面向高年级硕士和博士研究生开设《函数空间算子理论和算子代数及应用》和《投影谱理论》两门基础课程以及《讨论班课程》。基础课是分析类研究生基础课，重点介绍反映学科前沿的基础知识，强调知识的联系、背景和应用，同时为《讨论班课程》做知识储备。《讨论班课程》介绍研究方法、研究动态和研究热点问题，并就六个专题开展讨论，并增加研究生知识视野、提升研究水平、拓宽研究领域并能进入这些研究领域的前沿和核心。

Two basic courses, Operator Theory and operator algebra in functional spaces and Application, Projective Spectrum Theory and Seminar Course, are offered for senior master and doctoral students. The basic course is a basic course for graduate students majoring in analysis. It focuses on introducing the basic knowledge reflecting the frontier of the subject, emphasizing the connection, background and application of knowledge, and making a knowledge reserve for the "seminar course". The seminar course introduces research methods, research trends and hot issues, and discusses six topics. It also enhances postgraduate knowledge horizons, improves research level, broadens research fields and can enter the forefront and core of these research fields.