Calculus For Biology And Medicine 3rd Edition Pdf
Calculus is considered to be one of the most important branches of mathematics, and it has a wide range of applications in different fields. One of the fields in which calculus plays a crucial role is biology and medicine. The third edition of the Calculus for Biology and Medicine textbook is a comprehensive guide that covers all the essential topics related to calculus and its applications in biology and medicine. In this article, we will provide an in-depth review of this book and its contents.
Overview Of The Book
The Calculus for Biology and Medicine textbook is authored by Claudia Neuhauser, who is a professor of mathematics at the University of Minnesota. The book is published by Pearson and is available in both hardcover and digital formats. The third edition of the book was published in 2018 and is an updated version of the previous editions.
The book is divided into 24 chapters, and each chapter covers a specific topic related to calculus and its applications in biology and medicine. The first few chapters of the book cover the basics of calculus, such as limits, derivatives, integrals, and differential equations. The later chapters of the book focus on the more advanced topics, such as multiple integrals, partial derivatives, and vector calculus.
The book also includes numerous examples and applications that demonstrate how calculus is used in different fields of biology and medicine. The examples range from simple problems to complex ones, and they are designed to help students understand how calculus can be applied to real-life situations.
The book also comes with online resources, such as quizzes, practice problems, and video lectures. These resources are designed to help students reinforce their understanding of the material covered in the book.
Overall, the Calculus for Biology and Medicine textbook is a comprehensive guide that covers all the essential topics related to calculus and its applications in biology and medicine.
Contents Of The Book
The Calculus for Biology and Medicine textbook covers a wide range of topics related to calculus and its applications in biology and medicine. Here is a brief overview of the contents of the book:
Chapter 1: Functions And Models
This chapter covers the basics of functions, including linear, polynomial, exponential, and logarithmic functions. It also covers the concept of a model and how it can be used to describe real-life phenomena.
Chapter 2: Limits And Derivatives
This chapter covers the concept of a limit and how it can be used to find the derivative of a function. It also covers the rules of differentiation and the applications of derivatives in biology and medicine.
Chapter 3: Additional Applications Of Derivatives
This chapter covers the applications of derivatives in optimization problems, such as maximizing or minimizing a function. It also covers related rates problems, where the rate of change of one variable is related to the rate of change of another variable.
Chapter 4: Integrals
This chapter covers the concept of an integral and how it can be used to find the area under a curve. It also covers the rules of integration and the applications of integrals in biology and medicine.
Chapter 5: Additional Applications Of Integrals
This chapter covers the applications of integrals in finding the volumes of solids of revolution and in calculating work done by a force.
Chapter 6: Differential Equations
This chapter covers the basics of differential equations and their applications in biology and medicine. It also covers the solutions of differential equations and their stability.
Chapter 7: Applications Of Differential Equations
This chapter covers the applications of differential equations in modeling population growth, drug distribution, and other biological phenomena.
Chapter 8: Integration Techniques, L'Hopital's Rule, And Improper Integrals
This chapter covers the techniques of integration, such as integration by substitution, integration by parts, and partial fractions. It also covers L'Hopital's rule and improper integrals.
Chapter 9: Infinite Series
This chapter covers the concept of an infinite series and how it can be used to approximate functions. It also covers the convergence and divergence of infinite series.
Chapter 10: Parametric Equations And Polar Coordinates
This chapter covers the concept of parametric equations and how they can be used to describe curves. It also covers the polar coordinates and their applications in biology and medicine.
Chapter 11: Vectors And The Geometry Of Space
This chapter covers the basics of vectors and their applications in biology and medicine. It also covers the geometry of space, such as lines, planes, and surfaces.
Chapter 12: Vector-Valued Functions
This chapter covers the concept of a vector-valued function and how it can be used to describe curves in space. It also covers the derivatives and integrals of vector-valued functions.
Chapter 13: Partial Derivatives
This chapter covers the concept of a partial derivative and how it can be used to find the rate of change of a function with respect to one of its variables. It also covers the second-order partial derivatives and their applications in biology and medicine.
Chapter 14: Multiple Integrals
This chapter covers the concept of a multiple integral and how it can be used to find the volume of a region in space. It also covers the applications of multiple integrals in biology and medicine.
Chapter 15: Vector Analysis
This chapter covers the concept of a vector field and how it can be used to describe physical phenomena. It also covers the divergence, curl, and line integrals of vector fields.
Chapter 16: Differential Equations Of Vector Fields
This chapter covers the applications of vector fields in modeling physical phenomena, such as fluid flow and electromagnetic fields. It also covers the solutions of differential equations of vector fields.
Conclusion
The Calculus for Biology and Medicine textbook is a comprehensive guide that covers all the essential topics related to calculus and its applications in biology and medicine. The book is authored by Claudia Neuhauser and is published by Pearson. The book covers a wide range of topics related to calculus, including limits, derivatives, integrals, differential equations, and vector calculus. The book also includes numerous examples and applications that demonstrate how calculus is used in different fields of biology and medicine. The book is an excellent resource for students and professionals who want to learn calculus and its applications in biology and medicine.