Republic of the Philippines
BOHOL ISLAND STATE UNIVERSITY
[Address, Zip Code, Bohol, Philippines]
Office of the College of Engineering, Architecture and Industrial Design
Balance I Integrity I Stewardship I Uprightness
COURSE SYLLABUS
Course Code
CpE 122
Course Credits (Units)
Total:
Course Title
Discrete Mathematics
Contact Hours/Week
Prerequisite
Calculus 1
College / Department
Component
Mathematics
Semester, Academic Year
Total:
3
Lecture
3
Lab
Engineering, Architecture and Industrial Design/
Computer Engineering
Second Semester, A.Y. 2024 - 2025
Program & Year
BSCpE 1A, BSCpE 1B, BSCpE 1C
Faculty
Edward C. Anuta, PhD.
Goals:
Core Values:
3
Lecture
3
Lab
0
0
1. Pursue faculty and education excellence and strengthen the current viable curricular programs and develop curricular programs that are responsive
to the demands of the times both in the industry and the environment.
2. Promote quality research outputs that respond to the needs of the local and national communities.
3. Develop communities through responsive extension programs.
4. Adopt efficient and profitable income generating projects/enterprise for self-sustainability.
5. Provide adequate, state-of-the-art and accessible infrastructure support facilities for quality education.
6. Promote efficient and effective good governance supportive of high-quality education.
1. Search for Excellence
2. Responsiveness to Challenges
3. Student Access
4. Public Engagement
5. Good Governance
Institutional Graduate Attributes:
Innovative and virtuous professionals.
Program Educational Objective (PEO):
1. To ensure mastery in the application of the skills and competencies in programming, networking and digital design responsive to the needs of
the global industries;
2. To enthuse learners to apply operational researches to further new knowledge and technology and to involve students in researched- based
extension activities;
3. To market developed programs and designs of hardware and software applications;
4. To provide students the necessary facilities, effective service and humane learning environment;
F-AQA-INS-002 | Rev. 2 | 07/01/24 | Page 1 of 6
Republic of the Philippines
BOHOL ISLAND STATE UNIVERSITY
[Address, Zip Code, Bohol, Philippines]
Office of the College of Engineering, Architecture and Industrial Design
Balance I Integrity I Stewardship I Uprightness
COURSE SYLLABUS
To inculcate the culture of excellence and instill personal values and professional ethics.
Program Outcomes: (Based on your Program CMO)
Program Outcomes (POs)
PO1. Apply knowledge of mathematics and science to solve complex computer engineering problems;
PO2. Design and conduct experiments, as well as to analyze and interpret data;
PO3. Design a system, component, or process to meet desired needs within realistic constraints, in accordance with standards;
PO4. Function in multidisciplinary and multi-cultural teams;
PO5. Identify, formulate, and solve complex computer engineering problems;
PO6. Understand professional and ethical responsibility;
PO7. Communicate effectively.
PO8. Understand the impact of computer engineering solutions in a global, economic, environmental and societal context
PO9. Recognize the need for, and engage in life-long learning;
PO10. Know contemporary issues;
PO11. Use techniques, skills and modern engineering tools necessary for computer engineering practice;
PO12. Know and understand engineering and management principles as a member and leader of a team, and to manage projects in a multidisciplinary environment;
PO13. Understand at least one specialized field of computer engineering practice.
Course Outcomes in Relation to Program Outcomes
Course Outcomes (COs)
Program Outcomes (POs)
At the end of the course, the learners should be able to:
(Legend: I – Introduced, E – Enabled, D – Demonstrated)
F-AQA-INS-002 | Rev. 2 | 07/01/24 | Page 2 of 6
Republic of the Philippines
BOHOL ISLAND STATE UNIVERSITY
[Address, Zip Code, Bohol, Philippines]
Office of the College of Engineering, Architecture and Industrial Design
Balance I Integrity I Stewardship I Uprightness
COURSE SYLLABUS
PO 1
CO1. Explain the concepts of mathematical logic and proofs for analyzing propositions and proving theorems
CO2. To use mathematical reasoning techniques including induction and recursion
PO 2
I
I
CO3. To apply counting techniques to the representation and characterization of relational concepts
I
CO4. Implement the data sorting algorithm in computer programming problems
I
Legend:
I – Introduced – An introductory course to an outcome; E – Enabled - A course that strengthens the outcome; D – Demonstrated – A course demonstrating an outcome
Course Description:
This course is designed for BSCpE 1 students with emphasis on the understanding and composition of mathematical proofs, and application to
engineering problems. This also deals with logic, sets, growth of functions, theory of numbers, counting techniques, trees, graph theory, number theory
and mathematical modelling. Moreover, this focus on the development and implementation of mathematical and logical algorithms in computer
programming.
Course Outcome
Learning Objectives
•
•
•
•
be responsive of the
student’s role and
responsibilities in BISU.
be aware on the activities
and requirements for
compliance by the end of
the semester.
be mindful of the
challenges and
importance of the
computer engineering
profession.
be able to understand and
articulate the significance
of gender equality,
F-AQA-INS-002 | Rev. 2 | 07/01/24 | Page 3 of 6
Content/Course Matter
Orientation (Course
Syllabus, VMGO,
Classroom Policies)
1. Check the students’
Certificate of Enrollment
2. Revisit the VMGO of the
university
3. Distribution of course
syllabus
4. Class orientation on the
classroom policies,
course requirements,
students’ performance
Time
Frame
Teaching and
Learning Activities
•
3
•
•
•
Presentation of
BISU VGMO
Presentation of
University,
Program
and
Course Policy
Open Forum
Discussion on the
topic
Assessment Tasks
Remarks
Republic of the Philippines
BOHOL ISLAND STATE UNIVERSITY
[Address, Zip Code, Bohol, Philippines]
Office of the College of Engineering, Architecture and Industrial Design
Balance I Integrity I Stewardship I Uprightness
COURSE SYLLABUS
CO1
CO1 & CO2
CO3
demonstrating an
assessments and
awareness of its impact on
grading system.
individuals and society.
