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