CLP-1 Differential Calculus is an introductory calculus textbook designed for students who are just starting their journey into calculus. The book covers the basics of differential calculus, which is the study of how things change.
The book starts by introducing the concept of limits, which is a fundamental concept in calculus. Limits are used to determine the behavior of a function as it approaches a certain value. The book explains how to calculate limits using algebraic techniques and graphing. It then goes on to discuss the derivative, which is the main focus of differential calculus.
The derivative is a measure of how much a function changes at a certain point. The book explains how to find the derivative of a function using the limit definition, as well as more advanced techniques like the power rule, product rule, quotient rule, and chain rule. The book also covers applications of the derivative, including optimization problems, related rates, and curve sketching.
In addition to the core topics of limits and derivatives, CLP-1 Differential Calculus also covers some other important topics in calculus. These include implicit differentiation, logarithmic differentiation, and the mean value theorem. The book also includes plenty of exercises and examples to help students master the material.
One of the strengths of CLP-1 Differential Calculus is its approachable writing style. The authors, James Stewart and Saleem Watson, are both experienced mathematics educators, and they have crafted a textbook that is both rigorous and engaging. The book is also visually appealing, with plenty of diagrams and illustrations to help students understand the concepts.
Overall, CLP-1 Differential Calculus is an excellent choice for anyone looking to learn calculus for the first time. Whether you are a high school student preparing for college, or a college student taking your first calculus course, this book will give you a solid foundation in the subject.