30 Questions

Discusses abstraction, symmetry, discrete and continuous numbers, and MOST IMPORTANTLY Calculus!

Questions and Answers

- 1.What is abstraction
- A.
General concepts that simplify reality

- B.
Special case

- C.
Is to measure but not count something

- 2.What is a discrete quantity?
- A.
Something that can be counted

- B.
Something that cannot be counted

- C.
Something that is measured like height, weight, volume, area

- 3.What is a continuous quantity?
- 4.What are subjects that deal with discrete quantity?
- A.
Algebra

- B.
Geometry

- C.
Mathematical Logic

- D.
A and C

- 5.What are subjects that deal with continuous quantities?
- A.
Geometry

- B.
Calculus

- C.
Algebra

- D.
A and B

- 6.What is Mathematical logic?
- A.
Rules of human reasoning

- B.
Proven concepts that have worked over time

- C.
Reasonable criteria

- D.
All of the above

- 7.What is the difference between DISCRETE + CONTINUOUS quantities?
- A.
Continuous objects are measured not counted

- B.
Discrete objects are counted and not measured

- C.
Continuous objects are counted and not measured

- D.
A and B

- 8.What is a cardinal number?
- A.
Answers how much

- B.
Answers where it is

- C.
Answers how many

- D.
A and C

- E.
All of the above

- 9.What is a ordinal number?
- A.
Answers where it is

- B.
Answers how much

- C.
Answers how many

- D.
All of the above

- 10.What is Number Theory?
- A.
Studies it's function ONLY

- B.
Studies it's characteristics ONLY

- C.
Both

- 11.What is Abstract Algebra?
- A.
Study of groups

- B.
Study of mathematical structures

- C.
Study of number characteristics

- D.
A and B

- 12.The 1st stage of Algebra (the language of math) is the Rhetorical stage what is it?
- A.
All words no numbers

- B.
Words and numbers

- C.
Numbers

- 13.The 2nd stage of Algebra (the language of math) is a syncopated mixture what is it?
- A.
All words no symbols/numerals

- B.
Words and symbols/numerals

- C.
Symbols/numerals

- 14.The 3rd stage of Algebra (the language of math) is symbolic what is it?
- A.
All words no symbols/numerals

- B.
Words and symbols/numerals

- C.
No words just symbols

- 15.What is symmetry?
- A.
Balance in respect to an imaginary line

- B.
X and y axis represented in the Cartesian Coordinate system

- C.
Can be balanced in respect to a pt (pt of symmetry)

- D.
All of the above

- 16.What does Calculus do?
- A.
Takes things in motion and puts it on paper

- B.
Studies groups

- C.
Studies the characteristics of numbers

- D.
Studies the function of numbers

- E.
B and C

- 17.A limit is a subset of calculus what does it do?
- A.
Measures how close to a target without actually reaching it

- B.
A limit can reach it's target

- C.
A limit does not have to reach it's target

- D.
All of the above

- 18.A Derivative is a subset of Calculus what does it do?
- A.
Instantaneous rate of change of 1 thing in respect to another

- B.
Slope of the tangent line at any point on a curve

- C.
Can measure instantaneous velocity: instantaneous rate of change between distance and time

- D.
Can measure acceleration: velocity with respect to time

- E.
All of the above

- 19.Related Rates is a subset of Calculus what does it do?
- A.
Dynamic equilibrium: relates rates of water coming in and going out at the same time (balance when the system is in motion)

- B.
Static equilibrium: balance when the system is not in motion (relatively standing still)

- C.
Stable equilibrium: given a slight displacement (movement) (system will return to its original state of equilibrium)

- D.
Unstable equilibrium: given slightest displacement (system will not return to its orig state of equilibrium)

- E.
All of the above

- 20.Integrals (indefinite integration/anti-differentiation) are a subset of Calculus what is it?
- A.
Anti-derivative: does not study motion but when objects stand still

- B.
Studies motion

- C.
Studies the balance between two objects

- D.
All of the above

- 21.Infinite Processes are a subset of Calculus what does it do?
- A.
Used to represent wave propagation

- B.
Use to represent the translation of algebra to geometry and vice versa

- C.
Used to study postulates

- D.
Use to study sets

- 22.Infinite processes occur in
- A.
Nuclear fission

- B.
Electricity

- C.
Magnetism

- D.
Earthquakes

- E.
All of the above

- 23.Infinite processes occur in:
- A.
Light

- B.
Sound

- C.
Heat

- D.
Earthquakes

- E.
All of the above

- 24.What is a divergent series?
- A.
Sum of a sufficient number of terms will be bigger than the number that makes it

- B.
4={0,1,2,3} 2+3=5 5>4

- C.
Sum of a sufficient number of terms will be less than the number that makes it

- D.
2={0,1} ) 0+1=1 1<2

- E.
A and B

- 25.What is a convergent series
- A.
Sum of a sufficient number of terms will be bigger than the number that makes it

- B.
4={0,1,2,3} 2+3=5 5>4

- C.
Sum of a sufficient number of terms will be less than the number that makes it

- D.
2={0,1} ) 0+1=1 1<2

- E.
C and D

- 26.Solids of Revolution is a subset of Calculus what does it do?
- A.
Determines what kind of volumes can be carved out when spun

- B.
Is concerned with solids

- C.
Is concerned with three and four dimensional shapes

- D.
Is concerned with shapes

- 27.What is pure mathematics?
- A.
Used purely for theoretical purposes has no practical applications

- B.
Used for real world purposes

- C.
Used for both

- 28.What is mixed mathematics?
- A.
Used purely for theoretical purposes has no practical applications

- B.
Used for real world purposes

- C.
Used for both

- 29.What is applied mathematics?
- A.
Used purely for theoretical purposes has no practical applications

- B.
Used for real world purposes

- C.
Used for both

- 30.What is an axiom?
- A.
It is a postulate

- B.
Statement accepted as truth without proof

- C.
Demonstration of the truth

- D.
A and B