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Math Analysis

Course Description

 

This course is designed to prepare students for further study of mathematics at the college level. All standard Math Analysis/Pre-calculus topics will be presented. Integration of technology, such as the use and programming of graphing calculators, throughout the units will prepare students for participation in a technological society. In-depth study of such topics as the family of functions (e.g. polynomial, rational, exponential, logarithmic, and trigonometric), limits, derivatives, vectors, matrices, sequences, and series will be undertaken.

Course Goals

 

The student will understand and/or be able to use:
  • The advanced topics of algebra
  • Study relations and functions
  • The properties of logarithms and change of base rule to both simplify expressions and solve logarithmic and exponential equations
  • Analytic geometry
  • The definition and application of limits and derivatives
  • The technology to approximate the area under the curve and introduction to the notation of integration
  • All trigonometry functions and their inverses
  • Trigonometry identities and solve trigonometry equations
  • Statistical analysis using the median-median line as well as the regression line
  • The statistics function on the graphing calculator
  • Vectors operations and applications
  • Polar coordinates
  • Rates of change in discrete intervals and limits as instantaneous rates of change
  • Conic sections
  • Parametric equations
  • Matrices and their applications
  • Arithmetic and geometric sequences