中文摘要：

＂随机过程及应用＂是研究生开展后续课题研究和学位论文相关工作的理论基础,该课程是学员由基础课程转入专业课程学习的一个非常重要的桥梁纽带,起到了承上启下的作用。如何通过创新性教学提高研究生专业基础课＂随机过程及应用＂的授课效果是一个非常值得思考和深入探索的问题,论文从＂课程特点与面临的问题＂、＂现有教学方法的反思＂和＂改进举措＂三个方面对该问题进行了分析,并从＂着眼需求,优化课程体系结构＂、＂提炼内容,优化课程授课方式＂和＂教研结合,全面提升教学成效＂三个方面给出了相关建议。

英文摘要：

＂Stochastic process and its application ＂ is the theoretical basis for the research and related work of the graduate students,which is a very important bridge link between the students＇ basic courses and the professional courses. How to improve the effectiveness of ＂stochastic process and its application＂ through innovative teaching is a question worthy of thinking and exploring, which are analyzed in this paper from three aspects as follows： the characteristics and problems of the course,the reflection of the existing teaching methods and the improvement measures. Three suggestions are given,i. e. ＂Optimizing the curriculum architecture based on requirements＂, ＂Refine the curricula by optimizing the content＂ and ＂Combine teaching and research to improve the Innovation＂.