2DI75  Linear Algebra (Kw 4, 2012)

Nikhil Bansal

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Administrative Information

Lectures:  Mondays  (Hours 1 and 2, i.e. 8:45 - 10:30)             Location:  Auditorium 5
  Tuesdays  (Hours 1 and 2, i.e. 8:45 - 10:30)              Location:  Auditorium 7
                (We will not have lectures on some days, see detailed schedule below)

Instruction:   Wednesdays 15:45 - 17:30  (hours 7 and 8)  in  Auditorium 16  and HG 6.09
                   dr. E.F. Kaasschieter (Instructor), dr.ir. H.A. Wilbrink (Instructor)
                    Non-Dutch students might prefer to go to the instruction of Dr. Kaasschieter in Aud 16.
                    It is strongly recommended that you go to the instructions and solve all the problems.

Lecturer: Nikhil Bansal - 9.01 HG.  Ph: 040 247 2299. Email:  n dot bansal at tue dot nl

Grading Policy:   Grade based on the final exam. 
Exam Date: 29 June  2012.   Time 09:00 - 12:00  (Location TBD)
Resit Date: 16 August, 2012  (9h00-12h00)

Goals: Understand  the most important and basic notions of linear algebra.

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Study material:

• Required text book:  Elementary Linear Algebra, Kolman and Hill, 9th Edition (Pearson)
  
  I will post the slides of the lecture after each class. If something is unclear, you should study the slides and/or the textbook and/or ask at the instruction.
  
  Everybody has a preferred style of mathematical exposition that they like. If you find some topic in the text book hard to follow, you can
  also look up in this nice (free) book. You may also find the material  here helpful.

• Study Guide:   (updated June 9, with instruction 6 and 7 problems)
  For problems to be done during the instruction.
  I will update the study guide over the duration of the course. Please check before each instruction.

• Summary notes  (due to Rik Kaasschieter) 

• Old practice examinations. Available with solutions.
• New: Exam of June 29, with solutions.

Lectures:

(Tentative schedule,  will be updated as the course proceeds)

Lecture	Date/Location	Topic	Slides and Reading Material
1	Apr 23, Mo, Aud 5	Linear Systems and solving them  via elimination, Matrix, Row Echelon Form	1.1, 1.2, 2.1      Slides
2	Apr 24, Tu, Aud 7	Parameterized solutions, Vectors	2.2, 4.1  Slides
	Apr 25, We	Instruction  1	Look at "study guide" above for problems.
	Apr 30,  Mo	Holiday. No class
3	May 1, Tu, Aud 7	Span, Vector Spaces, Subspace, Linear independence, dimension, basis	4.2,4.3,4.4, 4.5, 4.6  Slides
	May 2, We	No Instruction
4	May 7, Mo, Aud 5	Matrix Operations, elementary operations, matrix inverse	1.3, 1.4, 2.3  Slides
5	May 8, Tu, Aud 7	Matrix as a linear transformation; range, null space, rank-nullity	1.6, 4.7, 4.9  Slides
	May 9, We	Instruction 2
6	May 14, Mo, Aud 5	More on transformations; Length, direction, inner products	6.6, 5.1, 5.3  Slides
7	May 15, Tu, Aud 7	Gram Schmidt orthogonalization	5.4 Slides
	May 16, We	Instruction 3
8	May 29, Tu. Aud 5  (monday schedule)	Orthogonal Complements, Least Squares	5.5, 5.6   Slides
	May 30, We	Instruction 4
9	Jun 4, Mo, Aud 5	Determinants; properties; start cofactor adjoint	3.1, 3.2  Slides
10	Jun 5, Tu, Aud 7	Determinants; volumes; inverses	3.3, 3.4  Slides
	June 6, We	Instruction 5
11	Jun 11, Mo, Aud 5	Eigenvalues and Eigenvectors; Diagonalization	7.1  Slides
12	Jun 12, Tu, Aud 7	Finish off Diagonalization	7.2, 7.3  Slides
	Jun 13, We	Instruction 6
13	Jun 18, Mo, Aud 5	Recap	Slides   (the "summary notes" above also have >90% overlap with things we covered)
14	Jun 19, Tu, Aud 7	Discussion of old exams	Now available
	Jun 20, We	Instruction 7