4: Integration

November (total 9 lectures)

Midterm 3: Nov. 29

Chapter 5: Series

Chapter 6: Uniform Convergence

December (total 2 lectures)

Final: Dec. 13

Review 

Final Test: Cumulative

Homework Assignment and keywords
 

Section

Topics

Homework 

Chapter 1

Sets and Functions

 

1.1

Introduction 

1.2

n

R and R

6,7,10,21,23,

Show that Q is countable but R is not. 

4,5,9,13 

1.3

Distances

1,4,5,8,9,10,11,17

1.4

Functions

1,3,4,5,6,8,,13,15,16

1.5

Topological Terminology

1,2,5,6, 7, 8, 9,10,11, 13,14,17,19

1.6

Sequences

 

1.7

Consequences of th monotonic-sequence property