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The Nature of Mathematics – 13th Edition

Chapter 15

Individual Research Projects Section 15.4

July 22, 2015September 29, 2015 by elaine

Project 15.4

Ships at sea locate their positions using the Long Range Navigation system known as LORAN. In this system, a master station sends signals that can be received by ships at sea. To fix the position of a particular … See the whole entry

Categories Chapter 15, Individual Research Projects

Individual Research Projects Section 15.3

July 22, 2015September 29, 2015 by elaine

Project 15.2

The population in California was 33,871,648 in January 2000, and 37,253,856 in January 2014. Predict California’s population in the year 2020.

Project 15.3

The population in Sebastopol, California was 7,774 in January 2000, and 7,598 in January 2013. … See the whole entry

Categories Chapter 15, Individual Research Projects

Individual Research Project Section 15.2

July 22, 2015September 29, 2015 by elaine

Project 15.1

This problem is a continuation of Problem 60, Section 15.2. A player’s batting average really isn’t simply the ratio h/a . It is the value of h/a rounded to the nearest thousandth. It is possible that a batting … See the whole entry

Categories Chapter 15, Individual Research Projects

Video Links 15-5

July 22, 2015August 11, 2015 by elaine

Videos:
Functions  (time: 9:33)

Function notation (time: 5:29)
… See the whole entry

Categories Chapter 15, Video LinksTags Function notation, Functions

Video Links 15-4

July 22, 2015August 11, 2015 by elaine

Videos:
This video provides a nice introduction to the conic sections  (time: 0:51)

Constructing a parabolic reflector using a satellite dish (time: 10:59)
… See the whole entry

Categories Chapter 15, Video LinksTags Conic sections, Parabola

Video Links 15-2

July 22, 2015August 11, 2015 by elaine

Video:
Graphing linear inequalities in two variables. The first minute tells you everything you need to know; the next nine minutes provide some examples. (time: 10:04)
… See the whole entry

Categories Chapter 15, Video LinksTags Graphing lines, Linear inequalities

Video Links 15-1

July 22, 2015August 11, 2015 by elaine

Videos:
The Cartesian Plane – this is an excellent introduction  (time: 3:11)

Graph a line by plotting points (time: 7:59)

Graph a line using the slope and intercept (time: 7:16)
… See the whole entry

Categories Chapter 15, Video LinksTags Cartesian plane, Intercepts, Plotting points, Slope

Reference Topics 15-5

July 22, 2015 by elaine

This site provides an elementary discussion of functions.
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsRelationsIntro.xml… See the whole entry

Categories Chapter 15, Reference TopicsTags Functions

Reference Topics 15-4

July 22, 2015June 4, 2017 by elaine

A nice overview of the conic sections can be found at this site:
http://www.mathacademy.com/pr/prime/articles/concis/index.asp

This is a great interactive site for graphing conic sections.

In order to use this graphing tool, you need to write the equation in the form… See the whole entry

Categories Chapter 15, Reference TopicsTags Conical sections, Graph

Reference Topics 15-3

July 22, 2015November 10, 2015 by elaine

Here is a good site for graphing equations of the form “y =”.
http://www.calculator.com/graphing/

This is a general site for graphing lines, parabolas, and exponentials.
https://www.desmos.com/calculator

 … See the whole entry

Categories Chapter 15, Reference TopicsTags Exponentials, Graphing lines, Parabola
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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

Favorite Recommended Sites

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