Calculus (Part 2)

Author: School of Mathematics, Sichuan University
Publisher:
Publish Date: 2002-02-01
Features: The lecture notes of this book were used for 2 years at Sichuan University and is a relatively mature textbook that inherits the advantages of traditional materials while embracing reform spirit. The book has the following features:
1. It organically integrates the cultivation of mathematical literacy into the explanation of basic knowledge, highlighting the fundamental ideas and methods of calculus, enabling students to better understand the internal connections between different parts of the content and grasp the overall methodology of calculus.
2. Following the principle of gradual progression, it appropriately incorporates modern mathematical concepts, promoting the integration of calculus with other mathematical courses and providing some "interfaces" for students to further study modern mathematics.
3. In terms of content selection, it considers the needs of subsequent courses while emphasizing connections to practical applications, covering a broad scope and being widely applicable.
4. The exercises are divided into two categories (A and B), facilitating tiered teaching. The book is published in two volumes, with the second volume mainly including: spatial analytical geometry and vector algebra, multivariable calculus, multiple integrals, line integrals and surface integrals, infinite series, improper integrals and integrals with parameters, ordinary differential equations, and the book provides answers or hints to exercises at the end. This book is suitable for undergraduate students of science and engineering majors as a calculus textbook.