Calculus: Single Variable

Calculus: Multivariable

Brian E. Blank and Steven G. Krantz

College

Overview

Blank and Krantz’s Calculus brings together time-tested methods and innovative thinking to address the needs of today’s students, who come from a wide range of backgrounds and look ahead to a variety of futures. Some study the subject because it is required, others because it will widen their career options. Mathematics majors go into law, medicine, genome research, the technology sector, and many other professions. Blank and Krantz’s Calculus strives to empower these students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. Published in two volumes, Calculus: Single Variable and Calculus: Multivariable, this text fits well into most universities’ course sequences for calculus.

Pedagogy

• Clear writing and extensive examples make this book accessible to all students. Blank and Krantz’s engaging style makes the language of mathematics understandable and enjoyable.
• Graphical interpretations and numerical examples reinforce concepts and deepen students’ understanding.
• Essential ideas are showcased with examples to create a seamless link between concepts and applications.

Content and Structure

• Applications to chemistry, biology, medicine, public policy, finance, economics, and other social sciences augment classic applications in physics and engineering.
• The two volumes, Calculus: Single Variable and Calculus: Multivariable, thoroughly cover all topics found in a three-semester sequence, particularly, transcendental functions, vector-valued functions, differential equations, sequences, integration, probability theory, Power series, Taylor polynomials and series, Stokes’s theorem, Green’s theorem, and the Divergence theorem.
• Sprinkled throughout these easy-to-use books, several highlighted features break up the text and pique students’ interest. Highlighted “Insights” provide extra information and answer common questions. “A Look Back” boxes review material, and “A Look Forward” boxes preview material.
• Adding context to the content, “Genesis & Development” explores the history of topics in the chapter and provides biographies of influential mathematicians. This feature brings each chapter to a close.

Technology

• Technology complements and enhances traditional mathematical skills throughout Calculus as students use computer algebra systems (CAS) and graphing calculators.
• Maple™ is used throughout as an exemplary CAS. End-of-section exercise sets can be solved with any CAS or graphing calculator.
• Students explore calculus and sharpen their technology skills with computer modeling and numerical calculations included in the text and exercises.
• Bundle the Student Edition of Maple 11! Contact your Key College Publishing sales representative.

Ancillaries for Instructors:

Instructor Resources: Single Variable and Multivariable

• The two-volume Instructor Resources includes teaching suggestions, sample syllabi, lecture outlines, course pacing, and sample midterms and finals.

Instructor Solutions Manual: Single Variable and Multivariable

• These volumes contain full solutions to all of the text exercises.

Instructor Website includes:

• Content that can be used with WebCT
• PowerPoint® presentations
• Modifiable sample syllabi
• Exercise sets students can complete online
• Testing capabilities included in instructor shell

Ancillaries for Students:

Student Study and Solutions Companion: Single Variable and Multivariable

• Each text volume has a correlated Student Study and Solutions Companion with hints, worked examples, common formulas, and integral tables.
• Review and summary of all key concepts
• Definitions of terms
• Additional worked examples and solutions
• Solutions to Quick Quiz questions from the main text
• Complete worked solutions to all problems with answers in the back of the main text
• The Single Variable volume also includes an algebra review.

Student Website* includes:

• Practice Exercises, Chapter Self-tests, and Guided Quizzes students can complete online
• Interactive History of Calculus with links to biographies about mathematicians and historic events

*A unique student access code is packaged with every new text. Students who buy used books must also purchase an Access Code Package to register.

About the Authors

Brian E. Blank and Steven G. Krantz have a combined experience of over 50 years teaching calculus. They are both award-winning teachers and highly respected writers.

Brian E. Blank received his bachelor’s degree from McGill University in 1975 and doctorate from Cornell University in 1980. He has taught calculus at The University of Texas, the University of Maryland, and Washington University in St. Louis, where he continues to teach the calculus sequence.

Steven G. Krantz received his bachelor’s degree from the University of California at Santa Cruz in 1971 and his doctorate from Princeton University in 1974. He has taught at the University of California at Los Angeles, Pennsylvania State University, Princeton University, and now at Washington University in St. Louis. Krantz has won the Chauvenet Prize, the Beckenbach Book Award, and the Kemper Prize. He has written over 120 research papers and over 45 books, including How to Teach Mathematics and Mathematical Apocrypha.

If you have already adopted this book or are a student who purchased a new text or Access Code Package, you can access your online resources here.

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