Advanced Mathematics Syllabus (B): ... This course mainly studies the calculus of univariate functions and multivariate functions, as well as the main contents of infinite series and ordinary differential equations, which is the necessary mathematical foundation for further study of professional knowledge. In order to adapt to the characteristics and requirements of geography, environmental science and other majors, the following principles should be followed in using this outline: emphasizing the practical significance of basic concepts rather than pursuing the abstraction of concepts; Emphasize the practical application of basic theory, rather than pursuing the completeness of theory; Emphasis on the practical operation of basic calculation methods, rather than the pursuit of calculation skills.

Recommended teaching materials:

1. Xiao Shutie, editor-in-chief, Unary Calculus, Higher Education Press, July 2000.

2. Xiao Shutie, editor-in-chief, Multivariate Calculus and Its Application, Higher Education Press, May 2000.

3. Department of Applied Mathematics, Tongji University, Calculus (Volume I), Higher Education Press,1999 September.

4. Department of Applied Mathematics, Tongji University, Calculus (Volume II), Higher Education Press, June 2000, 5438+ 10.

5. Xuan Lixin, editor-in-chief, Advanced Mathematics (1), Higher Education Press,1999 September.

6. Xuan Lixin, editor-in-chief, Advanced Mathematics (1), Higher Education Press,1999 September.

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