"Scientific Computing and Mathematical Modeling" is a basic course for all science and engineering majors in Central South University, with 64 credit hours and 4 credits. This course is based on mathematical modeling ideas and methods, organically integrated into the theory and methods of scientific computing. It is a new course integrating scientific computing methods, modern mathematics, computer technology and practical problem solving. It adopts research teaching and exploration. The teaching model of combination of type learning mainly teaches mathematical modeling ideas and scientific calculation methods. In the teaching process, taking practical problems as the background, adopting case teaching methods, infiltrating mathematical modeling ideas, introducing mathematical modeling steps and methods, establishing mathematical models to describe practical problems, and introducing basic knowledge of scientific computing with the solution of the models General methods; main contents include: basic concepts and interrelationships of mathematical modeling and scientific computing methods, error analysis theory, function interpolation and fitting methods, numerical integration methods, equation solving numerical methods, AHP modeling, comprehensive evaluation, Time series analysis, statistical analysis and prediction methods, mathematical modeling case analysis, etc.
The "Scientific Computing and Mathematical Modeling" curriculum emphasizes practical application, puts students first, highlights experimental and practical teaching links, realizes the combination of extracurricular and extracurricular, and attaches importance to the cultivation of students' independent learning ability, innovative ability and extracurricular practical ability, content The organization fully considers the students 'mathematics foundation, and at the same time deepens and expands students' mathematical knowledge, which can be applied to the requirements of various levels of different majors.
Teaching objectives
One of the important goals of the course teaching is to improve students' ability to apply mathematical knowledge to solve practical problems, comprehensively train students to use mathematical tools to build mathematical models, and apply scientific calculation methods to solve practical problems. The scientific computing ability, mathematical modeling ability and scientific research paper writing ability, cultivate the ability to engage in modern scientific research activities and related qualities.
