Department of Arts and Sciences Education
GE 4 – Course Syllabus
COURSE INFORMATION
1. Course Number
2. Course Name
3. Course Description
4.
5.
6.
7.
8.
: GE 4
: Mathematics in the Modern World
:
This course deals with nature of mathematics, appreciation of its
practical, intellectual, and aesthetic dimensions, and application of
mathematical tools in daily life.
Pre-requisite
: None
Co-requisite
: None
Credit
: 3 units
Class schedule
: 6 hours per week
General Education Student Outcomes (CMO 20 s. 2013):
Upon completion of the course, the student graduates shall:
1. Exhibit proficient and effective communication;
2. Demonstrate critical, analytical, and creative thinking;
3. Rationally evaluate Filipino cultural values;
4. Personally, and meaningfully assess contemporary social issues;
5. Manifest the ability to appreciate artistic beauty through objective evaluation of works of art;
6. Rationally evaluate moral norms/imperatives as they affect individuals and society.
7. Demonstrate knowledge and skills in Mathematics and Natural Sciences to analyze problems
through the use of mathematical and scientific tools to explain and present solutions effectively
in written and oral form.
9.
Course Outcomes (SO) of GE 4 and their links to GESO:
Upon completion of the course, the BS Psychology students
are expected to:
CO 1
CO 2
Discuss the nature of Mathematics, its types of reasoning,
language, and symbols and use a variety of statistical tool to
process and manage numerical data.
Analyze codes and coding schemes used for identification,
privacy and security purposes.
SO
3 4
1
2
5
6
7
P
L
L
P
L
L
Apply Mathematics in areas such as finance, voting, health
P L
and medicine, environment, arts and design and recreation.
Legend:
L = Facilitates learning of the competencies (input is provided and competency is evaluated).
P = Allows student to practice competencies (no input but competency is evaluated).
O = Opportunity for development (no input or evaluation, but there is opportunity to practice the
competencies).
CO 3
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 1 of 8
L
Department of Arts and Sciences Education
GE 4 – Course Syllabus
VISION
By 2022, a globally recognized
institution providing quality,
affordable and open education.
MISSION
Provide a dynamic and supportive
academic environment through the
highest standard of instruction,
research and extension in a nonsectarian institution committed to
democratizing access to education.
VALUES
Excellence, Honesty and Integrity,
Innovation and Teamwork
CORE COMPETENCY
General Education Student Outcomes
Course Outcomes (CO)
1) Exhibit proficient and effective
communication;
2) Demonstrate critical, analytical, and
creative thinking;
3) Rationally evaluate Filipino cultural
values;
4) Personally, and meaningfully assess
contemporary social issues;
5) Manifest the ability to appreciate
artistic beauty through objective
evaluation of works of art;
6) Rationally evaluate moral
norms/imperatives as they affect
individuals and society.
7) Demonstrate knowledge and skills in
Mathematics and Natural Sciences to
analyze problems through the use of
mathematical and scientific tools to
explain and present solutions
effectively in written and oral form.
1) Discuss the nature of Mathematics,
its types of reasoning, language,
and symbols and use a variety of
statistical tool to process and
manage numerical data.
Quality, Affordable, and Open
Education
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 2 of 8
2) Analyze codes and coding schemes
used for identification, privacy and
security purposes.
3) Apply Mathematics in areas such
as finance, voting, health and
medicine, environment, arts and
design and recreation.
Department of Arts and Sciences Education
GE 4 – Course Syllabus
10. CO and Assessment task alignment
Assessment Task
Theory-based
Practice-based
CO
1. Discuss the nature of
Mathematics, its types of
reasoning, language, and
symbols and use a variety
of statistical tool to
process and manage
numerical data.
2. Analyze codes and
coding schemes used for
identification, privacy and
security purposes.
Problem Solving
Questions
N/A
Assessment
Schedule
First Exam
Problem Solving
Questions
N/A
Second Exam
Coverage
Topics I - IV
Topics V - VI
3. Apply Mathematics in
Problem Solving
N/A
Third Exam
Topics VII - IX
areas such as finance,
Questions
voting, health and
medicine, environment,
arts and design and
recreation.
*Final assessment will be a comprehensive examination (from first topic to the last) in a Multiple Choice
Questions
11. Assessment Task Details (Theory-based)
Assessment
Schedule
Coverage
Assessment
Task
First Exam
Week 1 – 3
Problem Solving
Questions
(100% of the
exam)
Details
You are expected to identify patterns in nature and
regularities in the world, understand the importance of
Mathematics in one’s life, express language, symbols and
conventions of Mathematics and perform operations on
Mathematical expressions correctly, use different types of
reasoning to justify statements and arguments about
mathematical concepts, write clear logical proofs, solve
problems involving patterns and recreational problems
following Polya’s four steps, and use variety of statistical
tools to process and manage numerical data.
