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
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LESSON |
SECTION |
TOPICS |
HOMEWORK PROBLEMS |
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1,2,3
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5.1 pgs.240-251 |
FIRST DEGREE EQUATIONS |
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Solving First-Degree Equations |
252/1,3,5,9,11,17,19,25,35 |
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Applications |
252/42,43,47,48,51,52,60a,b |
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Literal Equations |
250 Check your progress: 6a,b 256/71,75,77,79,88,90 |
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4,5
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5.2 pgs.257-267 |
RATES, RATIOS & PROPORTIONS |
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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 |
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Proportions |
274/35,43,50,53,54,56,58,59 |
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6,7,8
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5.3 pgs.277-291 |
PERCENTS |
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Percents |
292/7,8,9,13,14,16 |
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Basic percent problems |
292,293/18,20,22,24,26 |
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Percent increase and decrease |
296/30,31,32,35 |
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9* |
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REVIEW SESSION Chapter 5 |
314-317/1,3,4,9,10,11,15,16, 18,21,23,26 |
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10,11
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8.2 pgs.467-482 |
PERIMETERS & AREAS of PLANE FIGURES |
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Perimeter of Plane Geometric Figures |
484/1-15 in class 484/17a,21a,23a,25a,29a,31,33, 35,36,39 |
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Areas of Plane Geometric Figures |
486/46,50,53,57,61,65,71,77 |
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12 |
8.4 pgs.500-505 |
Volume |
511-514/1,3,5,13,15,17,19,21, 23,38,39,59 |
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13,14* |
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REVIEW FOR TEST 1 |
Sheets provided |
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15 |
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TEST 1 |
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16,17
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11.1 pgs.694-700 |
THE COUNTING PRINCIPLE |
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Counting Principle making a sample space tree diagram |
702/1,3,5,7,9,10,15,17,19,21,23,25 |
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18,19 |
11.2 pgs.704-714 |
PERMUTATIONS and COMBINATIONS |
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Factorials, Permutations |
714/1,3,5,7,13,15,45,47,53,69,70 |
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Combinations |
714/25,27,29,37,39,49,51,52,71 |
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LESSON |
SECTION |
TOPICS |
HOMEWORK PROBLEMS |
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20,21,22 |
11.3 pgs.717-726 |
PROBABILITY and ODDS |
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Probability |
727/1,3,7,9,13,23,24,27,31,35,39,41, 43,45,47,49,51,53,55,57,59 |
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Genetics |
729/61,62,63,64 |
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Odds |
729/67,69,71,74,77,79,80,83,85 |
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23 |
11.4 pgs.731-737 |
ADDITION and COMPLEMENT RULES
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Addition (or) (Mutually Exclusive) Complements |
738-739/3,5,7,9,11,21,23,25,27,29, 32,33,34 |
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24* |
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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 |
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25,26 |
12.1 pgs.768-775 |
MEASURES of CENTRAL TENDENCY |
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Mean, Median, Mode |
777/1,3,5,6,11,13,15 |
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The Weighted Mean |
777/17,19,21,23,27,29,31,33 |
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27,28 |
12.2 pgs.781-789 |
MEASURES of DISPERSION |
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The Range, Variance, Standard Deviation |
789-790/1-5,7,9,13-16 |
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29,30 |
12.4 pgs.805-811 |
NORMAL DISTRIBUTIONS |
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Histograms Frequency |
807/Check your progress: 1 838/14,15 |
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Distributions Empirical Rules and Normal Distributions |
818/3,5,6,7,8
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31-32* |
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REVIEW SESSION Chapter 12 |
840/1,2,3,6,7 |
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REVIEW for TEST 2 |
Sheets provided |
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33 |
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TEST 2 |
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34-37 |
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SUPPLEMENTAL MATERIAL |
Packet will be supplied |
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38 |
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QUIZ ON SUPPLEMENTAL MATERIAL |
Quiz will be supplied |
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39,40 |
10.1 pgs.622-630 |
SIMPLE INTEREST |
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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 |
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41,42,43 |
10.2 pgs.636-646 |
COMPOUND INTEREST |
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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 |
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44* |
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REVIEW SESSION Chapter 10 |
689/1-11 |
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45-53 |
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See Optional Modules A,B,&C: (attached) |
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54-56* |
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REVIEW for FINAL |
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*Indicate Review Sessions
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LESSON LESSON |
SECTION |
TOPICS |
HOMEWORK PROBLEMS |
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45
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13.2 pgs.863-865 |
APPORTIONMENT and VOTING
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Introduction to preferential voting systems; preference ballots; preference schedules; plurality method
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877-878/1,9,10,11,12 |
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46 |
13.2 pgs.865-870 |
APPORTIONMENT and VOTING |
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Borda Count; Plurality With Elimination |
879-880/19-24 |
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47 |
13.2 pgs.871-872 |
APPORTIONMENT and VOTING |
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Pairwise Comparison |
881/25-29 |
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48 |
13.2 pgs.873-876 |
APPORTIONMENT and VOTING |
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Fairness Criteria; Arrow’s Theorem |
882-883/31,33,35-38 |
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49 |
13.2 Class discussion |
APPORTIONMENT and VOTING |
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Approval Voting |
885/44 |
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50* |
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REVIEW SESSION |
901-903/10,22,25,26 |
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51-52* |
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REVIEW for TEST 3 |
Sheets provided |
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53 |
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TEST 3 |
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