MATH 1120 Syllabus

CALCULUS

 

Text:  Calculus for the Managerial, Life and Social Sciences, (6th Edition)  by S. T. Tan

 

Lecture

Section(s)

             Topics *

1

1.1 - 1.4

Review of Chapter 1

2

2.1

Functions and their graphs

3

2.2

The Algebra of Functions

4

2.3

Functions and Mathematical Models

5

2.4

Limits

6

2.5

One-Sided Limits and Continuity

7

2.6

The Derivative

8

3.1

Basic Differentiation

9

3.2

The Product and Quotient Rules

10

3.3

The Chain Rule

11

3.3

The Chain Rule

12

3.4

Marginal Functions in Economics

13

3.5, (3.7)

Higher-Order Derivatives;  Differentials (optional)

14

 

Review

15

 

Test One

16

4.1

Increasing and Decreasing Functions

17

4.1

Increasing and Decreasing Functions

18

4.2

Concavity and Points of Inflection

19

4.2, 4.3

Concavity and Points of Inflection ;  Curve Sketching

20

4.3

Curve Sketching

21

4.4

Optimization I

22

4.5

Optimization II

23

4.5

Optimization II

24

5.1

Exponential Functions

25

5.2

Logarithmic Functions

26

5.2

Logarithmic Functions

27

5.3

Compound Interest

28

 

Review

29

 

Test Two

30

5.4

Differentiation of Exponential Functions

31

5.5

Differentiation of Exponential and Logarithmic Functions

32

5.6

Exponential Functions as Mathematical Models (skip Logistic Curve)

33

6.1

Antiderivatives and the Rules of Integration

34

6.1, 6.2

Antiderivatives and the Rules of Integration; Integration by Substitution

35

6.2

Integration by Substitution

36

6.3

Area and the Definite Integral

37

6.4

The Fundamental Theorem of Calculus

38

6.5

Evaluating Definite Integrals

39

6.6

Area Between Two Curves

40

6.7

Applications of the Definite Integral to Business and Economics

41

 

Review

42

 

Test Three

43

 

Review

*  Nearly every section of this text includes applications.  To make full use of the modeling approach employed by the authors, these applications should be covered and appropriate assignments made.

 

This is only an outline.  The exact days for each section are up to the discretion of the instructor.  The number and dates for exams are also up to the discretion of the instructor.  The Final Exam date will be given (in your classroom) on the date already assigned by the university’s Registrar’s Office.