Ordinary Differential Equations Graduate Teaching Plan (Second Edition)

Author: Dou Jihong
Publisher:
Publish Date: 2006-01-01
Features: This book is a reference for postgraduate entrance examination. It is divided into two parts. Part 1 consists of seven chapters, including Introduction, Elementary Methods for First-Order Differential Equations, Existence Theorem of Angles for First-Order Differential Equations, Higher-Order Differential Equations, Linear Differential Equations, Nonlinear Differential Equations and Stability, and First-Order Linear Partial Differential Equations. Each chapter is composed of four sections: "Knowledge Framework Diagram," "Key Points," "Key Point Interpretation," and "Course Examination, Postgraduate Entrance Examination Key Points." It also includes typical examples and selected exercises with detailed solutions. The purpose is to address the difficulties and common errors students encounter during their studies, as well as typical examples and questions frequently seen in mathematics major and general postgraduate entrance examinations. Through the analysis and solutions of typical examples and selected exercises, students are guided to understand the fundamental theories and ideas of the course, master problem-solving methods and skills, and improve their comprehensive abilities in analyzing and solving problems. Part 2 consists of course examination questions and postgraduate entrance examination questions with detailed solutions. By taking this part of the test, readers can comprehensively assess their learning level and identify gaps, thereby further clarifying their efforts and achieving ideal results in postgraduate entrance examinations and course assessments.