COURSE OVERVIEW KS141203 MATEMATIKA DISK

KS141203 MATEMATIKA DISKRIT
(DISCRETE MATHEMATICS)

COURSE OVERVIEW

Ahmad Muklason, PhD.

Lecturer
Ahmad Muklason, Ph.D
Office
Ged. Sistem Informasi Lt.2 TC 206 / Ged. Pascasarjana ITS Lt. 2
Social
E : ahmad.muklason@gmail.com
Twitter
H : 0812 2825 6102
IG
W : http://www.cakshon.com

: @cakshon
: @cakshon


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Outline
Course Description

Objectives
Materials
Textbooks
Useful Links and Resources
E-Learning
Lecture Regulations
Discussions

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Course Description
Mathematical foundations needed for further studies in computer related
courses.
The topics include logic, sets, functions, matrices, counting, probability, and
graph theory.

This course covers 3 credits of your 144 credits studies workload.

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Objectives
1. Students understand mathematical reasoning in order to read, comprehend,
and construct mathematical arguments.
2. Students are able to use and apply mathematical logic for problem solving

3. Students understand how to work with discrete structure which are the
abstract mathematical structures used to represent discrete objects and
relationships between these objects. These discrete structures include sets,
permutations, relations, and graphs.
4. Students are able to solve certain problems by implementing the algorithmic
thinking.

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Materials
The Foundations: Logic and Proofs  Propositional Logic, Propositional Equivalences, Predicates and

Quantifiers, Nested Quantifiers, Rules of Inference, Introduction to Proofs, Proof Methods and
Strategy
Basic Structures: Sets, Functions, Sequences, Sums, and Matrices  Sets, Set Operations, Functions,
Sequences and Summations, Cardinality of Sets, Matrices
Number Theory  Divisibility and Modular Arithmetic, Integer Representations and Algorithms,
Primes and Greatest Common Divisors, Congruence

Induction and Recursion  Mathematical Induction, Strong Induction and Well-Ordering, Recursive
Definitions and Structural Induction, Recursive Algorithms
Counting  The Basics of Counting, The Pigeonhole Principle, Permutations and Combinations

Relations  Relations and Their Properties, Representing Relations, Equivalence Relations, Partial
Orderings
Graphs  Graph Terminology and Special Types of Graphs, Representing Graphs and Graph
Isomorphism, Connectivity, Shortest-Path Problems

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Textbooks
Kenneth H. Rosen, Discrete Mathematics and its Applications, Seventh edition, McGraw-Hill

International Edition. 2012.

Richard Johnsonbaugh, Discrete Mathematics, Seventh Edition, Pearson Education, Inc., 2009.

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Useful Links and Resources
1. The Rosen companion website, http://www.mhhe.com/rosen
2. The Richard companion website,
http://condor.depaul.edu/~rjohnson/dm7th/
3. The Mathematical Zone, http://www.mathzone.com

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E-Learning
All materials will be uploaded in e-learning after each class meeting.

http://share.its.ac.id/
Username : NRP


Password : DoB [yyyymmdd]
Enrolment key:
KS141203A,KS141203B, KS141203C, KS141203D

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Class Regulations
Attendance

Class attendance is required.
You are responsible for all materials and assignments given in the class whether or
not you are present. It is your responsibility to pick up any missed quizzes,
assignments or handouts.

Every class is important. For student whose attendance less than 80%, his/her
grade will be reset to zero (failed).
Students who came 30 minutes after the class started is not allowed to join the
class

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Class Regulations (cont.)
Academic Honesty:

◦No Cheating!
◦ Be aware of

plagiarism!

Diciplines:

on time, do not disturb other/make noise
◦ Assignment: minus grade for late submission
◦ Class: come

Class Representative :

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Class Regulations (cont.)

Assessment
Refreshment quiz

20%

Coursework

25%

Midterm Test

25%

Final Exam

30%

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Discussion


Do you think Math is
useless for Information
Systems Students?

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Discussion

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