Syllabus with assigments




TOPIC
ASSIGNMENT
(v37)
 1.1-1.2-1.3     Matrices  over the complex numbers, Groups                                                                                                                 
 Due  Sep. 13
  1.1.6 and 1.2.6.                                
(v38)
1.3-1.7   Matrices over arbitrary fieldds and vector spaces  Due Sep. 20
  1.4.7 and 1.6.6
(v39) 1.7-1.8    Bilinear forms, orthogonal and simplectic groups  Due Sep. 27
  PS-file  PDF file
(v40) 1.8-1.10  Bilinear forms, symmetric and skew symmetric matrices.
 Due  Oct. 4
 PDF-file
(v41) 2.1 2.2  Normed spaces, the exponential map. Due Oct. 11
PDF file
(v42) 2.3  Properties of the exponential and logarithmic functions
Due Oct. 25
-Proof of 2.2.12
-2.2.3
(v44) 2.4, 2.5 Analytic functions, Tangent spaces
----
(v45) 3.3 Topological spaces,  3.9 Compact spaces
Due Nov. 8
PDF.file
(v46) 5.1 Affine varieties 5.2 Irreducibility
Due Nov. 22
PDF
(v48) 5.3 Regular functions 5.4 Hilbert Nullstellensatz

(v49) 5.5 Projective varieties
Due Dec. 6
Final assignment
Solution by C. Lundkvist
(v50) 5.6  5.7 tangent space

(v51)