Ordinary Differential Equations - Graduate Entrance Exam Teaching Plan (Second Edition)

Author: Dou Jihong
Publisher:
Publish Date: 2006-05-01
Features: This book is a reference for postgraduate entrance examination preparation. The entire book is divided into two parts. Part 1 consists of seven chapters, including Introduction, Elementary Methods for Solving 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." Additionally, it includes typical examples and selected exercises with detailed solutions. The purpose is to address the difficult problems students encounter during their studies, common errors, and typical examples often seen in postgraduate entrance examinations for mathematics majors and mathematics. 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 techniques, and improve their comprehensive abilities in analyzing and solving problems. Part 2 consists of course examination questions and postgraduate entrance examination questions, along with their detailed solutions. By taking this part of the test, readers can comprehensively assess their learning level and identify gaps, allowing them to further clarify their efforts and achieve ideal results in postgraduate entrance examinations and course assessments.