5. Discussion on the
importance and
• be able to comprehend the
application of the course
importance of promoting
in the computer
safe spaces that
engineering industry.
accommodate all genders,
6. Discussion of the ground
enabling them to foster an
rules for participation in
inclusive environment
classroom activities that
where every individual
emphasize active
feels respected, valued,
listening, empathy, and
and empowered
respect for all voices.
regardless of their chosen
gender orientation.
1. Logic, Sets, Proofs and
• Explain the basic
Functions
concepts of the basic
terms
• Prove different problems
that applies the concepts
• Discuss the concepts of 2. Algorithms, Integers and
Matrices
the basic terms
• Growth of Functions
• Apply the concepts in
• Complexity of Algorithms
solving mathematical and
computer programming
• Number Theory
problems
• Matrices
• Discuss the concepts of 3. Counting Techniques
the basic terms
9
• Lecture
discussion
• Problem solving
9
• Lecture
discussion
• Problem solving
6
• Lecture
discussion
• Problem solving
• Oral Participation
• Written
Examination
• Class Attendance
frequency
• Lecture
discussion
• Oral Participation
• Written
• Solve mathematical
problems
MIDTERM EXAMINATION
CO2
● Discuss the concepts
of the basic terms
F-AQA-INS-002 | Rev. 2 | 07/01/24 | Page 4 of 6
4. Relations
• Oral Participation
• Written
Examination
• Class Attendance
frequency
• Oral Participation
• Written
Examination
• Class Attendance
frequency
3
3
Republic of the Philippines
BOHOL ISLAND STATE UNIVERSITY
[Address, Zip Code, Bohol, Philippines]
Office of the College of Engineering, Architecture and Industrial Design
Balance I Integrity I Stewardship I Uprightness
COURSE SYLLABUS
• Illustrate the relations and
applications of data in
each system
● Differentiate the different
graphs for data
CO2 & CO3
• Illustrate how the
concepts of graph theory
are applied in real world
● Differentiate
the
different theories the
graphs for data
CO3
• Illustrate how the
concepts of trees are
applied in real world
• Discuss the different
modeling computation
techniques
CO4
Integration
Values:
Grading System:
of
Examination
• Class Attendance
frequency
5. Graph Theory
6
• Lecture
discussion
• Problem solving
• Oral Participation
• Written
Examination
• Class Attendance
frequency
6. Trees
3
• Lecture
discussion
• Problem solving
• Oral Participation
• Written
Examination
• Class Attendance
frequency
7. Introduction to Modeling
Computation
9
• Lecture
discussion
• Problem solving
• Simulation
• Oral Participation
• Written
Examination
• Class Attendance
frequency
FINAL EXAMINATION
3
• Apply the concepts
computer programming
References:
• Problem solving
Reference textbook
Discrete Mathematics: An Open Introduction, 3rd Ed. (2021)
Initiative, Patience, Perseverance, Critical Thinking, Intellectual Honesty, Innovativeness, Punctuality, Optimism, Diligence, Compassion and Selfworth
1. Major Exams
- 50 %
2. Class Standing (quizzes, class participation/assignments/exercises/ other outputs/ performances) - 50 %
F-AQA-INS-002 | Rev. 2 | 07/01/24 | Page 5 of 6
Republic of the Philippines
BOHOL ISLAND STATE UNIVERSITY
[Address, Zip Code, Bohol, Philippines]
Office of the College of Engineering, Architecture and Industrial Design
Balance I Integrity I Stewardship I Uprightness
COURSE SYLLABUS
TOTAL
100 %
Passing Grade: 3.0
Passing Score: 60% passing mark/transmutation of raw scores or cumulative related scores
Classroom Policies:
Condition for Passing:
The students should not have a grade lower than 3.0.
1. Attendance (excerpt from Student Handbook)
2. Punctuality
3. Policy for students on official travel and academic credits
4. Others:
a. Students must come to class prepared and have accomplished assignments due that day.
b. CHEATING is strictly prohibited. A student caught cheating and the student who allowed his/her work to be copied will both be given a
grade of 5.0 for that exam. If this happens again for the same students, they will be given a grade of 5.0 for the finals.
c. Special examinations are only given to students with valid reasons such as when the student is very sick or is representing the University
for any event that will be held outside the school campus (Refer to classroom Policies 3). However, a document that will prove the given
reason is to be passed to the instructor. As for other excuses, the instructor will determine its validity.
Designed by:
Reviewed by:
Approved:
Digitally signed
by Anuta
Edward Cabije
Date:
2025.01.15
11:22:00 +08'00'
EDWARD C. ANUTA, PhD.
Associate Professor V
F-AQA-INS-002 | Rev. 2 | 07/01/24 | Page 6 of 6
ROSELLE P. CIMAGALA, MSCpE
Chairperson, Computer Engineering Department
JULIUS C. CASTRO, MEng-CpE
Dean, CEAID