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2019 春季 代数拓扑

课程信息

习题

  • 3月13日交,选做2题: Chapter 0: 4, 11, 13, 15, 23, 26
  • 3月27日交,选做2题:
    Section 1.1: 14, 15, 16 (f);
    Section 1.2: 6, 7, 8, 14, 19,20, 21;
    Section 1.3: 8, 9, 18, 26, 28, 32

    • 4月17日交, 选做3题:
      Section 2.1: 4, 9, 28, 29, 31
    • 5月29日交, 选做3题:
      Section 3.1: 5, 7, 8, 9
      Section 3.2: 2, 9, 10, 11, 15

期中题目

以下三组题中选做一组, 5月8日交

Section 1.2: 20, Section 2.1: 20, 21, Section 2.2: 26
Section 1.2: 21, Section 2.1: 17 (a), Section 2.2: 36
Section 1.3: 28, Section 2.1: 17 (b), Section 2.2: 40, 42

2019-春季 大学医科数学(A类)[MA093]

课程信息

  • 时间: 星期三 第3节--第4节(10:00 AM - 11:40AM)、星期五 第1节--第2节(8:00AM - 9:40AM)
  • 地点: 东上院201 (1-16周)
  • 课本: 李铮、咸进国(主编),高等数学(生农医药版),上海交通大学出版社,2017

分数比例

平时:10, 期中:30,期末:60

期中考试

  • 时间: 2019-04-24 (第9周星期三) 13:10-15:10
  • 地点: 东中院3-104/105

课件(ppt)

附件

一些Cocalc笔记本:
* Sage演示
* 例 5.1.5 的函数图像

习题

  • 3月8号交, 习题5: 1.2, 2.3, 3.2, 4.2, 5.3, 6, 7.3, 7.4
  • 3月15号交, 习题5: 10, 12.2, 13, 16, 18, 19.1, 20.3, 21
  • 3月22号交, 习题5: 23, 24.1, 25, 26
  • 3月29号交, 习题5: 27.1, 29.2 ,30.3, 31.2, 31.3, 33
  • 4月3号交, 习题6: 1, 5, 7, 8
  • 4月19号交, 习题6: 12, 14, 17, 19, 20, 22, 23, 24, 25
  • 4月26号交, 习题6: 29, 30, 32, 34, 36, 39
  • 5月5号, 不交作业
  • 5月10号,习题6: 40, 44, 45, 46, 47
  • 5月17号交,习题6: 48, 49, 50,习题7: 1.(2), 2.(1),(2)(4)
  • 5月24号交, 习题7: 3.(2), 4, 9,10, 11,12
  • 5月31号交, 习题7: 13, 14.(2), 15.(1), 18, 19
  • 6月12号交(第16周 周三) , 习题7: 23, 24.(2), 25.(4), 26, 27.(2)

2018-春季 大学医科数学(A类)[MA093]

课程信息

  • 时间: 星期一 第1节--第2节(8:00AM-9:40AM)、星期三 第3节--第4节(10:00AM-11:40AM)
  • 地点: 中院413 (1-16周)
  • 课本: 李铮、咸进国(主编),高等数学(生农医药版),上海交通大学出版社,2017

课件(ppt)

附件

一些Cocalc笔记本:
* Sage演示

习题

  • 3月7号交, 习题5: 1.2, 3.2, 4.2, 6, 7.4, 10, 18, 20.3, 21.
  • 3月14号交, 习题5: 25, 26, 27.1, 29,30.
  • 3月21号交, 习题5: 31, 33
  • 3月28号交, 习题6: 1, 5, 7, 8
  • 4月4号交, 习题6: 9, 10, 12, 13, 16
  • 4月11号交, 习题6: 17, 18, 19, 20, 22, 23, 24, 25
  • 4月18号交, 习题6: 26, 27, 28, 29, 30, 32, 36
  • 4月25号, 不交作业
  • 5月2号交, 习题6: 33, 34, 39, 40
  • 5月9号, 不交作业
  • 5月16号交, 习题6: 44, 45, 46, 47
  • 5月23号交, 习题6: 48, 49, 50
  • 5月30号交, 习题7: 1.(2), 2.(1),(2)(4), 3.(2), 4
  • 6月6号交, 习题7: 10, 12, 14.(2), 15.(1), 18, 19
  • 6月13号交, 习题7: 23, 24.(2), 25.(4), 26, 27.(2)