Second
Week 4 – 5 Problem Solving You are expected to apply concepts, especially isometries
Exam
Questions
in describing and creating designs and use coding
(100% of the
schemes to encode and decode different types of
exam)
information for identification, privacy, and security
purposes
Third Exam
Week 6 – 7 Problem Solving You are expected to use mathematical concepts and tools
Questions
in other areas such as in finance, voting, logic, business,
(100% of the
networks and systems using linear equalities, linear
exam)
programming and simplex method.
*Final assessment will be a comprehensive examination (from first topic to the last) in a Multiple
Choice Questions
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 3 of 8
Department of Arts and Sciences Education
GE 4 – Course Syllabus
12. COURSE OUTLINE AND TIME FRAME
TIME
FRAME
Week 1,
2, and 3
TOPICS
TLA
Orientation
A. UM Vision, Mission, and
Goals
B. School Rules and
Regulations
C. School Logo and
School Hymn
D. Grading System
E. Requirements and other
concerns
The Nature of Mathematics
I. Mathematics in our World
•
•
•
•
Patterns and Numbers
in Nature and the
World
The Fibonacci
Sequence
Appreciation of
Numbers
Growing up with
Numbers
II. Mathematical Language
and Symbols
•
•
•
Conversion of English
Expression to
Mathematical
Sentences and ViceVersa
Conversion of
Algebraic Expressions
to English Sentences
Other Languages of
Mathematics
Required Readings
• Self-introduction
• Oral presentation in a
creative way
• Pair Activity
UM Students Manual
Alejan, R., Veloria, E., et
al. (2018). Mathematics in
the modern world. Mutya
Publishing House, Inc.
•
•
•
•
•
•
•
•
•
Lecture
Group
Discussion
Illustration
Board work
Envoy Method
Compare and
Contrast
Method
Graded
Recitation
Inductive and
Deductive
Approach
Think-PairShare Activity
Aufmann, R., Lockwood,
J., Nation, R., Clegg, D. &
Epp S.S. (2018).
Mathematics in the modern
world. Cengage Learning
Earnhart, R. T. & Adina,
E.M. (2018). Mathematics
in the modern world. 839
EDSA, South Triangle,
Quezon City: C&E
Publishing, Inc.
Nocon, R.C & Nocon, E.G.
(2018).Essential
Mathematics for the
modern world.. 839 EDSA,
South Triangle, Quezon
City: C&E Publishing, Inc.
Alejan, R., Veloria, E., et
al. (2018). Mathematics in
the modern world. Mutya
Publishing House, Inc.
III. Problem Solving and
Reasoning
• Reasoning
• Deductive Reasoning
• Mathematical Induction
• Problem-Solving
- Polya’s Four-Step
Approach to ProblemSolving
Aufmann, R., Lockwood,
J., Nation, R., Clegg, D. &
Epp S.S. (2018).
Mathematics in the modern
world. Cengage Learning
Mathematics as a Tool
IV. Data Management
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 4 of 8
Department of Arts and Sciences Education
GE 4 – Course Syllabus
Basic Statistical Concepts
•
•
•
•
•
•
Week 4
and 5
Measures of Central
Tendency
Measures of
Dispersion
Measures of Relative
Position
Normal Distribution
Correlation and Linear
Regression
Correlation and
Causation
FIRST EXAMINATION
V. Geometric Designs
•
Recognizing and
analyzing geometric
shapes
•
Patterns and Diagrams
•
•
•
•
VI. Codes
•
•
•
•
•
Binary Codes and Bits
The Decimal Number
System
Conversion of Binary
Numbers to Decimal
Numbers
Decimal to Binary
Operations of Binary
Numbers
•
•
Demonstration
Compare and
Contrast
Method
Graded
Recitation
Inductive and
Deductive
Approach
Think-PairShare Activity
Board work
•
•
•
•
•
•
Aufmann, R., Lockwood,
J., Nation, R., Clegg, D. &
Epp S.S. (2018).
Mathematics in the modern
world. Cengage Learning
Earnhart, R. T. & Adina,
E.M. (2018). Mathematics
in the modern world. 839
EDSA, South Triangle,
Quezon City: C&E
Publishing, Inc.
Nocon, R.C & Nocon, E.G.
(2018).Essential
Mathematics for the
modern world.. 839 EDSA,
South Triangle, Quezon
City: C&E Publishing, Inc.
Errors and Error Correction
•
Alejan, R., Veloria, E., et
al. (2018). Mathematics in
the modern world. Mutya
Publishing House, Inc.
Errors in Computers
Defined
Types of Errors
Error Detecting Codes
Hamming Code
Redundancy Bit
Number of Parity Bits
Constructing a Bit
Location Table
SECOND EXAMINATION
Week 6
and 7
VII. Linear Programming
•
•
•
Graphical Method
System of Linear
Inequalities
Graphical Solution of
a Linear
Programming
GE 4 – Mathematics in the Modern
World
Alejan, R., Veloria, E., et
al. (2018). Mathematics in
the modern world. Mutya
Publishing House, Inc.
