Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society.With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, " How does mathematics help us to better our society and understand the world around us?" and " What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter.The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to: . Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement. . Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines.
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Craig Johnson received his B.S. from the University of Illinois and his Ph.D. from Purdue University, both in mathematics. After several years in the aerospace industry as a systems analyst, he has taught mathematics and astronomy at the College of the Sequoias in California (8 years) and at Marywood University in Scranton, PA (19 years) where he was the department chair from 1997 to 2011. He was a visiting professor at Cornell University in 2005-2006. Topics of his published articles include algebraic topology and connections between mathematics and music. He greatly enjoyed being advisor to the Marywood Student Math Club for many years.
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