Twenty Key Ideas in Beginning Calculus by Dan Umbarger
(B & W)

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Twenty Key Ideas in Beginning Calculus is a b & w 174 page book written by a high school mathematics teacher who learned how to sequence and present ideas over a 30-year career of teaching grade school mathematics. It is intended to serve as a bridge for beginning calculus students to study independently in preparation for a traditional calculus curriculum or as supplemental material for students who are currently in a calculus class. It is highly visual with 40 supportive images, 100+ cartoons and other illustrations, 110 graphs, and 40+ data tables spread throughout its 174 pages. Comprehension and understanding of ideas is emphasized over symbol manipulation although the latter is covered. The main text, Chapters 1-14, teaches "intuitive calculus," while the appendices contain "traditional calculus" proofs allowing the reader to customize their learning experience according to their ability and interest for rigor. When appropriate, the reader is referred to correlative interactive applets that can be used to supplement the text.

About Dan Umbarger

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Dan Umbarger was born in 1948 and taught different levels of mathematics and computer science for over 30 years... mostly in the Dallas, Tx. area. He is married and the proud father of three children: Jimmy, Terri, and Keelan. Dr. John Morris is president of the Institute for Creation Research. He received his Doctorate in Geological Engineering at the University of Oklahoma. He held the position of Professor of Geology before being appointed President in 1996. He currently travels and speaks on the topic of creation science.
Published January 16, 2012 by Math Logarithms. 176 pages
Genres: Science & Math.

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While the book’s layout seems most conducive to students preparing to enter calculus, it also includes helpful hints for instructors who may have become so familiar with the ins, outs and overview of calculus that they have difficulty seeing it from the perspective of a student new to the subject.

Feb 14 2012 | Read Full Review of Twenty Key Ideas in Beginning...

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