Higher Vocational and College Mathematics Textbook

Author: Xie Guorui
Publisher:
Publish Date: 2008-04-24
Features: This book is one of the "National Planning Textbooks for Ordinary Higher Education in the 15th Five-Year Plan," and it is divided into 12 chapters. It provides detailed explanations on systems of linear algebraic equations (elimination method), the compatibility of systems of linear algebraic equations, systems of linear inequalities, an overview of calculus, derivatives, random events and probability, and more. This book can be used as a teaching material for universities and colleges, and also as a reference for professionals engaged in related fields. This book is a National Planning Textbook for Ordinary Higher Education in the 15th Five-Year Plan and also a Higher Vocational and Specialized College Planning Textbook from the Ministry of Education. It is suitable for various majors in higher vocational education, higher specialized education, and adult higher education as a textbook for a weekly 4-hour course on higher mathematics (or economic mathematics) for one semester. The authors have strived to meet the specific requirements of higher mathematics courses for higher vocational and specialized education in their writing, considering the benefits for students' learning and development. The book starts at a lower level and progresses gradually, gradually improving students' mathematical literacy and mathematical intuition. The selection of teaching content in this book aims to be directly useful for students while also laying a solid mathematical foundation for further studies, such as "upgrading to a bachelor's degree" or other pathways for advanced education. In the treatment of the teaching content, the book emphasizes the simplification of mathematical theory, avoids lengthy proofs, and prioritizes the explanation and understanding of basic concepts over calculations. It emphasizes the breadth of mathematical applications over depth and focuses on everyday and economic applications over specialized and theoretical ones. The specific content of the book is as follows:
Part 1: Introduction to Linear Mathematics, including systems of linear algebraic equations, matrices, systems of linear inequalities, and an introduction to linear programming;
Part 2: Overview of Calculus, including functions, derivatives, applications of derivatives, and integration;
Part 3: Preliminary Probability, including events and probability, indirect calculation methods for probability, and random variables.