微積分(偏理工)

●New and updated real-world biological applications and models appear in numerous new examples and exercises.
●A new Case Study on modeling infectious diseases and their vaccination evolution draws on functions, limits, optimization, differential equations, statistics and data analysis.
●New coverage includes differential equations as models of biological systems, introductory material on data science/machine learning and numerical methods of integration.
●New WebAssign problem types include Expanded Problems with multiple steps and Explore It exercises with interactive learning modules that develop conceptual understanding.

●Biological background for each application is given, and actual data concerning biological phenomena is used to introduce, motivate and illustrate the concepts of calculus.
●Graded exercise sets progress from basic conceptual exercises and skill-development problems to more challenging problems involving applications and proofs.
●Conceptual homework exercise sets offer a variety of problem types, including requests to explain the meanings of the basic concepts of the section.
●Engaging projects such as “Drug Resistance in Malaria” and “Flapping and Gliding of Birds” provide active learning opportunities for students individually or in groups.

The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He conducted research at the University of London and was influenced by the famous mathematician, George Polya, at Stanford University. Dr. Stewart most recently served as a professor of mathematics at McMaster University and the University of Toronto. His research focused on harmonic analysis. Dr. Stewart authored the best-selling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of successful precalculus texts and college algebra and trigonometry texts.

Troy Day received the M.S. degree in biology from the University of British Columbia and the Ph.D. in mathematics from Queen’s University. His first academic position was at the University of Toronto before being recruited back to Queen’s University as a Canada Research Chair in Mathematical Biology. He is currently Professor of Mathematics and Statistics and Professor of Biology. His research group works in areas ranging from applied mathematics to experimental biology. Day is also co-author of the widely used book, "A Biologist’s Guide to Mathematical Modeling," published by Princeton University Press in 2007.

Chapter 1: Functions And Sequences.
Chapter 2: Limits.
Chapter 3: Derivatives.
Chapter 4: Applications And Derivatives.
Chapter 5: Integrals.
Chapter 6: Applications Of Integrals.
Chapter 7: Differential Equations.
Chapter 8: Vectors And Matrix Models.
Chapter 9: Multivariate Calculus.
Chapter 10: Probability.
Chapter 11: Data Analysis: Exploration, Prediction, And Inference.