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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
  • Solving radical equations
  • Significant digits in addition and multiplication
  • Linear equations
  • Quadratic equations
  • Radical 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
  • Quadrants
  • 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
  • Adding and multiplying matrices
  • 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

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by Stanley F. Schmidt, Ph.D.
$39.00