MATH1006 Exam 1 Study Guide
MATH1006 Exam 1 Study Guide MATH1006
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This 1 page Study Guide was uploaded by mitchj9 Notetaker on Wednesday September 7, 2016. The Study Guide belongs to MATH1006 at University of Cincinnati taught by Sandra Loy in Fall 2016. Since its upload, it has received 41 views. For similar materials see Math Reasoning in Math at University of Cincinnati.
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Date Created: 09/07/16
MATH1006- Math Reasoning CHAPTER 1 Midterm Study Guide Chapter 1.1 – Inductive and Deductive Reasoning • Inductive Reasoning (Induction) – process of arriving at a general conclusion based on observation of specific examples - We can never be absolutely sure that conclusions are true so they are called conjectures or hypotheses - Counterexample- one case where conjecture does not hold ture - Strong inductive argument – process of proving a specific conclusion from one or more general statements - Theorem- conclusion that is proved true by deductive reasoning Chapter 1.2 – Estimations, Graphing, and Mathematical Models • Estimation- the process of arriving at an approximate answer to a question • Rounding whole numbers 1. Look at the digit to the right of the digit where the rounding is to occur 2. If it is 5 or greater, add 1 to the digit to be rounded. If it is less than 5, keep the digit the same • Formula – statement of equality that uses letters to represent a relationship between 2 or more variables • Mathematical Model – the process of finding formulas to describe real world phenomena • Model Breakdown – when a mathematical model gives an estimate that is not a good approximation or is extended to include values of the variable that do not make sense Chapter 1.3 – Problem Solving (Polya’s Method) • Polya’s four steps in problem solving 1. Understand the problem 2. Devise a plan 3. Carry out plan and solve the problem 4. Look back and check answers
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