COLLEGE OF STATEN ISLAND

DEPARTMENT OF MATHEMATICS

COURSE OUTLINE

MTH 102 -- Mathematics for Liberal Arts

Fall 2005


TEXT: Mathematical Excursions by Aufmann/Lockwood/Nation/Clegg;

Houghton Mifflin Company


REQUIRED: Scientific Calculator



LESSON


SECTION

TOPICS


HOMEWORK PROBLEMS





1,2,3


5.1

pgs.240-251

FIRST DEGREE EQUATIONS


Solving First-Degree Equations

252/1,3,5,9,11,17,19,25,35

Applications

252/42,43,47,48,51,52,60a,b

Literal Equations

250 Check your progress: 6a,b 256/71,75,77,79,88,90

4,5


5.2

pgs.257-267

RATES, RATIOS & PROPORTIONS


Unit rate, rates, ratio

262/Check your progress: 5

263/Check your progress: 6 270,271/8,9,10,14,17,18,21, 27-32

Proportions

274/35,43,50,53,54,56,58,59

6,7,8


5.3

pgs.277-291

PERCENTS


Percents

292/7,8,9,13,14,16

Basic percent problems

292,293/18,20,22,24,26

Percent increase and decrease

296/30,31,32,35

9*


REVIEW SESSION

Chapter 5

314-317/1,3,4,9,10,11,15,16,

18,21,23,26

10,11


8.2

pgs.467-482

PERIMETERS & AREAS of

PLANE FIGURES


Perimeter of Plane Geometric

Figures

484/1-15 in class

484/17a,21a,23a,25a,29a,31,33,

35,36,39

Areas of Plane Geometric Figures

486/46,50,53,57,61,65,71,77

12

8.4

pgs.500-505

Volume

511-514/1,3,5,13,15,17,19,21,

23,38,39,59

13,14*


REVIEW FOR TEST 1

Sheets provided

15


TEST 1


16,17


11.1

pgs.694-700

THE COUNTING PRINCIPLE


Counting Principle

making a sample space tree diagram

702/1,3,5,7,9,10,15,17,19,21,23,25

18,19

11.2

pgs.704-714

PERMUTATIONS and

COMBINATIONS


Factorials, Permutations

714/1,3,5,7,13,15,45,47,53,69,70

Combinations

714/25,27,29,37,39,49,51,52,71



LESSON


SECTION

TOPICS


HOMEWORK PROBLEMS





20,21,22

11.3

pgs.717-726

PROBABILITY and ODDS


Probability

727/1,3,7,9,13,23,24,27,31,35,39,41,

43,45,47,49,51,53,55,57,59

Genetics

729/61,62,63,64

Odds

729/67,69,71,74,77,79,80,83,85

23

11.4

pgs.731-737

ADDITION and COMPLEMENT RULES



Addition (or) (Mutually Exclusive) Complements

738-739/3,5,7,9,11,21,23,25,27,29,

32,33,34

24*


REVIEW SESSION

Chapter 11

762-763/4,5,15,16,18,20,21,22,28,

29,30,33,34,37,38,39,41,42,43,44,47,48,52,53

25,26

12.1

pgs.768-775

MEASURES of CENTRAL

TENDENCY


Mean, Median, Mode

777/1,3,5,6,11,13,15

The Weighted Mean

777/17,19,21,23,27,29,31,33

27,28

12.2

pgs.781-789

MEASURES of DISPERSION


The Range, Variance, Standard Deviation

789-790/1-5,7,9,13-16

29,30

12.4

pgs.805-811

NORMAL DISTRIBUTIONS


Histograms Frequency

807/Check your progress: 1

838/14,15

Distributions Empirical Rules and Normal Distributions

818/3,5,6,7,8


31-32*

REVIEW SESSION

Chapter 12

840/1,2,3,6,7

REVIEW for TEST 2

Sheets provided

33


TEST 2


34-37


SUPPLEMENTAL MATERIAL

Packet will be supplied

38


QUIZ ON SUPPLEMENTAL MATERIAL

Quiz will be supplied

39,40

10.1

pgs.622-630

SIMPLE INTEREST


Simple Interest, Future or Maturity Value, Stocks and Bonds

632-634/5,7,9,11,21,25,27,31,34,

36,37,39,40,43,46,47,50,52,53,55,57

41,42,43

10.2

pgs.636-646

COMPOUND INTEREST


Compound Interest, Present Value, Inflation

651-652/1,3,5,7,15,18,27,31,35,40,45

652/21,26,37,47,55,57,59

44*

REVIEW SESSION

Chapter 10

689/1-11

45-53


See Optional Modules A,B,&C: (attached)


54-56*



REVIEW for FINAL



*Indicate Review Sessions





Module C: Voting Methods




LESSON

LESSON


SECTION

TOPICS


HOMEWORK PROBLEMS





45


13.2

pgs.863-865

APPORTIONMENT and VOTING





Introduction to preferential voting systems; preference ballots; preference schedules; plurality method


877-878/1,9,10,11,12

46

13.2

pgs.865-870

APPORTIONMENT and VOTING


Borda Count; Plurality With Elimination

879-880/19-24

47

13.2

pgs.871-872

APPORTIONMENT and VOTING


Pairwise Comparison

881/25-29

48

13.2

pgs.873-876

APPORTIONMENT and VOTING


Fairness Criteria; Arrow’s Theorem

882-883/31,33,35-38

49

13.2

Class discussion

APPORTIONMENT and VOTING


Approval Voting

885/44

50*


REVIEW SESSION

901-903/10,22,25,26

51-52*


REVIEW for TEST 3

Sheets provided

53


TEST 3