A Streamlined Course on the Fundamentals of Precalculus

(Math 1050)

Kevin Wortman, 2nd edition, copyright 2015

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Beginnings

  • Sets and Numbers
  • Rules for Numbers
  • Solving Some Simple Equations
  • Functions
  • Discrete Mathematics

  • Sequences
  • Sums and Series
  • Counting I
  • Counting II
  • Back to Functions

  • More on Functions
  • Intro to Graphs
  • Graph Transformations
  • Fractions
  • Inverse Functions
  • n-th Roots
  • Polynomials

  • Basics of Polynomials
  • Division
  • Roots and Factors
  • Constant and Linear Polynomials
  • Quadratic Polynomials
  • Factoring Polynomials
  • Graphing Polynomials
  • Exponentials

  • Exponential Functions
  • Geometric Series
  • Rational Functions

  • Rational Functions
  • Logarithms

  • Logarithms
  • Exponential and Logarithmic Equations
  • Piecewise Defined Functions

  • Piecewise Defined Functions
  • Linear Algebra

  • Linear Equations in Two Variables
  • Substitution
  • Linear Equations in Three Variables
  • Rows and Columns
  • Vectors and Scalars
  • 2x2 Matrices
  • 3x3 Matrices
  • Determinants and Inverse Matrices
  • Matrix Equations

  • errata
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