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Math 105    Liberal Arts Mathematics

 

 

 

We All Use Math Everyday

                 TI/Numb3rs

                 Mathematical Quilts

                 Math in Daily life

 

Chapter 1    Critical Thinking Skills

                   Inductive Reasoning

                   Estimation

                   Problem Solving

 

 

Chapter 1    Critical Thinking Skills

                   Inductive Reasoning

                   Estimation

                   Problem Solving

 

 

Chapter 2    Sets

                   Set Concepts

                   Venn Diagrams

                   Infinite Sets

 

 

Chapter 3    Logic

                   Statements and Logical Connectives

                   Truth Tables

                   Equivalent Statements

 

 

Chapter 4    Systems of Numeration

                   Additive and Multiplicative Systems

                   Ciphered Systems

                   Place-Value or Positional-Value Numeration Systems

                   Other Bases

                   Early Computational Methods

 

 

Chapter 8    The Metric System

                   Length, Area and Volume

                   Mass and Temperature

                   Dimensional Analysis

 

 

Chapter 9    Geometry

                   Points, Lines, Planes and Angles

                   Polygons

                   Perimeter and Area

                   Volume

                   Tessellations

                   Medieval Geometric Patterns

                   Mobius Strip and Klein Bottle

                       

 

Chapter 10   Mathematical Systems

                   Groups

                   Finite Mathematical Systems

                   Modular Arithmetic

                       

 

Chapter 11   Consumer Mathematics

                   Percent

                   Simple Interest

                   Compound Interest

                   Installment Buying

                   Mortgages

                   Loan Rates and Calculators

 

 

Chapter 12   Probability

                   Theoretical Probability

                   Odds

                   Expected Value

                   Tree Diagrams

                   Or and And Problems

                   Conditional Probability

                   Counting Principle

                   Permutations

                   Combinations

                   Binomial Theorem

 

                

Chapter 13   Statistics

                   Sampling Techniques

                   Frequency Distributions

                   Measure of Central Tendency

                   Measures of Dispersion

                   Normal Curve

                   Linear Correlation and Regression

                   Gallup Poll

                

 

Chapter 14   Graph Theory

                   Graphs

                   Paths

                   Circuits

                   Euler Paths and Euler Circuits

                   Hamilton Paths and Hamilton Circuits

                   Trees

                

 

Chapter 15   Voting Apportionment

                   Voting Methods

                   Apportionment Methods

                
 

 

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Copyright 2002, RSCCD | last updated 04/01/2009 by Mike Everett

© Copyright 2005, Santa Ana College, RSCCD
Last updated 05/04/2009 by DMZN\le_hang