CS 368 Discrete Mathematics II Spring 2005  Assignments
This is an approximately correct list for the term.  I may make occasional small alterations or additions.
Problems in parentheses are more difficult.

Review:   Topics covered in pages 1-39.  Front flyleaf "LOGIC", Back flyleaf "LOGIC", "SUMS."  You will need to review other topics as we proceed.  Use the text's Index.   New reading is given here--the whole section unless otherwise noted..

Circuits
   1.4   p.55  1,3,7,11,16,18,24,27,31,33
# systems, addressing, 2's complement
   1.5   p.74  19,20,23,24,28,29,30,32,(34)
Set th. as Boolean alg (read 5.3 p. 266)
    5.3   p.268  48a,b,c,d(i)
Mod. arithmetic
    3.4   p.146  13,14,(16),22,(24),25,33
Floor & ceiling
    3.5   p.153   1,3,5,7,9,(10),13,14,15,16,24
Algorithms (Euclidean) loop trace, trace table
    3.8   p.177  1,3,5,6,812,13,15,17,19,24,26       p. 243     21, 22
Correctness of Algorithms (loop invariants, pre&post conditions)
    4.5   p.229  1,3,4,6,8
Formal languages (examples of functions, partitions)  (read 5.1 p. 239-41)
     5.1  p.243  19a,c,e,20,     p.268  39,     p.355  13,       p. 386  20,21
Cardinality & Computability (read 7.6 pp. 420-22)
    7.6   p.423  (28)
Russell's Paradox, Halting
    5.4   p.271  1,2,4,5,6,8,10
Finite state Automata
    7.2   p.367  1,2,7,8,10,12,17,20,22,27,28,(30),(31)
Graphs: intro
  11.1   p.616  1,3,5,8,10,12,17,18,19,24a,b,25,28,31,(33),36,37a,b
Paths&Circuits (Euler, Hamilton)
  11.2   p.636  1,3,4,8a,d,9,12,14,18,19,20,23,25,38,42,45
Matrix Multiplication, Representation of Graphs
  11.3   p.654  2,3,4,6,(15),19
Isomorphisms of Graphs
  11.4   p.662  1,2,5,7,8,11,14,16,21,22, read sol of 23,  27,30
Trees
  11.5   p.681  2a,4,7a,8,9,11,13,25,27,30,32,34,36,38,39,42,51
Spanning Trees, Weighted Graphs
  11.6   p.692  1,5,7,9,12,13,16,20,23
O-notation  (Read 9.1 as prep: nothing should be new)
   9.2    p.493  2,3,7,11,13,14,17,21,23,26,27,37,read 39 and 40
Efficiency of algorithms, esp. sorts
   9.3   p.502  1,2,4,6,8,10,15,17,20,22
Recursively Defined Sequences
   8.1   p.438  1,3,7,9,11,15,18,29,32,34
Solving Recurrence Relations by Iteration
   8.2   p.451  1,2a,b,c,3,5,10,15,17,21,23,26,31,41,44
2nd order... Recurrence Relations
   8.3   p.464  1,3,5,7,8,11,13,16,19,25


CS368-Sp05/Assts368Sp05.htm  1/23/05
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