Advanced Mathematics. Volume 1

Author: Hubei Provincial Department of Education Group
Publisher:
Publish Date: 2004-06-01
Features: This textbook primarily embodies the following characteristics:
First, it pays attention to the connection with high school mathematics knowledge, strengthening the teaching of power functions, exponential functions, logarithmic functions, and trigonometric functions. It also includes a concise table of elementary mathematics formulas at the back of the book for students to review and self-study. For the theorems, propositions, and corollaries involved in the book, it neither pursues detailed proofs nor compromises the rigor of mathematical theory.
Second, it focuses on integrating the concept of mathematical modeling into teaching, enhancing the connection with practical applications, enabling students to flexibly apply mathematical knowledge to solve real-world problems and thereby improving their innovative abilities. This will help them better serve the construction of a socialist motherland in the future.
Third, it emphasizes incorporating new teaching methods and educational philosophies into teaching practice. It uses mathematical software for calculations and lists Mathematica software and its usage in the appendix, helping students master modern computer technology. Teachers are encouraged to reform teaching methods and use modern multimedia technology for instruction, thereby improving teaching quality.