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College English writing, as one of the most important skills of college English teaching and learning, can reveal the English comprehensive level of learners. The development of computer and Internet creates conditions for college English teaching reform. This paper explores what influence will be caused when students write autonomously under the network environment and probes into a new method of college English writing teaching through studying autonomous learning mode of college English writing based on constructivism.

In recent years, constructivism has been welcomed by the academia for it emphasizes on students applying initiative learning and self-construction. The kernel of content-rich constructivism study can be generalized as students-centered and emphasizing on initiative employment, initiative discovery and initiative constructing the meaning of what students have learned. As for the current teaching and learning of college English writing, it is imperative to use network technology in writing teaching. Therefore, this paper probes into a mode of network English writing teaching and learning on the basis of constructivism in order to realize the writing teaching and learning reform and improve the self-construction of students’ writing knowledge and writing level.

With the development of Web-based Intelligent Learning System in the information society, we should pay attention to its usage in autonomous English learning. At first, this thesis shows the basic knowledge of Artificial Intelligence and discusses the feasibility of combining Artificial Intelligence with Web-based Intelligent English self-learning system. Second, it analyzes the combination of Expert system with Web-based Intelligent English self-learning system. Finally, it probes into that this new system will promote the revolutionary of the English self-learning mode.

This thesis researches mathematical models and optimization problems of solar photovoltaic cells. According to the defined priority, the arrays of photovoltaic cells on every wall are given. The thesis then identifies the optimal inclination and the optimal direction angle with the help of spherical coordinate system, thereby further optimizing the model. Meanwhile, according to the given data of the problem B of China Undergraduates Mathematical Contest of Higher Education Cup in 2012, the thesis demonstrates example analysis of optimization model of solar photovoltaic architecture.