Class Notes: Applied Discrete Structures

Spring 1999 - MWF 5th Period CSE/E222

Instructor: M.S. Schmalz -- TA: James Jeffers


Anticipated Class Schedule


WEEK  Date  Class  TOPICS COVERED IN CLASS         READINGS     ASSIGNMENTS
---- ------ -----  ------------------------------- ------------ -----------
 01  W 06 J  #01   Overview, Notation, Logics      Ros Pref,1.1  
     F 08 J  #02   Propositional Equivalences      Ros 1.2      HW-1 ASN

 02  M 11 J  #03   Predicates and Quantifiers      Ros 1.3
     W 13 J  #04   Sets and Set Operations         Ros 1.4,1.5  HW-2 ASN
     F 15 J  #05   Mappings and Functions          Ros 1.6      HW-1 DUE

 03  M 18 J   --   FEDERAL HOLIDAY                 ---
     W 20 J  #06   Sequences, Summation, Growth    Ros 1.7,1.8  HW-3 ASN
     F 22 J  #07   Algorithms and Complexity       Ros 2.1,2.2  HW-2 DUE

 04  M 25 J  #08   Antegers, Division, Algorithms  Ros 2.3,2.4 
     W 27 J  #09a  Integers, Division, Modulo-n    Ros 2.4      
     F 29 J  #09b  Modulo Arithmetic               Ros 2.4      HW-4 ASN

 05  M 01 F  #09c  Applications of Number Theory   Ros 2.5      HW-3 DUE
     W 03 F  #10a  Number Theory, Matrices         Ros 2.6      
     F 05 F  #10b  Matrix Operations               Ros 2.6      HW-4 DUE
                                                                HW-5 ASN
 06  M 08 F  #11   Methods of Proof, Construction  Ros 3.1      
     W 10 F  #12   Mathematical Induction          Ros 3.2      
     F 12 F  #13   Mathematical Ind., Exam Review  Ros 3.2      

     *** EXAM #1 :  Monday 15 Feb 99:  8:20pm  in Carlton Auditorium ***

 07  M 15 F  #14   Mathematical Ind., Recursion    Ros 3.3,3.4  
     W 17 F  #15   Recursive Definitions, Algor's  Ros 3.4      HW-5 DUE
     F 19 F  #16   Program Correctness             Ros 3.5      

 08  M 22 F  #17   Counting, Pigeonhole Principle  Ros 4.1,4.2  Other HW's to
     W 24 F  #18   Permutations & Combinations     Ros 4.3      be announced...
     F 26 F  #19   Probability Theory              Ros 4.4      

 09  M 01 M  #20   Probability Theory              Ros 4.5      
     W 03 M  #21   Statistics, Permutations        Ros 4.6      
     F 05 M  #22   More Permutations & Combin's.   Ros 4.7      

 10  08-12M   --   SPRING BREAK HOLIDAY            ---

 11  M 15 M  #23   Recurrence Relations & Soln's.  Ros 5.1      
     W 17 M  #24   Solving Recurrence Relations    Ros 5.2      
     F 19 M  #25   Divide-and-Conquer Relations    Ros 5.3

 12  M 22 M  #26   Inclusion-Exclusion             Ros 5.4,5.5
     W 24 M  #27   Relations, n-ary Relations      Ros 6.1,6.2  
     F 26 M  #28   Representing Relations, Closure Ros 6.3,6.4  

 13  M 29 M  #29   Equivalence Relations           Ros 6.5
     W 31 M  #30   Total and Partial Orderings     Ros 6.6      
     F 02 A  #31   EXAM #2 - In Class              --- 

 14  M 05 M  #32   Basics of Graphs                Ros 7.1-7.3
     W 07 M  #33   Graph Connectivity              Ros 7.3,7.4  
     F 09 A  #34   Euler & Hamilton Paths          Ros 7.5      

 15  M 12 A  #35   Shortest Path Problems          Ros 7.6
     W 14 A  #36   Shortest Paths, Planar Graphs   Ros 7.7      
     F 16 A  #37   Graph and Map Coloring          Ros 7.8      

 16  M 19 A  #38   Trees, Tree Traversal, App's.   Ros 8.1-8.3
     W 21 A  #39   Trees and Sorting               Ros 8.4      
     F 23 A  #40   Spanning Trees and MST's        Ros 8.5-8.6

 17  M ?? A  #41   Boolean Algebra                 Ros 9.1,9.2
     W ?? A  #42   Logic Circuits and Minimization Ros 9.3,9.4  
     F ?? A  #43   Languages & Grammars, FSAs      Ros 10.1-3

--EOF--

-- IMPORTANT -- Homework #01 DUE 15 Jan 1999 at 11:45am EDT -- IMPORTANT --
-- READ THIS -- No Extensions Given without Medical Excuse -- READ THIS --


This concludes the description of the anticipated class schedule. Use the E-mail link at the top of this Web page to correspond with the instructor or TAs, if you have any questions.