Applied Mathematics Fundamentals - Calculus (Volume 1) (Fifteen National Project Achievements) (Cross Higher Vocational and

Author: Xuan Lixin
Publisher:
Publish Date: 2004-04-01
Features: This book is a research achievement of the National Planning Project of the 15th Five-Year Plan in Educational Science, and is a nationwide general textbook compiled based on the "Basic Requirements for Teaching Higher Mathematics Courses for Undergraduate Non-Mathematics Majors." The book highlights the practical background of important concepts and the application of theoretical knowledge. The book is published in two volumes. The first volume contains seven chapters: Limits and Continuity of Functions, Derivatives and Differentiation, Mean Value Theorem and Applications of Derivatives, Definite Integrals and Indefinite Integrals, Applications of Definite Integrals, Precise Definition of Limit, and Ordinary Differential Equations. Each section is accompanied by exercises and thought questions, and each chapter ends with a section of comprehensive examples (optional content) to facilitate teachers in tailoring instruction to students' needs. The book includes an appendix that introduces the application of mathematical software packages in each chapter of the first volume, common middle school mathematics formulas, several commonly used curves, integral tables, and answers to exercises and thought questions. Starting from the descriptive definition of limits, the book explores the main content of single-variable calculus. Based on this foundation, it introduces the precise definition of limits. The book is written with clear explanations, making it easy to teach and learn. It is suitable for students in engineering and other non-mathematics majors in higher education institutions that train applied talents, as well as for reference by technical personnel.