Theory and Problems of College Mathematics

Abstract

In the Third Edition of College Mathematics, I have maintained the point-of-view of the first two editions.Students who are engaged in learning mathematics in the mathematical range from algebra to calculus will find virtually all major topics from those curricula in this text.However, a substantial number of important changes have been made in this edition.First, there is more of an emphasis now on topics in discrete mathematics.Second, the graphing calculator is introduced as an important problemsolving tool.Third, material related to manual and tabular computations of logarithms has been removed, and replaced with material that is calculator-based.Fourth, all material related to the concepts of locus has been modernized.Fifth, tables and graphs have been changed to reflect current curriculum and teaching methods.Sixth, all material related to the conic sections has been substantially changed and modernized. Additionally, much of the rest of the material in the third edition has been changed to reflect current classroom methods and pedagogy, and mathematical modeling is introduced as a problem-solving tool. Notation has been changed as well when necessary.