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The Nature of Mathematics – 13th Edition

Chapter 03

Individual Research Project Section 3.6

September 28, 2015July 2, 2015 by elaine

Project 3.9

Build a simple device which will add single digit numbers.

References:

Circuit design
http://en.wikipedia.org/wiki/Adder_(electronics)
http://cpuville.com/adder.htm… See the whole entry

Categories Chapter 03, Individual Research ProjectsTags Circuits

Individual Research Projects Section 3.5

September 28, 2015July 2, 2015 by elaine

Project 3.6 Convention Problem

A mathematician attended a convention of men and women scientists. The mathematician observed that if any two of them were picked at random, at least one of the two would be male. From this information, it … See the whole entry

Categories Chapter 03, Individual Research Projects

Individual Research Project Section 3.4

September 28, 2015July 2, 2015 by elaine

Project 3.5

Suppose a prisoner must make a choice between two doors. One door leads to freedom and the other door is booby-trapped so that it leads to death. The doors are labeled as follows:

Door 1: This door leads … See the whole entry

Categories Chapter 03, Individual Research ProjectsTags Logic

Individual Research Project Section 3.3

September 28, 2015July 2, 2015 by elaine

Project 3.4

Between now and the end of the course, look for logical arguments in newspapers, periodicals, and books. Translate these arguments into symbolic form. Turn in as many of them as you find. Be sure to indicate where you … See the whole entry

Categories Chapter 03, Individual Research ProjectsTags Logic

Individual Research Projects Section 3.2

September 28, 2015July 2, 2015 by elaine

Project 3.2

Do some research to explain the differences between the words necessary and sufficient.

Project 3.3

Sometimes statements p and q are described as contradictory, contrary, or inconsistent. Consult a logic text, and then define these terms using … See the whole entry

Categories Chapter 03, Individual Research Projects

Individual Research Project Section 3.1

September 28, 2015July 2, 2015 by elaine

Project 3.1

Deck of Cards Puzzle

Here is a problem by Bob Stanton from the 1998 issue of Games magazine which you can use to test your logical reasoning.

“For her school’s Science Fair, your niece has pasted a deck … See the whole entry

Categories Chapter 03, Individual Research ProjectsTags Logical reasoning

Video Links 3-2

August 11, 2015July 2, 2015 by elaine

Videos:
Truth tables (time: 4:55)

Conditionals (time: 2:08)
… See the whole entry

Categories Chapter 03, Video LinksTags Conditionals, Truth Tables

Video Links 3-3

August 11, 2015July 2, 2015 by elaine

Video:
Logically equivalent (time: 2:27)
… See the whole entry

Categories Chapter 03, Video LinksTags Logically equivalent

Video Links 3-4

August 11, 2015July 2, 2015 by elaine

Video:
Conditionals (time: 3:32)
… See the whole entry

Categories Chapter 03, Video LinksTags Conditionals

Video Links 3-1

August 11, 2015July 2, 2015 by elaine

Videos:
Negation (time: 7:08)

Conjunction (time: 3:47)

