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### Life of Fred: Advanced Algebra

by Stanley F. Schmidt, Ph.D.
\$39.00
The second book in the Life of Fred High School Series.

• Dividing by zero
• Rationalizing the denominator
• Significant digits in addition and multiplication
• Linear equations
• Systems of Equations
• Inconsistent, dependent and independent equations
• Laws of exponents
• Exponential equations
• Complex fractions
• Partial fractions
• Definition of a function
• Functional notation
• One-to-one
• Inverse functions
• Pythagorean theorem
• Surface area of a cone
• Ellipses
• Circles
• Reflective property of ellipses
• Parabolas
• Hyperbolas
• Geometric sequences and progressions
• Pascal’s Triangle
• Graphing
• Abscissa
• Ordinate
• Slope
• Slope given two points
• Slope-intercept and double-slope forms of the line
• Slopes of perpendicular lines
• Graphing planes in three dimensions
• Graphing inequalities
• Ordered pairs
• Logarithms
• Product, quotient, birdie, and power rules for logarithms
• Finding antilogs
• Three definitions of logarithms
• Change-of-base rule for logarithms
• Proofs by math induction
• Linear Programming
• Determinants
• Cramer’s rule
• Arithmetic progressions and series
• Factorial
• Permutations
• Combinations
• Natural numbers
• Whole numbers
• Integers
• Irrational numbers
• Real numbers
• Imaginary numbers
• Complex numbers
• Scientific notation
• Sigma notation
• Fundamental principle of counting
• Brief History of mathematics
• Conversion factors
• Unit analysis
• Velocity
• Using a scientific calculator
• Multiplying binomials
• Factoring binomials
• Factoring a difference of squares
• Factoring trinomials
• Adding, subtracting, multiplying and dividing polynomial fractions
• Binomial formula
• Long division of polynomials
• Ratios
• Median averages
• Proportions
• Cross-multiplying
• Constants of proportionality
• Inverse variation
• Direct variation
• Joint variation
• Weight varies directly as the cube of the height
• Area varies directly as the square of the height
• Volume varies directly as the cube of the height
• Venn diagrams
• Union of sets
• Disjoint sets
• Subsets
• Intersection of sets
• Domain
• Codomain
• Range
Sku #: 682  