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MPI Pre-Calculus

The following learning targets represent the major concepts studied and assessed in this course.


  • Students will be able to evaluate functions, graph functions, and analyze the graphs of functions. In particular, a student will be able to perform these tasks for linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric, and piecewise-defined functions.
  • Students will understand and be able to calculate slope and rates of change at a level of proficiency sufficient for success in calculus.
  • Students will understand the relationship between exponential and logarithmic functions, demonstrate proficiency with the properties of logarithms, and use logarithms to solve exponential equations, and vice versa.
  • Students will understand the definitions of the six basic trigonometric functions, use these functions to solve simple geometry problems, make use of basic trigonometric identities, solve equations involving these functions.
  • Students will be able to perform various aspects of mathematical modeling using functions.

Topics:

  • Study of Functions & Graphs
  • Equations and Inequalities
  • Polynomial and Rational functions
  • Exponential and Logarithmic functions
  • Systems of linear equations in two and three variables
  • Matrices and Determinants
  • Trigonometric Functions
  • Analytic Trigonometry
  • Additional Topics in Trigonometry
  • Law of Sines/Cosines, Polar Coordinates, Vector Basics