Syllabus

• Text– K. H. Rosen, "

Discrete Mathematics and Its Applications", 6e, McGraw-Hill, 2006. ( 歐亞 )

• Office hours– Tuesday 8:00-12:00 am

• http://www1.pu.edu.tw/~ycwong

Grading Policy

• 課堂表現 20% • Coding Project 15%• 期中考 (x3) 15% • 期末考 20%

Lecture [1/3]

• Ch 8. Relations (2) • 期中考 (1) • Ch 9. Graphs (3)• Ch 10. Trees (2)• 期中考 (2)

•8.1 Relations and Their Properties •8.3 Representing Relations •8.4 Closures of Relations •8.5 Equivalence Relations •8.6 Partial Orderings

•9.1 Graphs and Graph Models •9.2 Graph Terminology •9.3 Representing Graphs and Graph Isomorphism •9.4 Connectivity •9.5 Euler and Hamilton Paths •9.6 Shortest-Path Problems •9.7 Planar Graphs •9.8 Graph Coloring

•10.1 Introduction to Trees •10.2 Applications of Trees •10.3 Tree Traversal •10.4 Spanning Trees •10.5 Minimum Spanning Trees

• Ch 5. Counting (2.5)• 期中考 (3) • Ch 7. Advanced Counting Techniques (2.5)

Lecture [2/3]•5.1 The Basics of Counting •5.2 The Pigeonhole Principle •5.3 Permutations and Combinations •5.4 Binomial Coefficients •5.5 Generalized Permutations and Combinations •5.6 Generating Permutations and Combinations

•7.1 Recurrence Relations •7.2 Solving Linear Recurrence Relations •7.3 Divide-and-Conquer Algorithms and Recurrence Relations •7.4 Generating Functions •7.5 Inclusion-Exclusion •7.6 Applications of Inclusion-Exclusion

• Ch 12. Modeling Computation (1)• 期末考

Lecture [3/3]

•12.1 Languages and Grammars •12.2 Finite-State Machines with Output •12.3 Finite-State Machines with No Output

• Euler Circuits • Shortest Path• Tree Traversal• Minimum Spanning Trees

Projects