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Discovering Mathematics: A Quantitative Reasoning Approach,
1st Edition

Richard Aufmann

ISBN-13: 9780357022610 | ISBN-10: 0357022610

Copyright 2019

| Published 2018

| 700 pages

List Price USD $105.95

Overview

Aufmann’s DISCOVERING MATHEMATICS: A QUANTITATIVE REASONING APPROACH with WebAssign helps you learn mathematics in the context of the world around you. Focusing on topics relevant to your life and developing critical-thinking skills that you can apply beyond the course, this text provides you with exactly what you need for the world around you in an approachable, engaging and streamlined format.

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Meet the Authors

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Richard Aufmann is the lead author of two best-selling Developmental Math series and a best-selling College Algebra and Trigonometry series, as well as several derivative Math texts. Mr. Aufmann taught Math, Computer Science and Physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine, and a Master of Arts degree in Mathematics from California State University, Long Beach.

  • ROBUST DIGITAL. WebAssign--a powerful online instructional solution from Cengage--provides coded projects, instant assessment focused on new and prerequisite skills, practical analytics, a Personal Study Plan and superior support.
  • TAKE NOTE. Useful tips, extensions and explanations to students offer depth and context to concepts without being overwhelming.
  • PROBLEM TYPES. Traditional skill-building problems are reimagined as word problems, providing context to the content and empowering students to practice interpreting and extracting data from sentences.
  • SHORT PROJECTS & INVESTIGATIONS. Perfect for group work and class discussion, these activities guide students on how to navigate and organize their work. Select projects are coded and assignable in WebAssign.
  • EXAMPLES. Practice problems at the beginning of the exercise set tie directly into examples from the preceding section, helping students build skills and preparing them for more robust applications of the material.
  • CHAPTER OPENER. Organized to give students mathematical context for the material they are about to learn, the Chapter Opener provides an at-a-glance preview of the main ideas and topics in a concise, easy-to-navigate way.
  • INSTRUCTOR RESOURCES. Instructor toolkits consisting of lesson plans and support materials equip educators with the resources they need to prepare and teach effectively.
  • NOTE: This title is also available in WebAssign with Corequisite Support that provides the flexibility to match any corequisite implementation model and empowers you to deliver high quality content at the right time for your students at an affordable price.
  • STUDENT ACTIVITIES BOOKLET. This supplement includes crowd-sourced projects contributed by instructors that give students in-depth practice either with a group or on their own.
  • INFOGRAPHICS. An engaging alternative to photos and art in the margins, Infographics combine a visual break in the narrative with illustrated concepts that are purposeful, informative and that take concepts beyond the course.
  • SPREADSHEETS. This text incorporates the use of spreadsheet applications such as Microsoft Excel and Google Sheets to help organize, analyze and draw conclusions from real data.

Table of Contents

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MODULE 1: VALIDITY STUDIES.
1. An Introduction to Problem Solving.
Inductive and Deductive Reasoning. Estimation of Graphs. Problem-Solving Strategies. Fair Division.
2. Sets and Logic.
Sets, Set Operations, and Applications. Categorical Logic. Prepositional Logic. Investigating Fallacies.
3. Proportions and Variation.
Ratios and Rates. Measurement. Proportions. Percent. Variation.
MODULE 2: FINANCIAL LITERACY.
4. Managing Your Finances.
Simple Interest. Compound Interest. Future and Present Value of an Annuity. Credit Cards. Student Loans. Financial Considerations of Car Ownership. Financial Considerations of Home Ownership. Stocks, Bonds, and Mutual Funds.
MODULE 3: MODELING.
5. Linear Functions.
Introduction to Functions. Properties of Linear Functions. Linear Models. Linear Regression and Correlation.
6. Nonlinear Functions.
Exponential Models. Logarithmic Functions. Quadratic Functions.
MODULE 4: OPTIONAL CHAPTERS (AVAILABLE UPON REQUEST. CHECK WITH YOUR CENGAGE LEARNING SALES REPRESENTATIVE.)
7. Introduction to Probability
The Counting Principle. Permutations and Combinations. Probability and Odds. Addition and Complement Rules. Conditional Probability. Expectations.
8. Introduction to Statistics
Measures of Central Tendency. Measures of Dispersion. Measures of Relative Position. Normal Distributions.
9. Voting Apportionment
Introduction to Apportionment. Introduction to Voting. Weighted Voting Systems.
10. Circuits and Networks.
Graphs and Euler Circuits. Weighted Graphs. Planarity and Euler’s Formula. Graph Coloring.
11. Geometry
Measurement. Basic Concepts of Euclidean Geometry. Perimeter and Area of Plane Figures. Volume and Surface Area. Properties of Triangles. Right Triangle Trigonometry. Non-Euclidean Geometry. Fractals.

APPENDICES (AVAILABLE UPON REQUEST. CHECK WITH YOUR CENGAGE LEARNING SALES REPRESENTATIVE).
A: A Review of Integers, Rational Numbers, and Percents
B: Variable Expressions and Equations
C: Review of the Rectangular Coordinates and Graphing

SELECTED ANSWERS
SOLUTIONS TO PRELIMINARY EXERCISES
INDEX

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

Activities Booklet for Liberal Arts Mathematics and Quantitative Reasoning Courses

ISBN13:9780357025628
ISBN10:0357025628
Activities Booklet for Liberal Arts Mathematics and Quantitative Reasoning Courses

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Student Solutions Manual with Notetaking Guide for Aufmann's Discovering Mathematics: A Quantitative Reasoning Approach

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Student Solutions Manual with Notetaking Guide for Discovering Mathematics: A Quantitative Reasoning Approach

Instructor's Toolkit with Complete Solutions Manual for Aufmann's Discovering Mathematics: A Quantitative Reasoning Approach

ISBN13:9780357028292
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Resource manual containing lesson plans, discussion topics, and support for all teaching models. Also contains a complete solutions manual.

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Cengage Testing, Powered by Cognero® is a flexible online system that allows you to author, edit and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom or wherever you want. Available online at login.cengage.com.

Instructor's Website with PowerPoint, Image Library for Aufmann's Discovering Mathematics: A Quantitative Reasoning Approach

ISBN13:9780357028070
ISBN10:0357028074
Microsoft® PowerPoint slides let you incorporate images from the book right into your lectures.

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Pricing Options

Discovering Mathematics

  • ISBN-10: 0357022610
  • ISBN-13: 9780357022610

Price USD$ 105.95

eBook: Discovering Mathematics 12Months

  • ISBN-10: 8000031361
  • ISBN-13: 9788000031361

Price USD$ 48.99

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