Mathematics Experiment is a new style course of mathematics. Students will study some mathematical principles, theories and applied methods during the process of solving practical problems with help of computer. Great attention is paid to give full play of subjective initiative as well as the ability of comprehensive application. The methodology of case study is preferred in this course. This course is composed in three modules: (1) mathematical software, (2)basic methods of applied mathematics(numerical methods, optimization, etc.),(3)introduction of some new math branches closely related to computer application. Modeling is implicated in each case. The teaching hours are about 32 ,all for lecturing. The contents of lecturing as follows: 1) Basic course of mathematical software including: Basic operations and graphical handling of mathematics, programming by means of software. 2) Introduction of math methods: (1) Computational methods, such as Newton’s method of finding zeros ; numerical methods to solve ODE; Simpson’s formula for numerical integration. The related cases are “How to calculate π”, “Missile tracing”,. (2) Methods in discrete mathematics, such as finite difference equation, simulation, coding, etc. The related cases are “Mortgage loan and other financial problems”, “Adding cipher and extricating for Hill code”. (3) Optimization, such as linear programming, and variation method. The related cases are “Production plan for a factory”. 3) Brief introduction of some math branches, such as chaos, fractal, and financial math. The related cases are “From Malthus model to chaos, population growth”, “Black-Scholes Equation and binary tree method to study stock options”. |