# Quiz 2- Math 103 Midterm Prep

30 Questions

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

• 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.

• B.

• C.

• D.

A and C

• E.

All of the above

• 9.
What is a ordinal number?
• A.

• B.

• C.

• 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

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