1381170045_768__232_lecture_4.4

4 notesspeaker from theorem fs2009 449 if a is a 2 2

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Unformatted text preview: t, more generally, for Asst #2 Duesquare matrix A, any 9 Nov 2 9 VI.1 10 det(A) isA.3/ C 12 18 20 IX.2 23 IX.3 25 IX.4 13 30 14 Dec 10 Marni Discrete Limit Laws Sophie Combinatorial instances of discrete Mariolys Continuous Limit Laws Marni Quasi-Powers and Gaussian limit laws Random Structures and Limit Laws FS: Part C (rotating presentations) Mariolys Limit Laws and Comb IX.5 12 Sophie Introduction to Prob. IX.1 11 Asymptotic methods Sophie Presentations Asst #3 Due Dr. Marni MISHNA, Department of Mathematics, SIMON FRASER UNIVERSITY Version of: 11-Dec-09 tr(A) is C EDRIC C HAUVE , FALL 2013 18 MATH 895-4 Fall 2010 Course Schedule f a cu lty of science d epa r tm ent of m athema tic s Week Date 1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 9.2 Sections Part/ References Topic/Sections MATH 232 S ECTION #4.4 Notes/Speaker from FS2009 Eigenspaces of Real Symmetric 2 × 2 Matrices Combinatorial Structures FS: Part A.1, A.2 Comtet74 Handout #1 (self study) Symbolic methods Combinatorial Combinatorial (self-study) Multivariable GFs 3 21 II.1, our Note that II.2, II.3 matrix A = 4 28 II.4, II.5, II.6 5 Oct 5 III.1, III.2 6 12 IV.1, IV.2 Unlabelled structures 23 is real and symmetric 3 −6 Labelled structures II Labelled structures I Asst #1 Due parameters Parameters (By ”real”, we just mean that all its entries are real numbers) FS A.III 7 19 Complex Analysis Analytic Methods We haveIV.3, IV.4 calculatedB:that its eigenvalues are λ = 3 and −7 FS: Part IV, V, VI 8 26 9 Nov 2 IV.5 V.1 Appendix B4 Stanley 99: Ch. 6 Handout #1 (self-study) Singularity Analysis Asymptotic methods Asst #2 Due 9 VI.1 Sophie Recall that the eigenspace for λ = 3 is the span of the vector 10 12 A.3/ C Introduction to Prob. 11 20 IX.2 23 IX.3 25 IX.4 13 30 IX.5 14 Dec 10 Random Structures and Limit Laws FS: Part C (rotating presentations) 12 Limit Laws and Comb Marni Discrete Limit Laws Sophie Combinatorial instances of discrete Mariolys Continuous Limit Laws Marni Quasi-Powers and Gaussian limit laws line 18 IX.1vector equation with Mariolys 3 , that is the 1 Sophie Presentations Asst #3 Due And the eigenspace for λ = −7 is span 1 −3 which is the line Dr. Marni MISHNA, Department of Mathematics, SIMON FRASER UNIVERSITY Version of: 11-Dec-09 C EDRIC C HAUVE , FALL 2013 19 MATH 895-4 Fall 2010 Course Schedule f a cu lty of science d epa r tm ent of m athema tic s Week Date Sections 1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 3 21 II.1, II.2, II.3 4 28 II.4, II.5, II.6 5 Oct 5 III.1, III.2 6 12 IV.1, IV.2 7 19 IV.3, IV.4 8 26 9 Nov 2 Part/ References from FS2009 We can plot these two lines IV.5 V.1 Topic/Sections Combinatorial Structures FS: Part A.1, A.2 Comtet74 Handout #1 (self study) Combinatorial Parameters Analytic Methods FS: Part B: IV, V, VI Appendix B4 Stanley 99: Ch. 6 Handout #1 (self-study) Notes/Speaker Symbolic methods Combinatorial parameters FS A.III (self-study) MATH 232 S ECTION #4.4 Complex Analysis Unlabelled structures Labelled structures I Labelled structures II Asst #1 Due Multivariable GFs Singularity Analysis Asymptotic methods Asst #2 Due 9 VI.1 12 A.3/ C Introduction to Prob. Mariolys 18 IX.1 Limit Laws and Comb Marni 20 IX.2 Discrete Limit Laws Sophie 23 IX.3 Combinatorial instances of discrete Mariolys 25 IX.4 Continuous Limit Laws Marni 13 30 IX.5 Quasi-Powers and Gaussian limit laws Sophie 14 Dec 10 10 11 12 Random Structures and Limit Laws FS: Part C (rotating presentations) Sophie Presentations Asst #3 Due Note that they are perpendicular because Dr. Marni MISHNA, Department of Mathematics, SIMON FRASER UNIVERSITY Version of: 11-Dec-09 C EDR...
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