First Semester Calculus for Students of Mathematics and Related Disciplines equips students with a strong working knowledge of the fundamental principles of calculus, providing an engaging and accessible entry point into this critical field of study. It prepares students for more advanced courses in calculus and also helps them understand how to apply basic principles of calculus to solve problems within a wide range of disciplines, including business, biology, engineering, science, liberal arts and, of course, mathematics. The text employs rigorous treatment of early calculus topics and detailed explanations to facilitate deeper understanding of later material. Over the course of five chapters, students learn about symbolic logic, continuity and limits, derivatives, antiderivatives, and applications of each. Throughout, students are provided with rich guidance and copious opportunities to deepen their personal understanding of the subject matter. In the second edition, a more efficient layout better highlights major theorems and definitions. Additionally, over 300 new exercises have been added to further aid student learning. Highly readable and innovative, yet pedagogically solid and very applicable, First Semester Calculus for Students of Mathematics and Related Disciplines is an ideal resource for a variety of courses that apply concepts of calculus to solve mathematical and real-world problems.

First Semester Calculus for Students of Mathematics and Related Disciplines equips students with a working knowledge of the fundamental principles of calculus. The book provides an engaging and accessible entry point into a critical field of study. It prepares students for more advanced courses in calculus and also helps them understand how to apply basic principles of calculus to solve problems within a wide range of disciplines, including business, biology, engineering, science, liberal arts, and mathematics. The text employs rigorous treatment of early calculus topics and detailed explanations to facilitate greater understanding and connection with the material. Over the course of five chapters, students learn about symbolic logic, continuity and limits, derivatives, mathematical and real-world applications of derivatives, and antiderivatives and their applications. Throughout, students are provided with rich guidance and copious opportunities to deepen their personal understanding of the subject matter. Highly readable and applicable, First Semester Calculus for Students of Mathematics and Related Disciplines is an ideal resource for a variety of courses that apply concepts of calculus to solve mathematical and real-world problems.

Freshman and sophomore life sciences students respond well to the modeling approach to calculus, difference equations, and differential equations presented in this book. Examples of population dynamics, pharmacokinetics, and biologically relevant physical processes are introduced in Chapter 1, and these and other life sciences topics are developed throughout the text. The students should have studied algebra, geometry, and trigonometry, but may be life sciences students because they have not enjoyed their previous mathematics courses.

Workshop Calculus: Guided Exploration with Review integrates a review of basic pre-calculus concepts with the study of concepts encountered in a traditional first semester calculus course - functions, limits, derivatives, integrals, and an introduction to integration techniques. This two-course sequence is designed for students who are not prepared to enter Calculus I, but who need to develop mathematical skills for further study in the social sciences, natural sciences, or mathematics. The primary goal of the course is to help students develop firm conceptual understandings of the fundamental ideas in calculus, thereby enabling them to use calculus in other disciplines. Essential elements of Workshop Calculus include the emphasis on applications to enhance student motivation and the use of computers amd graphing calculators to help explore mathematical ideas.

The movement to change the nature of the calculus course at the undergraduate and secondary levels has sparked discussion and controversy in ways as diverse as the actual changes. The first years of the calculus reform movement were characterized by a whirlwind of ideas concerning the organization of the course and the associated curriculum. The papers contained within Calculus Renewal: Issues for Undergraduate Mathematics Education in the Next Decade will spark a renewed interest in the endeavor embarked upon over 10 years ago when the first calculus grants were awarded by the National Science Foundation (NSF). This book intends to address: relating mathematics to other disciplines; determining the appropriate mathematical skill for students exiting first-year collegiate mathematics courses; determining the appropriate role of technology; determining the appropriate role of administrators in the change process; and evaluating the progress and impact of curricular change.