大连理工数学科学学院学科是国家基础科学研究和教学人才培养基地。在分析学、代数学和几何学等方向师资力量雄厚。数学科学学院曾成功举办2010年全国天元基金研究生应用数学暑期学校。2013年-2016年举办东北地区天元数学青年教师培训班。 本培训班针对东北及周边地区高等学校数学青年教师开设四门分析、拓扑和几何类课程：函数空间、算子代数、计算拓扑和黎曼几何,并邀请国内外知名数学家就这些领域做系列讲座。这些课程和讲座将介绍学科前沿的基础知识、研究方法、研究动态和研究热点问题，增加青年教师的知识视野、提升研究水平、拓宽研究领域并能进入这些领域的前沿和核心。通过这些课程和讲座学习让教师理解并掌握分析、几何和拓扑类课程，如：实变函数、复变函数、泛函分析、微分方程、拓扑学和微分几何等课程的教学重点、难点，加深对关键基本概念和基本知识的理解，切实提高青年教师教学水平和能力。

School of Mathematical Sciences, Dalian University of Technology, is the base of national basic science research and teaching，and there is a strong faculty in analysis, algebra and geometry etc. School of Mathematical Sciences has successfully held in 2008 National Natural Science Foundation of China Science and technology base: Western mathematics teachers Summer School and in 2010 the national fund of Tianyuan Graduate School of applied mathematics summer school. 2013 -2016 held in Northeast Tianyuan mathematics young teacher training courses. These activities have accumulated rich experience for our project. In this training course, we set up four courses of analysis, topology and geometry for the young teachers of mathematics in the northeast and the surrounding areas: function space, operator algebra, computational topology and Riemann geometry. This course will introduce the basic knowledge and research methods, the frontier research and research hot spots, increasing the young teachers' knowledge, enhance the level of research, broaden the research field and access to the frontier and the core of these areas. Through these courses, teachers should understand and master the analysis, geometry and topology of courses, such as: the real variable function, complex function, functional analysis, differential equations, differential geometry, topology and curriculum, teaching key points and difficulties, deepen their understanding of the basic concepts and basic knowledge, and improve their teaching level.