Discovery Precalculus: A Creative and Connected Approach

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  • From www.edx.org
More info
  • 15 Sequences
  • Introductive Level
  • Starts on August 31, 2016
  • Ends on April 30, 2017

You can't access an archived course

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Course details

Syllabus

  • How to make conjectures, construct logical arguments, and justify your reasoning
  • The concept of function in mathematics, function characteristics and properties, and rate of change of functions
  • Modeling of common relations and functions such as linear, power, exponential, and logarithmic functions using statistical regression and matrix methods
  • An exploration of algebra and geometry, and the connections between the two in analytic geometry
  • Properties and applications of exponential and logarithmic functions including exponential growth and decay and The Logistic Function
  • The development of the trigonometric functions and identities along with applications of trigonometry
  • Limits and rate of change of functions as a precursor to Calculus
  • Other Coordinates Systems – an investigation of parametrization of the plane and the polar coordinate system along with exploration and use of vectors
  • Sequences and Series including The Method of Induction
  • Basic probability and combinatorics used in an investigation and development of the Binomial Theorem and its connections to Pascal’s Triangle

Prerequisite

None.

Instructors

  • Mark L. Daniels
  • Jeremiah W. Lucas
  • Karen E. Smid

Editor

University of Texas at Austin

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