The report on the mathematical experiment of Nanjing University of Posts and Telecommunications aims to introduce the basic situation, experimental contents, experimental results and personal feelings of the college's mathematical experiment. In this paper, theoretical analysis and experimental results are given to help readers better understand the experiment.
The basic situation of the experiment
This experiment is a mathematical computer experiment in the School of Mathematics, which is mainly conducted by computer simulation. The experimental site is B325, Computer Building, Nanjing University of Posts and Telecommunications. The experimental teacher of the College of Mathematics leads the students to experiment. The experiment is mainly divided into two parts, the first part is the basic computer operation and program output, and the second part is the concrete mathematical experiment, including interpolation method, differential equation difference method, Monte Carlo method and so on.
Experimental content
In the first part, students practice basic programming operations through computers, such as writing and outputting "helloworld", calculating simple addition, subtraction, multiplication and division, and using loops. In the second part, students will write a program to simulate the experimental operation according to the math problems provided by the teacher. The experimental contents include: univariate polynomial interpolation, polynomial least square fitting, solving first-order differential equation, and calculating circular area by Monte Carlo method.
experimental result
The experimental results are positive, and students have obtained the same or even better experimental results as the actual operation through computer simulation experiments. In addition, the students summarized the experiment and sorted out the problems encountered in the experiment to make the problems clearer.
Personal feeling
Through this experiment, I deeply understand the consistency between theory and practice. When we use programming language to realize the mathematical algorithms we have learned, we can understand and use the real meaning only by knowing how they are applied to practical mathematical problems. In this experiment, I deeply realized the unique contribution of computers to mathematical problems, and at the same time I felt my consolidation of theoretical knowledge. I believe that through this experimental exercise, we will enhance our understanding and application of computers and mathematics, as well as our ability to find and solve problems.