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Discrete Maths

Discrete Maths

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Discrete Maths

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  1. Discrete Maths 241-303,Semester 1,2014-2015 • Objective • to give some background on the course Please ask questions 0. Preliminaries Who I am: Andrew DavisonWiG Lab ad@fivedots.coe.psu.ac.th

  2. Overview 1. Outline of the Course 2. Meeting Times / Locations 3. Workload 4. Exercises 5. Course Materials 6. Books 7. Interesting Maths URLs

  3. 1. Outline of the Course • To teach discrete maths useful for a deeper understanding of computer engineering: • for understanding algorithms e.g. recursion • proving that programs work continued

  4. for choosing data structures • e.g. for use by a Web search agent • for understanding advanced computing tools/techniques • e.g. regular expressions, grammars continued

  5. Mathematical ideas are the building blocks of all of computer engineering/science. • Understanding the maths behind computing allows you to answer “why”. • e.g. Why does recursion work? • All the maths in this course is of direct use in different areas of computing.

  6. Prerequisites • You must have passed “Computer Programming Techniques” (or similar) • knowledge of C is assumed

  7. Three-part Course Structure • 1. Mathematical induction, loop invariants, recursion, running time of programs. • 2. Graph algorithms and theory, trees. • 3. Automata, regular expressions, context free grammars.

  8. 2. Meeting Times / Location • Friday 10:00 – 10:50 My office • You mustcome to see me to pick up and hand in exercises 1 and 2. • Attendance is optional for the other weeks. • Please come to see me if you have any questions; do not send me e-mail.

  9. 3. Workload • Mid-term exam: 35% (2 hours) • Final exam: 45% (3 hours) • Two exercises: 20% (2*10) • weeks 7-8 and weeks 15-16

  10. Non-Attendence Penalty • I may take registration at the start of a class. • If someone is not there, they lose 1%(unless they have a good excuse). • A maximum of 10% can be lost • deducted from your final mark

  11. 4. Exercises • The two exercises are worth a total of 20% (each worth 10%). • They will be maths problems, perhaps with some simple algorithms to design/write. continued

  12. Planned exercise times (which may change): • ex. 1pick up: Sept. 26th; hand-in: Oct. 3rd • weeks 7-8 • ex. 2pick up: Nov. 21st; hand-in: Nov. 28th • weeks 15-16 • Cheating will result in 0 marks. • YOU HAVE BEEN WARNED!!

  13. 5. Course Materials Print out and BRING TO CLASS • I will hand out only the exercises. • All the handouts (and other materials)will be placed on-line at http://fivedots.coe.psu.ac.th/Software.coe/DiscreteMaths/

  14. 6. Books very good In the CoE Library • Discrete Mathematics and its ApplicationsKenneth H. RosenMcGraw Hill, 2012, 7th edition http://www.mhhe.com/math/advmath/rosen/ • Discrete Mathematics for Computer ScientistsJohn K. TrussAddison-Wesley, 1999, 2nd edition continued

  15. Discrete Mathematics(DM)Richard JohnsonbaughMacmillian Pub. Co., 1997, 4th ed. • less mathematical, more examples • there is a copy in the main PSU library • I have a copy

  16. 7. Interesting Maths URLs • Maths Archives: Discrete Maths: • http://archives.math.utk.edu/topics/ discreteMath.html • links to maths courses, lecture notes • MA: Images and Mathematics • http://archives.math.utk.edu/ images.html continued

  17. Maths Puzzles (some not yet solved): • http://archives.math.utk.edu/software/ msdos/discrete.math/.html • http://thinks.com/(The brain games, puzzles and pastime Web site) • http://rec-puzzles.org/ (the rec.puzzles newsgroup archive) continued

  18. Math Comics/Cartoons: • http://www.csun.edu/~hcmth014/ Comics.html • Maths Software: • http://www.shodor.org/interactivate/ activities/ (Java) • http://archives.math.utk.edu/software/ .msdos.directory.html