Mathematics Department Indiana University of Pennsylvania Indiana, PA 15705 Course Number: MA 101 Course Title: Foundations of Mathematics Credits: 3 semester hours Prerequisites: none Textbook: Option 1: The Nature of Mathematics Smith Brooks/Cole Option 2: Thinking Mathematically Mason Addison-Wesley Supplemental Materials by Instructor Option 3: Mathematical Ideas Miller Scott Foresman Revised: 9/94 Catalog Description:Introduces logic and mathematical way of analyzing problems; develops an appreciation for nature, breadth, and power of mathematics and its role in a technological society and introduces useful mathematics or mathematics related to student interests. Possible topics include logic, problem solving, number theory, linear programming, probability, statistics, intuitive calculus, introduction to computers, mathematics of finance, game theory.
Course Outline/Time Schedule: I.The Nature of Mathematical Thought A.Mathematical Patterns B.Sets C.Functions II.Logic A.Operations on Statements B.Valid Arguments C.Methods of Proof III.Mathematical Systems A.Axions, Postulates, Theorems B.Natural Numbers, Integers, Rationals C.Modular Arithmetic D.Groups IV.Probability A.Definitions B.Conditional Probability C.Expectation V.The Nature of Computers A.History B.Basic C.Communicating with a computer D.Loops VI.The Nature of Number Theory A.Prime Numbers B.Divisibility C.Prime Factorization VII.Statistics A. Mathematical Systems
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