College Mathematics Fundamentals Tutorial (I), Calculus of Univariate Functions: Calculus of Univariate Functions

Author: Wei Guimin
Publisher:
Publish Date: 2004-07-01
Features: The main features are as follows:
(1) While largely maintaining the traditional classic content, it incorporates modern mathematical ideas, concepts, and methods, providing a "window" and "interface" for modern mathematics.
(2) It emphasizes the overall optimization of teaching content and system, making significant adjustments to the original arrangement.
(3) It prioritizes the teaching of mathematical thinking and methods, appropriately de-emphasizing operational skills while focusing on cultivating students' ability to apply mathematical knowledge to solve problems.
(4) It highlights the application of mathematical knowledge and integrates mathematical teaching with computer applications. Through mathematical experiments and applied examples in each chapter, it cultivates students' ability to solve practical problems by establishing mathematical models and applying mathematical software.
(5) It is clear in reasoning, has a complete structural framework, and offers abundant examples and exercises. This book is suitable for non-mathematics majors in science and engineering disciplines of general universities and colleges, as well as for similar programs in other institutions. It is a volume of the National Planning Textbook for Higher Education "Fifteenth Five-Year Plan" titled Fundamentals of University Mathematics, primarily introducing the basic knowledge of calculus for single-variable functions. The content includes four chapters: Functions, Limits, and Continuity, Differential Calculus of Single-Variable Functions, Integral Calculus of Single-Variable Functions, and Ordinary Differential Equations. The last three chapters include applied examples and mathematical experiments, and the end of the book provides answers to exercises. Based on the Basic Requirements for Higher Mathematics Teaching in Engineering Colleges issued by the former State Education Commission and the needs of new-century science and technology talents for mathematical literacy, the textbook incorporates the strengths of excellent domestic and international teaching materials, making significant adjustments to the content and system of traditional higher mathematics textbooks.