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Hl higher level understanding this indicates a

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Unformatted text preview: anding at a higher level. These questions will require more thought than a R E or CE so don’t be discouraged if you can’t see how to do this immediately. Perseverance and playing around with ideas is the key to these questions. Understanding th is material at this level is an expected outcome of this course. CM = Computer of Computational Device: This indicates a question in which a computer or calculator is needed. C EDRIC C HAUVE , FALL 2013 Introduction question): to Prob. 3 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 from FS2009 1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 Part/ References Combinatorial Selected Hints & Answers: Structures 2.2: 8. The 3 × 3 reduced 3 21 II.1, II.2, II.3 Topic/Sections MATH 232 A SSIGNMENT #3 Notes/Speaker Symbolic methods Unlabelled structures 100 FS: Part A.1, A.2 row echelon matrices are 0 1 0; Comtet74 Labelled structures I Handout #1 001 (self study) Labelled structures II 10a 0 1 b 000 01 0 ; and 0 00 0 0 Asst #1 Due 0 for 1 any a, b ∈ R; 0 0 0 0. 0 c 0 0 0 0 1 for any c ∈ R; 0 0 0 1 0 0 0 1; 0 II.4, II.5, II.6 1 4 d 28e 01f 0 0 0 0 0 for any d, e ∈ R; 0 0 0 for any f ∈ R; 0 0 Combinatorial Combinatorial III.1, III.2 0 5 0 Oct 5 0 000 0 0 parameters Parameters 1 1 −7 2.2: 24 x1 = − 7 − 3 t, x2 =FS A.III4 t, x3 = t for −∞ < t < ∞. 7 7 6 12 IV.1, IV.2 Multivariable GFs (self-study) 2.2: 26 inconsistent 2.2: 28 inconsistent 7 19 IV.3, IV.4 Complex Analysis Analytic Methods 2.2: 34 (a) has nontrivial solutions, (b) has nontrivial solutions FS: Part B: IV, V, VI 8 26 Singularity = −3 2.2: 46 no solution if a = 3, Appendix B4 many solutions if aAnalysis, one solution for any other value of a √ infinitely √ IV.5 V.1 2.2: 50 there are eight solutions embracing all possible combinations of x = ±1, y = ± 3, and z = ± 2 Stanley 99: Ch. 6 9 Nov 2 Asst #2 Due Asymptotic methods Handout #1 2.2: 52 sum the three equalities, multiplied by appropriate coefficie...
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