2017-Spring Springer theory

For 2017 Spring semester, from 21-Mar 2017 to 27-June 2017, the time and venue are as the following:
Time: Tuesday noon 12:00-13:30. (the time slot is updated) 
Venue: School of Mathematics SJTU, Room-1106.

TimeVenueTitle/Abstract
Mar 21, 2017,
18:30-20:00
Room-1106Introduction to Springer theory
This is the first talk of my proposed seminar on Weyl group, Springer theory, Hecke algebra and related topics. As an orientation, I will first explain the content of Springer correspondence. Then I will briefly review the basic idea of the constructions of the Springer correspondence. In the end, I will discuss some relationships of the Springer theory with other fields, such as combinatorics and representation theory of reductive groups. If time permits, I will also discuss the generalized Springer correspondence.
Mar 28, 2017Canceled
April 4, 2017Canceled due to Qingming Festival
April 11, 2017,
12:00-13:30
Room-1106A proof of Springer correspondence by Chriss-Ginzburg, (I)
I will present a proof of the Springer correspondence following Chriss-Ginzburg's book "Representation Theory and Complex Geometry" in the next two or three talks. In this talk, I plan to discuss the geometry of the flag variety and the Steinberg variety.
April 18, 2017,
12:00-13:30
Room-1106
Continue the discussion on Ghriss-Ginzburg's book.
April 25, 2017,
12:00-13:30
Room-1106
Continue the discussion on Ghriss-Ginzburg's book.
May 2 , 2017,
12:00-13:30
Canceled
May 9 , 2017,
12:00-13:30
Room-1106Discussion on Ghriss-Ginzburg's book: Borel-Moore homology
May 16 , 2017,
12:00-13:30
Room-1106Discussion on Ghriss-Ginzburg's book: Borel-Moore homology
May 23 , 2017,
12:00-13:30
Room-1106Discussion on Ghriss-Ginzburg's book.
May 30 , 2017,
12:00-13:30
Canceled due to Duanwu Festival(Dragon Boat Festival)
Jun 6 , 2017,
12:00-13:30
Discussion on Ghriss-Ginzburg's book.
Jun 13 , 2017,
12:00-13:30
Discussion on Ghriss-Ginzburg's book.
Jun 20 , 2017,
12:00-13:30
Discussion on Ghriss-Ginzburg's book. Finished Chapter 3

2018 春季 代数拓扑

课程信息

习题

  • 3月13日交,选做2题: Chapter 0: 4, 11, 13, 15, 23,26
  • 3月27日交,选做2题:
    Section 1.1: 14, 15;
    Section 1.2: 6, 7, 8, 14, 19,20, 21;
    Section 1.3: 8, 9, 18, 26, 28, 32
  • 4月24日交, 选做2题:
    Section 2.1: 4, 9, 28
  • 5月22日交, 选做2题:
    Section 3.1: 5, 7, 8, 9

期中考试

以下三组题中选做一组, 5月15日交
1. Section 1.1: 6, Section 2.1: 20, 21, Section 2.2: 26
2. Section 1.1: 17, Section 2.1: 17 (a), Section 2.2: 38, 39
3. Section 1.1: 20, Section 2.1: 17 (b), Section 2.2: 40, 42

* 思考题(题不用交):

  • Chapter 2
    Section 2.1: 11,12,13,15,16,22,31
    Section 2.2: 7, 8, 12, 15, 20, 21, 22, 23, 36
  • Chapter 3
    Section 3.2: 11, 15
    Section 3.3: 8, 9, 10, 11, 20, 22, 25