Calculus Lecture Notes (First Semester)

Author: Kuang Rongyu
Publisher:
Publish Date: 2005-08-01
Features: This book is divided into four volumes. The first volume is an introduction to single-variable and multivariable calculus; the second volume covers the theory and methods of single-variable calculus; the third volume covers the theory and computation of multivariable calculus. These three volumes can be used as teaching materials or reference books for undergraduate mathematics analysis courses in teaching departments. The last volume is a special volume, containing several topics for optional use in teaching or as extra-curricular reference. This book is written based on the author's experience in summarizing the recent reforms in the undergraduate mathematics analysis course teaching at Beijing Normal University's Department of Mathematics. The author divides the content of the current mathematics analysis course into two stages (first focusing on concepts and computation, then on theory and methods) for teaching, achieving the expected teaching outcomes. Without permission, the solutions to the thought questions and exercises in this book may not be compiled and published. This book is divided into four volumes. The first volume is an introduction to single-variable and multivariable calculus; the second volume covers the theory and methods of single-variable calculus; the third volume covers the theory and computation of multivariable calculus. These three volumes can be used as teaching materials or reference books for undergraduate mathematics analysis courses in teaching departments. The last volume is a special volume, containing several topics for optional use in teaching or as extra-curricular reference. This book is written based on the author's experience in summarizing the recent reforms in the undergraduate mathematics analysis course teaching at Beijing Normal University's Department of Mathematics. The author divides the content of the current mathematics analysis course into two stages (first focusing on concepts and computation, then on theory and methods) for teaching, achieving the expected teaching outcomes. Without permission, the solutions to the thought questions and exercises in this book may not be compiled and published.