Calculus I: MA 2310, Fall 2000


Office: Academic Village B 342, (516) 867-3131; Fax 632-7631
Email: myonghi@math.sunysb.edu

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Syllabus

 

SUNY College at Old Westbury

MA2310, Fall 2000

Calculus and Analytic Geometry I,

Section 3, MW 9:00 -10:40
 

Instructor: Dr. Myong-Hi Kim

Text: Calculus, Volume I, 6th Edition, by Howard Anton, John Wiley & Sons, INC

Calculator: Graphing calculator such as TI83, TI85.
 

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:
 

2 Midterm Exams 

20 % 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.
 
 
 
 
 
 
 
 
 

Section

Topics

Homework 

Chapter 1

Functions

 

1.1

Functions and the Analysis of Graphical Information

3,5,6,7

1.2

Properties of Function

1,2,3,7,13

1.3

Graphing Functions on Calculators and Computers

1

1.4

New Functions from Old

1,3,5,7,31,33,34,39,41,59,61,63,75

1.5

Mathematical Models; Linear Models

3,5,6,10,15,17,20,21,23ab,23,33,,34,35,39

1.6

Families of Functions

1,7,11,29,31,33,35,39,43,45

1.7

Parametric Equations 

1,3,13

Chapter 2

Limits and Continuity

 

2.1

Limits (An Intuitive Introduction)

1,2,3,5,7,11,17,21

2.2

Limits (Computational Techniques)

1ah,5,7,13,19,27,35,39, 3,Odd (9-41) ,51,53,57,61

2.4

Continuity

1,2,4,11,13,14,17,21,28

2.5

Limits and Continuity of Trigonometric Functions

1,2,3,9,13,17,24,29,35

Chapter 3

The Derivative

 

3.1

Tangent Lines and Rates of Change

1,2,3,5,7,9,10,18,20

3.2

The Derivative

9,15,25

3.3

Techniques of Differentiation

Odd(1-15),19,21,23,25,29,31,41,43a,45,47

3.4

Derivatives of Trigonometric Functions

1,3,5,9,15,7,11,13,24,37,27

3.5

The Chain Rule

1,3,5,6,9,19,Odd(11-17),23,29,33,35,45,49

3.6

Local Linear Approximation; Differentials Horizon Module

1,5,7

Chapter 4

Logarithmic and Exponential Functions

 

4.1

Inverse Functions

1,3,5ace,13,15

4.2

Logarithmic and Exponential Functions

1,3,5,9,13,17,11,15,19,21,33,35

4.3

Implicit Differentiation

1,5,9,11,13,15,Odd(17-21)

4.4

Derivatives of Logarithmic and Exponential Functions

1,5,13,19,21,23,25,27,29

4.5

Derivatives of Inverse Trigonometric Functions

1,2,3,5,13,21,23,25,27

4.6

Related Rates

1,9,Odd(3-7)

4.7

L'Hospital's Rule; Indeterminate Forms 

1,2,3,15,19

Chapter 5

Analysis of Functions and Their Graphs

 

5.1

Analysis of Functions I: Increase, Decrease, and Concavity

Odd(9-23)

5.2

Analysis of Functions II: Relative Extrema; First and Second Derivative Test

Odd(3-11), Odd(21-31)

Chapter 6

Applications of the Derivatives

 

6.1

Absolute Maxima and Minima

Odd(5-11), Odd(15-21)

6.2

Applied Maximum and Minimum Problems

1,3,5,Odd(9-21)

6.3 

Rectilinear Motion (Motion Along a Line)

1,2,3,4, 11-16

6.5

Rolle's Theorem; Mean Value Theorem

 

Chapter 7

Integration

 

7.1

An Overview of the Area Problem

1,3,5,7,9

7.2

The Indefinite Integral; Integral Curves and Directional Fields

Odd(1-33),39

7.3

Integration by Substitution 

Odd(1-31), Odd(41-47),51

7.4

Sigma Notation

Odd(1-9),15,23,25

7.5

The Definite Integral

3,5,17,23,25

7.6

The Fundamental Theorem of Calculus

Odd(3-23)