Disjunction (time: 6:07)
… See the whole entry

Categories Chapter 03, Video LinksTags Conjunction, Disjunction, Negation
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  • Chapter 1
    • Section 1.1: Problem Solving
    • Section 1.2: Inductive and Deductive Reasoning
    • Section 1.3: Scientific Notation and Estimation
    • Section 1.4: Review for Chapter 1
  • Chapter 2
    • Section 2.1: Sets, Subsets, and Venn Diagrams
    • Section 2.2: Operations with Sets
    • Section 2.3: Applications of Sets
    • Section 2.4: Finite and Infinite Sets
    • Section 2.5: Review for Chapter 2
  • Chapter 3
    • Section 3.1: Deductive Reasoning
    • Section 3.2: Truth Tables and the Conditional
    • Section 3.3: Operations and Laws of Logic
    • Section 3.4: The Nature of Proof
    • Section 3.5: Problem Solving Using Logic
    • Section 3.6: Logic Circuits
    • Section 3.7: Review for Chapter 3
  • Chapter 4
    • Section 4.1: Early Numeration Systems
    • Section 4.2: Hindu-Arabic Numeration Systems
    • Section 4.3: Different Numeration Systems
    • Section 4.4: Binary Numeration System
    • Section 4.5: History of Calculating Devices
    • Section 4.6: Review for Chapter 4
  • Chapter 5
    • Section 5.1: Natural Numbers
    • Section 5.2: Prime Numbers
    • Section 5.3: Integers
    • Section 5.4: Rational Numbers
    • Section 5.5: Irrational Numbers
    • Section 5.6: Groups, Fields, and Real Numbers
    • Section 5.7: Discrete Mathematics
    • Section 5.8: Cryptography
    • Section 5.9: Review for Chapter 5
  • Chapter 6
    • Section 6.1: Polynomials
    • Section 6.2: Factoring
    • Section 6.3: Evaluation, Applications, and Spreadsheets
    • Section 6.4: Equations
    • Section 6.5: Inequalities
    • Section 6.6: Algebra in Problem Solving
    • Section 6.7: Ratios, Proportions, and Problem Solving
    • Section 6.8: Percents
    • Section 6.9: Modeling Uncategorized Problems
    • Section 6.10: Review for Chapter 6
  • Chapter 7
    • Section 7.1: Geometry
    • Section 7.2: Polygons and Angles
    • Section 7.3: Triangles
    • Section 7.4: Similar Triangles
    • Section 7.5: Right-Triangle Trigonometry
    • Section 7.6: Mathematics, Art, and Non-Euclidean Geometries
    • Section 7.7: Review for Chapter 7
  • Chapter 8
    • Section 8.1: Perimeter
    • Section 8.2: Area
    • Section 8.3: Surface Area, Volume, and Capacity
    • Section 8.4: Miscellaneous Measurements
    • Section 8.5: U.S. – Metric Conversions
    • Section 8.6: Review for Chapter 8
  • Chapter 9
    • Section 9.1: Euler Circuits and Hamiltonian Cycles
    • Section 9.2: Trees and Minimum Spanning Trees
    • Section 9.3: Topology and Fractals
    • Section 9.4: Review for Chapter 9
  • Chapter 10
    • Section 10.1: Exponential Equations
    • Section 10.2: Logarithmic Equations
    • Section 10.3: Applications of Growth and Decay
    • Section 10.4: Review for Chapter 10
  • Chapter 11
    • Section 11.1: Interest
    • Section 11.2: Installment Buying
    • Section 11.3: Sequences
    • Section 11.4: Series
    • Section 11.5: Annuities
    • Section 11.6: Amortization
    • Section 11.7: Summary of Financial Formulas
    • Section 11.8: Review for Chapter 11
  • Chapter 12
    • Section 12.1: Permutations
    • Section 12.2: Combinations
    • Section 12.3: Counting Without Counting
    • Section 12.4: Rubik’s Cube and Instant Insanity
    • Section 12.5: Review for Chapter 12
  • Chapter 13
    • Section 13.1: Introduction to Probability
    • Section 13.2: Mathematical Expectation
    • Section 13.3: Probability Models
    • Section 13.4: Calculated probabilities
    • Section 13.5: Bayes’ Theorem
    • Section 13.6: Binomial Distribution
    • Section 13.7: Review for Chapter 13
  • Chapter 14
    • Section 14.1: Frequency Distributions and Graphs
    • Section 14.2: Descriptive Statistics
    • Section 14.3: The Normal Curve
    • Section 14.4: Correlation and Regression
    • Section 14.5: Sampling
    • Section 14.6: Review for Chapter 14
  • Chapter 15
    • Section 15.1: Cartesian Coordinates and Graphing Lines
    • Section 15.2: Graphing Half-Planes
    • Section 15.3: Graphing Curves
    • Section 15.4: Conic Sections
    • Section 15.5: Functions
    • Section 15.6: Review for Chapter 15
  • Chapter 16
    • Section 16.1: Systems of Linear Equations
    • Section 16.2: Problem Solving with Systems
    • Section 16.3: Matrix Solution of a System of Equations
    • Section 16.4: Inverse Matrices
    • Section 16.5: Modeling with Linear Programming
    • Section 16.6: Review for Chapter 16
  • Chapter 17
    • Section 17.1: Voting
    • Section 17.2: Voting Dilemmas
    • Section 17.3: Apportionment
    • Section 17.4: Apportionment Paradoxes
    • Section 17.5: Review for Chapter 17
  • Chapter 18
    • Section 18.1: What is Calculus?
    • Section 18.2: Limits
    • Section 18.3: Derivatives
    • Section 18.4: Integrals
    • Section 18.5: Review for Chapter 18
  • Epilogue Video Links
  • Math Nature – 12th Edition
  • Transparencies
  • Group Research Projects
  • Individual Projects
  • Keyword List
  • About Karl Smith
  • Karl Smith’s Textbooks
    • Developmental
    • Liberal Arts
    • Business/Finite Mathematics
    • One Unit Series
    • Algebra
    • Trigonometry/Precalculus
    • Calculus

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  • Algebra Help
  • Ask Dr. Math
  • Quick Math
  • The Math Forum @ Drexel
  • Clemens Library & Alcuin Library
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