Life of Fred: Advanced Algebra - Expanded Edition (G306)
Life of Fred: Advanced Algebra - Expanded Edition (G306)
Find out about...
- Romance! How little kids meet each other 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! The newest hit "Unselfish Love" by accordionist Rockin' Rita, age 4
....while learning all of advanced algebra.
The Expanded Edition of Advanced Algebra contains the contents of the original version plus the discontinued Companion Guide. It also has all of the answers worked out in full. Laid out in 108 daily lessons, this hard cover text covers everything you need for 2nd year highschool Algebra.
In this course you will learn about...
Matrices
Proofs by math induction
Linear Programming
Determinants
Cramer's rule
Arithmetic progressions and series
Adding and multiplying matrices
Factorial
Permutations
Combinations
Numbers
Natural numbers
Whole numbers
Integers
Irrational numbers
Real numbers
Imaginary numbers
Complex numbers
Scientific notation
Sigma notation
Fundamental principle of counting
Other Topics
Brief History of mathematics
Conversion factors
Unit analysis
Velocity
Using a scientific calculator
Polynomials
Multiplying binomials
Factoring binomials
Factoring a difference of squares
Factoring trinomials
Adding, subtracting, multiplying and dividing polynomial fractions
Binomial formula
Long division of polynomials
Proportions
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
Sets
Venn diagrams
Union of sets
Disjoint sets
Subsets
Intersection of sets
Domain
Codomain
Range
Equations
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
Exponents
Laws of exponents
Exponential equations
Fractions
Complex fractions
Partial fractions
Functions
Definition of a function
Functional notation
One-to-one
Inverse functions
Geometry
Pythagorean theorem
Surface area of a cone
Ellipses
Circles
Reflective property of ellipses
Parabolas
Hyperbolas
Geometric sequences and progressions
Pascal's Triangle
Graphing
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
Logarithms
Product, quotient, birdie, and power rules for logarithms
Finding antilogs
Three definitions of logarithms
Change-of-base rule for logarithms
Unlike all other math programs, this one also has:
- Material from Modern Bus & Electric Journal
- Why Rita could never be 50 feet tall
- A 12-page True Fairytale History of Mathematics from the counting numbers to the complex numbers
- A short discussion of tachyons (which travel faster than the speed of light)
. . . and all of these are just in the first two chapters!
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