SECTION

MEMORIZE / KNOW HOW TO!

PROBLEMS

1C

Venn diagrams –

1. use Venn diagrams to show relationships

2. figure out numerical information about the sets

3. given a proposition be able to identify it as one of four standard categorical propositions, put it into standard form, and draw the Venn diagram.

Exercises - 57, 69, 71, 77, 81, 82, 83

1D

Identify an argument as Inductive/Deductive -

1. Tests for validity and soundness of arguments

2. Evaluate the strength of an argument

3. Know that a statement is same as the contrapositive

4. Given a proposition give its contrapositive

5. Chain of conditionals

Exercise - 27, 43, 47, 49, 55, 57

2A

1. Converting Units/Currencies

2. Know examples about gas mileage, speed, distance, time stuff

Examples - 9, 12

Exercises - 43, 49, 63, 65, 67

2B

USCS to metric conversions and the other way around

1. 1 inch = 2.54 cm

2. 1 foot = 12 inches

3. 1 kg = 2.205 lb

4. 1 mile = 1.6093 km

5. 1 gal = 3.785 L

Know prefixes (only these from table 2.5)

1. centi = 1/100 e.g. 1 centimeters = 1/100 meters

2. kilo = 1000 e.g. 1 kilogram = 1000 grams

3. micro = 1/1,000,000

4. nano = 1/1,000,000,000

5. milli = 1/1,000 e.g. 1 mL = 1/1000 L

6. mega = 1,000,000

7. giga = 1,000,000,000

Conversion relations

1. Celsius to Fahrenheit, F = 1.8C + 32

Power, Energy, Density, Concentration

Given an equations and units for all but one of the variables, find the units for that variable.

Examples – 7,8,9,10

Exercises – 47, 59, 69, 79, 81, 82, 83

Problems on the quizzes

3A

Percentages as fractions

Percentages to describe change -

1. Relative change

2. Absolute change

Percentages as comparisons -

1. Relative difference

2. Absolute difference

Percentages of percentages – Percentage points

“Of” versus “More than” - P% more than x = (100 + P)% of x

Exercises – 55, 63, 67, 75, 79, 83, 91, 111, 115

Problems on the quizzes

3B

Scientific Notation

Estimation / Order of Magnitude

Scale Ratio

Comparisons

Examples – 7, 8

Exercises – 33, 37, 41, 45, 65

3C

Significant Digits

Errors -

1. Absolute

2. Relative

3. Systematic versus Random

Precision versus Accuracy

Exercises – 27 to 37 (odd only), 43, 45, 57, 65, 67