•
•
Prepared date:
Dec. 2020
Lecture
Demonstration
Revision
No. 02
Aufmann, R., Lockwood,
J., Nation, R., Clegg, D. &
Effectivity:
January 2021
Page 5 of 8
Department of Arts and Sciences Education
GE 4 – Course Syllabus
Problem
- Steps in Formulating
•
•
a
- Linear Programming
•
Model
- Simplex Method
VIII. The Mathematics of
Finance
•
•
•
•
•
•
Group
Discussion
Graded
Recitation
Think-PairShare Activity
Board work
Interest
Maturity or Future
Value
Compound Interest
Credit Cards and
Consumer Loans
Stocks, Bonds and
Mutual Funds
Epp S.S. (2018).
Mathematics in the modern
world. Cengage Learning
Earnhart, R. T. & Adina,
E.M. (2018). Mathematics
in the modern world. 839
EDSA, South Triangle,
Quezon City: C&E
Publishing, Inc.
Nocon, R.C & Nocon, E.G.
(2018).Essential
Mathematics for the
modern world.. 839 EDSA,
South Triangle, Quezon
City: C&E Publishing, Inc.
IX. Apportionment and
Voting
Week 8
and 9
Introduction to Apportionment
• Flaws of
Apportionment
• Introduction to Voting
• Flaws of Voting
Systems
• Weighted Voting
Systems
THIRD EXAMINATION
X. The Mathematics of
Graphs
• Group Activity
• Graphs and Euler’s
• Board Work
circuits
• Illustration
• Basic Graph
• LectureTerminologies
Discussion
• Weighted Graphs
• Oral Recitation
• Planar Graph
• Problem Solving
• Envoy Method
XII. Logic
•
•
Aufmann, R., Lockwood,
J., Nation, R., Clegg, D. &
Epp S.S. (2018).
Mathematics in the modern
world. Cengage Learning
Earnhart, R. T. & Adina,
E.M. (2018). Mathematics
in the modern world. 839
EDSA, South Triangle,
Quezon City: C&E
Publishing, Inc.
XI. Mathematical Systems
• Modular Arithmetic
• Applications
•
•
Alejan, R., Veloria, E., et
al. (2018). Mathematics in
the modern world. Mutya
Publishing House, Inc.
Propositional Logic
Compound
Proposition
Logical Operations
Propositions and
Truth Tables
Nocon, R.C & Nocon, E.G.
(2018).Essential
Mathematics for the
modern world.. 839 EDSA,
South Triangle, Quezon
City: C&E Publishing, Inc.
FINAL EXAMINATION
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 6 of 8
Department of Arts and Sciences Education
GE 4 – Course Syllabus
13. REFERENCES
Textbook
Alejan, R., Veloria, E., et al. (2018). Mathematics in the modern world. Mutya Publishing House, Inc.
Books
a. ) Aufmann, R., Lockwood, J., Nation, R., Clegg, D. & Epp S.S. (2018). Mathematics in the modern world.
Cengage Learning.
a) Earnhart, R. T. & Adina, E.M. (2018). Mathematics in the modern world. 839 EDSA, South Triangle,
Quezon City: C&E Publishing, Inc.
b) Nocon, R.C & Nocon, E.G. (2018).Essential Mathematics for the modern world. 839 EDSA, South
Triangle, Quezon City: C&E Publishing, Inc.
Online
a)
Mathematics - applied mathematics; findings in applied mathematics reported from
university of
toronto L(2,1)-labeling of kneser graphs and coloring squares of kneser
graphs]. (2017, Apr 23). Journal of Technology & Science Retrieved from
https://search.proquest.com/docview/1887091413?accountid=31259
14. COURSE EVALUATION
Assessment
Weights
EXAMINATIONS
A Examination
1st – 10%
2nd – 10%
3rd – 10%
B Final Examination
30%
40%
CLASS PARTICIPATIONS
C Quizzes, Assignments, Oral Recitation
D Research
Total
10%
20%
100%
15. Policies and Guidelines
a. Attendance is counted from the first regular class meeting.
b. A validated student identification card must always be worn by all students while attending classes.
c. Cheating is strictly prohibited. Any form of dishonesty shall be dealt with accordingly. Honesty is
called for at all times.
d. Valid examination permits are necessary in taking the examinations as scheduled. CELLULAR
PHONES or any ELECTRONIC GADGETS and PRESCRIBED PRC CALCULATORS are NOT
allowed during EXAMINATIONS.
e. Base-15 grading policy should be observed. Students who obtained failing scores in major exams are
recommended to attend the tutorial class.
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 7 of 8
Department of Arts and Sciences Education
GE 4 – Course Syllabus
Prepared by:
References reviewed by:
NOEL T. CASOCOT, EdD
Faculty
CLARISSA R. DONAYRE, MSLS
Chief Learning Information
REX L. SARVIDA, MS
Faculty
Reviewed by:
Recommending approval:
LARCYNEIL P. PASCUAL, PhD
Assistant Dean
GINA FE G. ISRAEL, EdD
Dean of College
Approved by:
PEDRITO M. CASTILLO II, EdD
AVP, Learning Innovation and Design
GE 4 – Mathematics in the Modern
World
Prepared date:
Dec. 2020
Revision
No. 02
Effectivity:
January 2021
Page 8 of 8