MATH 1120 Syllabus

CALCULUS

Text: Calculus for the Managerial, Life and Social Sciences, (7th Edition) by S.T.Tan

 

Lecture

Section(s)

Topics *

1

1.4-2.1

Review of lines (students are responsible for 1.1-1.3 on their own); Functions and their graphs

2

2.1-2.2

Functions and their graphs; The algebra of functions

3

2.3-2.4

Functions and mathematical models; Begin limits

4

2.4-2.5

Limits, one-sided limits and continuity

5

2.6

The derivative

6

3.1-3.2

Basic differentiation, product and quotient rules

7

3.2-3.3

More product/quotient rules; Chain rule

8

3.3-3.5

Chain rule; Marginal functions in economics (suffices to cover marginal cost, revenue, and profit); higher order derivatives (takes very little time)

9

Review, 4.1

Review for first test; Applications of the first derivative

10

 

First test

11

4.2

Applications of the second derivative

12

4.3

Curve sketching

13

4.4

Optimization I

14

4.5

Optimization II

15

5.1-5.2

Exponential functions; Logarithmic functions (emphasize base e)

16

5.2-5.3

Logarithmic functions; Compound interest (optional}

17

5.4

Differentiation of exponential functions

18

5.5

Differentiation of logarithmic functions

19

5.6

Exponential functions as mathematical models (optional, but do work in some models in sections 5.1, 5.4 if you don’t cover this section)

20

Review, 6.1

Review for second test; Antiderivatives and rules of integration

21

 

Second test

22

6.2

Integration by substitution

23

6.3

Area and the definite integral

24

6.4

The fundamental theorem of calculus

25

6.5

Evaluating definite integrals (using substitution)

26

6.6-6.7

Area between two curves; Applications of the definite integral to business and economics (optional, but consumers’/producers’ surplus is nice)

27

Review

Review for third test

28

 

Third test

29

More review

Review for final exam

      

       * 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 assumes that the class meets two days per week.  It 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 Registrar’s Office.

 

Prepared on 9/4/08 by Evan Houston