Overview

This captivating 'Life of Fred' math book is part of an innovative series that seamlessly weaves math concepts into an engaging narrative, following the journey of a character named Fred. These books make learning math an enjoyable adventure, fostering deep understanding and a lifelong love for the subject.

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

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