Discrete Maths (OLD)
241-303, Semester 1, 2015-2016
0. Preliminaries
Please ask
questions
Who I am:
Andrew Davison
WiG Lab
ad@fivedots.coe.psu.ac.th
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Objective
– to give some background on the course
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Overview
1.
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Outline of the Course
Meeting Times / Locations
Workload
Exercises
Course Materials
Books
Interesting Maths URLs
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1. Outline of the Course
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To teach discrete maths useful for a
deeper understanding of computer
engineering:
– for understanding algorithms
e.g. recursion
– proving that programs work
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– for choosing data structures
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e.g. for use by a Web search agent
– for understanding advanced computing
tools/techniques
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e.g. regular expressions, grammars
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Mathematical ideas are the building blocks
of all of computer engineering/science.
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Understanding the maths behind computing
allows you to answer “why”.
– e.g. Why does recursion work?
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All the maths in this course is of direct use
in different areas of computing.
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Prerequisites
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You must have passed “Computer
Programming Techniques” (or similar)
– knowledge of C is assumed
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Three-part Course Structure
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1. Mathematical induction, loop invariants,
recursion, running time of programs.
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2. Graph algorithms and theory, trees.
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3. Automata, regular expressions, context
free grammars.
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2. Meeting Times / Location
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Monday
Thursday
14:00 – 14:50
10:00 – 11:50
R201
R201
Please come to see me if you have any
questions; do not send me e-mail.
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3. Workload
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Mid-term exam:
35%
(2 hours)
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Final exam:
45%
(3 hours)
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Two exercises:
20% (2*10)
• weeks 7-8 and weeks 15-16
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Non-Attendence Penalty
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I may take registration at the start of a class.
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If someone is not there, they lose 1%
(unless they have a good excuse).
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A maximum of 10% can be lost
– deducted from your final mark
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4. Exercises
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The two exercises are worth a total of
20% (each worth 10%).
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They will be maths problems, perhaps
with some simple algorithms to
design/write.
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Planned exercise times (which may change):
– ex. 1 handout: weeks 7-8
– ex. 2 handout: weeks 15-16
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Cheating will result in 0 marks.
– YOU HAVE BEEN WARNED!!
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5. Course Materials
Print out and
BRING TO CLASS
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I will hand out only the exercises.
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All the handouts (and other materials)
will be placed on-line at
http://fivedots.coe.psu.ac.th/
Software.coe/DiscreteMaths/
oldSyllabus/
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6. Books
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very
good
In the CoE Library
Discrete Mathematics and its Applications
Kenneth H. Rosen
McGraw Hill, 2012, 7th edition
http://www.mhhe.com/math/advmath/rosen/
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Discrete Mathematics for Computer
Scientists
John K. Truss
Addison-Wesley, 1999, 2nd edition
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Discrete Mathematics
(DM)
Richard Johnsonbaugh
Macmillian Pub. Co., 1997, 4th ed.
– less mathematical, more examples
– there is a copy in the main PSU library
– I have a copy
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7. Interesting Maths URLs
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Maths Archives: Discrete Maths:
– http://archives.math.utk.edu/topics/
discreteMath.html
– links to maths courses, lecture notes
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MA: Images and Mathematics
– http://archives.math.utk.edu/
images.html
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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)
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Math Comics/Cartoons:
– http://www.csun.edu/~hcmth014/
Comics.html
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Maths Software:
– http://www.shodor.org/interactivate/
activities/
(Java)
– http://archives.math.utk.edu/software/
.msdos.directory.html
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