Advanced Calculus MA 5320

Fall 2002

Instructor: Dr. Myong-Hi Kim

 

Prerequisite:   Linear algebra (MA3610),

Calculus I, II, III (MA 2310, MA2320, MA3330)

 

Textbook:       1. A Bridge to Analysis by Daryl Geller: (Math. Dept. has free copies)

References:    1. Calculus by Howard Anton –Any edition you have

                        2. Advanced Calculus by Murray Spiegel, Schaum’s outlines

                        3. Advanced Calculus of Several Variables by C.H. Edwards, Jr.

 

Office:             A121, 

Office Hours: TuTh: 10:50-11:30, 4-5pm at MLC (A118). 

Contact:          email  kimm@oldwestbury.edu, Phone: 876-3338   , Message:876-3127

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

Remark:          A free copy of the textbook will be given to you. With the permission of the author, I have copied the textbook. We will use Maple software for both visualization and computation.  Several topics from Vector Calculus will be chosen to your taste and need.

 

Course Description:

This course is an introduction to analysis. Advanced Calculus is a bridge from elementary calculus to higher mathematical analysis. One of the main purposes of this course is to prove the theorems you are familiar from Calculus I, II and III.  We revisit Calculus with emphasis in both intuition and proofs.  Through the first three chapters of “A Bridge to Analysis”, we will learn to verbalize the proofs. 

 

Grading:

Final Exam.

35%

Two Midterms 20% each

Weekly quizzes/HW 20%,

Class participation 5%.

 

If you need help:  You can go to the Math Learning Center (A-118). It is open most of the time to help you. Remember that you are always welcomed in my office. I will be available during my office hours and most of Tuesdays, Thursdays when I am not teaching. But I will expect that you have read the section and tried the problems. 

 

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.

 

Policy on Absence: Every 3 absence will lower your grade by one letter grade. (A to A- for instance).  More than 9 absences will be considered to be withdrawn from the course.

 

 

 

 

 

 

 

 

 

Week

 

 

Home works

Sep. 3

 

G 1.1 -1.5

All exercise problems

Sep. 10

 

G 1.6 -1.7

All exercise problems

Sep. 17

 

G 2.1 -2.2

All exercise problems

Sep. 24

 

G 2.3 -2.4

All exercise problems

Oct. 1

 

G 3.1

All exercise problems

Oct. 8

 

Review , Midterm I

 

Oct. 15

 

Infinite Series, Anton Chapter 11

 

Oct. 22

 

Maple

 

Oct. 29

 

Anton Chapter 12

Analytic Geometry

 

Nov. 5

 

Analysis of Vector Calculus

 

Nov. 12

 

Analysis of Vector Calculus

 

Nov. 19

 

Analysis of Vector Calculus

 

Nov.  26

 

Midterm II

 

Dec. 3

 

Selected topics

 

Dec. 10

 

 Review

 

Dec. 17

 

Final Test