Quantcast Introduction to Mathematics and Algebra

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Chapter 1 - Numbers and Sets

Definitions and symbols

Chapter 2 - Positive Integers

Mental Calculation
Multiplication Methods
Placement of Decimal Points
Uneven Division
Order of Operations
Zero as a factor

Chapter 3 - Signed Numbers

Operating with signed numbers
Multiplication of signed numbers
Special cases for laws of signs

Chapter 4 - Common Fractions

Equivalent Fractions
Improper fractions
Like and unlike fractions
Addition of fractions
Subtraction of fractions
Multiplication of fractions
Division with Fractions
The rule for division by the reciprocal method

Chapter 5 - Decimals

Reading Decimals
Changing decimals to common fractions
Nonterminating Decimals
Multiplication of Two Decimals
Decimal Divisors

Chapter 6 - Percentage and Measurement

The three percentage cases
Principles of Measurement
Percent of Error
Calculating with approximate numbers

Chapter 7 - Exponents and Radicals

Power of a Quotient
Fractional Exponents
Multiplication Using Powers of 10
Other Applications
Multiplication and Division
Rational and Irrational Numbers
Tables of Roots

Chapter 8 - Logarithms and the slide rule

Common Logarithms
Components of logarithms
The slide rule
Operations with the slide rule
Placing the Decimal Point
Multiplication and Division
Square Roots
Cubes and cube roots
Positioning numbers on the K scale

Chapter 9 - Fundamentals of Algebra

Algebraic Expressions
Symbols of Grouping
Exponents and radicals
Operations with polynomials
Multiplication of a polynomial by a polynomial
Rationalizing denominators
Division of a polynomial by a monomial
Synthetic Division

Chapter 10 - Factoring Polynomials

Binomial Forms
Special Binomial Forms
Trinomial Squares
Reducing Fractions to lowest terms
Dividing Fractions

Chapter 11 - Linear Equations in one variable

Degree of an equation
Solving linear equations
Solutions requiring more than one operation
Equations with literal coefficients
General form of a linear equation
Graphing Inequalities

Chapter 12 - Linear equations in two variables

X and Y Intercepts
Graphical Solution
Adding the equations
Substitution Method
Interpreting equations
Using two variables in solving word problems
Plotting on the coordinate system

Chapter 13 - Ratio, Proportion, and Variation

Operations of proportions
Other forms for proportions
Solving problems by means of proportion
Word Problems
Variation as the Power of a Quantity
Joint variation

Chapter 14 - Dependence, Functions, and Formulas

Subject of a Formula
Evaluating Formulas
Translating Formulas

Chapter 15 - Complex Numbers

Imaginary Unit
The complex plane
Plotting Complex Numbers
Addition and subtraction of complex numbers
Conjugates and special products

Chapter 16 - Quadratic equations in one variable

Solution by Factoring
Solution by completing the square
Solution by the quadratic formula
Graphical Solution
Maximum and minimum points
The discriminant
Equal or double roots
Irrational Roots
Graphical interpretation of roots

Chapter 17 - Plane Figures

Geometric Relationships
Perimeter and Area
Formulas for Circumference and Area

Chapter 18 - Geometric constructions and solid figures

Perpendicular at any point on a line
Finding the center of a circle
Types of Prisms
Surface Area and Volume
Regular pyramids and right circular cones

Chapter 19 - Numerical Trigonometry

Simlar right triangles
Trigonometric Ratios
Tables of decimal values
Right triangles with special angles and side ratios
The 3-4-5 triangle
Oblique Triangles
Law of sines

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