Applied Calculus

Author: Ren Kailong
Publisher:
Publish Date: 2004-06-01
Features: This book is a national-level planning teaching material for general higher education in the "Tenth Five-Year Plan," and one of the main achievements of the research project "Reform and Construction of Teaching Content System for Higher Mathematics in Higher Vocational and Technical Education" under the "New Century Higher Vocational and Technical Education Talent Cultivation Model and Teaching Content System Reform Project Plan" of the Ministry of Education. The content includes functions, limits, continuity, differential calculus and its applications, integral calculus and its applications, differential equations, approximation and series, and an introduction to Mathematica. Thought-provoking questions are carefully arranged at the end of each section to help students further understand the content. Exercises are also provided at the end of each section, and answers to all exercises are appended at the end of the book. This book is written according to the newly formulated basic requirements for teaching higher mathematics in science and engineering disciplines in higher vocational and technical education by the "Research Team." It aims to be concise, easy to understand, and self-study-friendly, adhering to the principle of application-oriented learning. The book includes some interesting examples from daily life to enhance students' interest in learning and their ability to apply mathematical knowledge to solve practical problems. The authors strictly follow the principle of necessity and sufficiency, emphasizing the three basics: "basic concepts, basic ideas, and basic methods." The book strives to help students systematically master mathematical concepts, ideas, and methods while also grasping the fundamental conclusions of mathematics, laying a solid mathematical foundation and developing good mathematical literacy for their future work and study. During the writing process, we have made every effort to make this textbook easy for students to learn and easy for teachers to teach, making it highly practical. It is suitable for use in higher vocational and technical colleges, as well as adult colleges, vocational and technical colleges, and private colleges.