# math_105

Math 105    SURVEY OF MATHEMATICS

Estimation

Problem Solving

# Chapter 2   Sets

Venn Diagrams and Set Operations

Venn Diagrams with Three Sets and Verification of Equality of Sets

Infinite Sets

Truth Tables for Negation, Conjunction, and Disjunction

Truth Tables for the Conditional and Biconditional

Equivalent Statements

Euler Diagrams and Syllogistic Arguments

Place-Value or Positional-Value Numeration Systems

Other Bases

Computation in Other Bases

Number Theory

The Irrational Numbers and the Real Number System

Rules of Exponents and Scientific Notation

Fibonacci Sequence

Order of Operations

Applications of Linear Equations in One Variable

Linear Inequalities

Linear Equalities in Two Variables

Solving Quadratic Equations by Using Factoring and Quadratic Formula

Functions and Their Graphs

Systems of Linear Equations

Solving Systems of Equations by the Substitution and Addition Methods

Matrices

Solving Systems of Equation by Using Matrices

Systems of Linear Inequalities

Linear Programming

Basic Terms and Conversions within the Metric System

Mass and Temperature

Dimensional Analysis and Conversions to and from the Metric System

Points, Lines, Planes, and Angles

Polygons

Perimeter and Area

Volume

The Mobius Strip, Klein Bottle, and Maps

Non-Euclidean Geometry and Fractal Geometry

Groups

Finite Mathematical Systems

Modular Arithmetic

Personal Loans and Simple Interest

Compound Interest

The Nature of Probability

Theoretical Probability

Expected Value (Expectation)

Or and And Problem

The Counting Principle and Permutations

Combinations

Solving Probability Problems by Using Combinations

Binomial Probability Formula

Sampling Techniques

The Misuses of Statistics

Frequency Distributions

Statistical Graphs

Measures of Central Tendency

Measures of Dispersion

The Normal Curve

Linear Correlation and Regression

Graph, Paths, and Circuits

Hamilton Paths and Hamilton Circuits

Trees

Voting Systems

Apportionment Methods

Flaws of the Apportionment Methods