Calculus : brief summary and exercises. Part 1

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Almaty, Suleyman demirel university - 2005


Abstract. The "Calculus: Theory and Practice" course is a comprehensive introduction to the fundamental branch of mathematics known as calculus. This abstract provides an overview of the course's key components, which include both theoretical concepts and practical exercises. The course begins by presenting the core principles of calculus, starting with the concept of limits, derivatives, and integrals. Students will delve into the mathematical foundations that underpin this discipline, understanding how calculus provides the tools to analyze and describe the behavior of functions, curves, and change itself. In the practical aspect of the course, students will engage in a wide range of exercises and problems that require them to apply calculus techniques to real-world scenarios. These exercises will cover differentiation, integration, optimization, and related rates, among other topics. Through these exercises, students will develop critical problem-solving skills and gain the ability to model and solve complex, dynamic situations.


Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.


function, integrals, differentiation, limits, optimization


Nartova D.S. / Calculus : brief summary and exercises. Part 1 / Almaty, Suleyman demirel university - 2005