Fundamentals of Mathematics I

Course Description

A study of the real number system and its subsystems, ancient and modern numeration systems, problem-solving and simple number theory. Includes teaching materials and discussion of today’s professional organizations. This is a content course, not a methods course.

Learning Outcomes

  • Describe historically significant contributions to the development of mathematics.
  • Differentiate between and use inductive and deductive reasoning.
  • Develop a list of problem-solving strategies.
  • Find sums, terms, understand notation for arithmetic, geometric, binary, Fibonacci and power sequences.
  • Understand the concept of function and what is meant by variable, domain, range, rate of change for linear, quadratic, logarithmic, exponential and other functions.
  • Use interpolation and extrapolation.
  • Use scientific notation.
  • Recognize the platonic solids, the semiregular polyhedra, perform elementary constructions, and measurements.
  • Use manipulatives to explain operations.
  • Know the properties of the real number system.

Prerequisites

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