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Quiz 2- Math 103 Midterm Prep

30 Questions
Mathematics Quizzes & Trivia

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