Life of Fred
Life of Fred: Advanced Algebra Expanded Edition
The Human Face of Advanced Algebra
Every aspect of advanced algebra pops in our hero's everyday life
- Romance! How to approach a good-looking passenger on the bus
- Cuisine! What pie you shouldn't order...unless you're rich
- Travel! Parts of Kansas you've never been to
- Fashion! Hairless anteriors and gold chains
- Music! Contains the piano music—newest hit from Rockin' Rita
All fun! Just open and enjoy.
This book replaces both Life of Fred: Advanced Algebra and Fred's Home Companion: Advanced Algebra. This book has all the problems completely worked out, which wasn't true in the old books. It costs less, too.
The author recommends taking Advanced Algebra before Geometry.
All of second-year high school algebra: Ratios, Median averages, Proportions, Dividing by zero, 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, Laws of exponents, Rationalizing the denominator, Pythagorean theorem, Solving radical equations, Surface area of a cone, A Brief History of mathematics, Natural numbers, Whole numbers, Integers, Irrational numbers, Real numbers, Imaginary numbers, Complex numbers, Velocity, Conversion factors, Unit analysis, Venn diagrams, Union of sets, Disjoint sets, Subsets, Intersection of sets, Significant digits in addition and multiplication, Scientific notation, Exponential equations, Logarithms, Product, quotient, birdie, and power rules for logarithms, Using a scientific calculator, Finding antilogs, Three definitions of logarithms, Change-of-base rule for logarithms, Graphing, Abscissa, Ordinate, Quadrants, Slope, Slope given two points, Slope-intercept and double-slope forms of the line, Slopes of perpendicular lines, Multiplying binomials, Factoring binomials, Factoring a difference of squares, Factoring trinomials, Adding, subtracting, multiplying and dividing polynomial fractions, Complex fractions, Linear equations, Quadratic equations, Radical equations, Systems of Equations, Inconsistent, dependent and independent equations, Graphing planes in three dimensions, Cramer’s rule, Determinants, Ellipses, Circles, Reflective property of ellipses, Parabolas, Hyperbolas, Graphing inequalities, Definition of a function, Domain, Codomain, Range, Functional notation, One-to-one, Onto, Inverse functions, Ordered pairs, Long division of polynomials, Partial fractions, Proofs by math induction, Linear Programming, Arithmetic progressions, and series, Adding and multiplying matrices, Geometric sequences and progressions, Sigma notation, Fundamental principle of counting, Factorial, Permutations, Combinations, Binomial formula, Pascal’s Triangle.