Applied Mathematics for Business, Economics, Life Sciences and Social Sciences

Featuring topics from finance, linear algebra, linear programming and probability, this text emphasizes computational skills, ideas and problem solving. The use of graphing calculators is integrated in optional examples, and the book includes exercises related to technology, illustrations of applications of spreadsheets and sample computer code. Linear programming is tested thoroughly, including applications of simplex, dual, big M, and two-phase methods for utilizing slack, surplus and artificial variables. Several sections are devoted to limits: the limit properties necessary to find derivatives by definition; continuity and graphs; and limits at infinity and infinite limits. The definite integral is introduced as a limit of Riemann sums, following the more traditional development of integration and emphasizing understanding of basic concepts.
Since the previous edition, these changes have occurred: all matrix operations are covered in a single section in chapter 4; one single chapter is devoted to probability; the discussion of Markov chains has expanded to a new chapter, including discussion of absorbing chains; and chapter 15 now concentrates on the relationship between probability and calculus.