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COURSE OUTLINE
In
DISCREET MATHEMATICS
2nd
Semester S/Y 20120-2021
Start of Classes: March 8, 2021
End of Classes: July 11, 2021
Week Date Topics Activities Delivery Mode
1 March
10
ORIENTATION
• Grading system as per
student’s handbook
• Subject Requirements
• School policies as per
student’s handbook
• Classroom policies
• Course Overview
 • Rationale of the
Course
 Activity
1.1(Leons)
 Activity 1.2
(Assignment)
 Synchronous
 Asynchronous
2-3 March
17,24
 Overview of Discrete
Mathematical
Structures
 Propositional Logic
 Propositional
Equivalence
 Activity 1.3  Synchronous
 Asynchronous
4-6 March
31
April
7,14
Proof Methods and Strategy –  Activity 1.4
 Activity 1.5
 Activity 1.6
 Synchronous
 Asynchronous
Prelim Examination
7-9 April 21,
28
May 5
The Fundamentals
• Set Theory –•
Properties of Sets-
• Set Operations-cells,
 Activity 2.1
 Activity 2.2
 Activity 2.3
 Synchronous
 Asynchronous
10-12 May
12,19,26
FUNCTIONS & RELATIONS
• Functions defined on
General Sets
• Relations and Their
Properties
• Representing Relations
• Equivalence Relations
 Activity 2.4
 Activity 2.5
 Activity 2.6
 Synchronous
 Asynchronous
MIDTERM EXAMINATION
13-15 June 2,
9, 16
GRAPHS & TREES
• Trees
• Undirected & Directed Graphs Undirected & Directed Graphs
 Activity 3.1
 Activity 3.2
 Activity 3.3
 Synchronous
 Asynchronous
16-18 June 23,
30
July 7
BASIC of COUNTING and
DISCRETE PROBABILITY
• The Basics of Counting (Sum
& Product Rules)
• An Introduction to Discrete
Probability
 Activity 3.4
 Activity 3.5
 Activity 3.6
 Synchronous
 Asynchronous
FINAL EXAMINATION
REFERENCES:
Books/E-Book/ Internet sources:
1. Susana S. Epp. 2019. Discrete mathematics with applications [Ebook]. Boston,
MA: Cengage Learning. Retrieved from
http://dl.booktolearn.com/ebooks2/science/mathematics/9781337694193_Discret
e_Mathematics_with_Applications_5th_3f15.pdf
2. Jean Gallier. 2019. Discrete Mathematics [Ebook] (2nd ed.). Philadelphia:
Springer. Retrieved from http://www.cis.upenn.edu/~jean/discmath-root-b.pdf
3. Oscar Levin. 2019. Discrete Mathematics An Open Introduction [Ebook] (3rd
ed.). Colorado. Retrieved from http://discrete.openmathbooks.org/pdfs/dmoi-
4. Rafael Pass and Wei-Lung Dustin Tseng. 2019. A Course in Discrete Structures
[Ebook] Retrieved from https://www.cs.cornell.edu/~rafael/discmath.pdf
5. Kenneth Rosen. 2019. Discrete mathematics and its applications [Ebook]. New
York, NY: McGraw-Hill. Retrieved from
http://dl.booktolearn.com/ebooks2/science/mathematics/9781259676512_Discret
e_Mathematics_and_Its_Applications_8th_Edition_6a1e.pdf
6. Desmond Ballard. 2017. Discrete Mathematics. Larsen and Keller Education.
7. Willem Conradie and Valentin Goranko. 2015. Logic and Discrete Mathematics :
a concise introduction. Hoboken: Wiley.
8. Richard Johnsonbaugh. 1993. Discrete Mathematics. 3rd Edition. Pearson
9. James Aspnes. 2020. Notes on Discrete Mathematics. Retrieved from
http://www.cs.yale.edu/homes/aspnes/classes/202/notes.pdf
10. Lecture Notes on Discrete Mathematics. 2019. Retrieved from
http://home.iitk.ac.in/~arlal/book/mth202.pdf

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sample course outline in discrete mathematics.docx

  • 1. COURSE OUTLINE In DISCREET MATHEMATICS 2nd Semester S/Y 20120-2021 Start of Classes: March 8, 2021 End of Classes: July 11, 2021 Week Date Topics Activities Delivery Mode 1 March 10 ORIENTATION • Grading system as per student’s handbook • Subject Requirements • School policies as per student’s handbook • Classroom policies • Course Overview  • Rationale of the Course  Activity 1.1(Leons)  Activity 1.2 (Assignment)  Synchronous  Asynchronous 2-3 March 17,24  Overview of Discrete Mathematical Structures  Propositional Logic  Propositional Equivalence  Activity 1.3  Synchronous  Asynchronous 4-6 March 31 April 7,14 Proof Methods and Strategy –  Activity 1.4  Activity 1.5  Activity 1.6  Synchronous  Asynchronous Prelim Examination 7-9 April 21, 28 May 5 The Fundamentals • Set Theory –• Properties of Sets- • Set Operations-cells,  Activity 2.1  Activity 2.2  Activity 2.3  Synchronous  Asynchronous 10-12 May 12,19,26 FUNCTIONS & RELATIONS • Functions defined on General Sets • Relations and Their Properties • Representing Relations • Equivalence Relations  Activity 2.4  Activity 2.5  Activity 2.6  Synchronous  Asynchronous MIDTERM EXAMINATION 13-15 June 2, 9, 16 GRAPHS & TREES • Trees • Undirected & Directed Graphs Undirected & Directed Graphs  Activity 3.1  Activity 3.2  Activity 3.3  Synchronous  Asynchronous
  • 2. 16-18 June 23, 30 July 7 BASIC of COUNTING and DISCRETE PROBABILITY • The Basics of Counting (Sum & Product Rules) • An Introduction to Discrete Probability  Activity 3.4  Activity 3.5  Activity 3.6  Synchronous  Asynchronous FINAL EXAMINATION REFERENCES: Books/E-Book/ Internet sources: 1. Susana S. Epp. 2019. Discrete mathematics with applications [Ebook]. Boston, MA: Cengage Learning. Retrieved from http://dl.booktolearn.com/ebooks2/science/mathematics/9781337694193_Discret e_Mathematics_with_Applications_5th_3f15.pdf 2. Jean Gallier. 2019. Discrete Mathematics [Ebook] (2nd ed.). Philadelphia: Springer. Retrieved from http://www.cis.upenn.edu/~jean/discmath-root-b.pdf 3. Oscar Levin. 2019. Discrete Mathematics An Open Introduction [Ebook] (3rd ed.). Colorado. Retrieved from http://discrete.openmathbooks.org/pdfs/dmoi- 4. Rafael Pass and Wei-Lung Dustin Tseng. 2019. A Course in Discrete Structures [Ebook] Retrieved from https://www.cs.cornell.edu/~rafael/discmath.pdf 5. Kenneth Rosen. 2019. Discrete mathematics and its applications [Ebook]. New York, NY: McGraw-Hill. Retrieved from http://dl.booktolearn.com/ebooks2/science/mathematics/9781259676512_Discret e_Mathematics_and_Its_Applications_8th_Edition_6a1e.pdf 6. Desmond Ballard. 2017. Discrete Mathematics. Larsen and Keller Education. 7. Willem Conradie and Valentin Goranko. 2015. Logic and Discrete Mathematics : a concise introduction. Hoboken: Wiley. 8. Richard Johnsonbaugh. 1993. Discrete Mathematics. 3rd Edition. Pearson 9. James Aspnes. 2020. Notes on Discrete Mathematics. Retrieved from http://www.cs.yale.edu/homes/aspnes/classes/202/notes.pdf 10. Lecture Notes on Discrete Mathematics. 2019. Retrieved from http://home.iitk.ac.in/~arlal/book/mth202.pdf