Course Syllabus

OLFU VISION

A premier inclusive university of choice aspiring to improve man as man by developing individuals through a legacy of excellent education and compassionate value formation

OLFU MISSION

OLFU CORE VALUES

The Our Lady of Fatima University together with Fatima Medical Science Foundation, Inc. dedicated to the improvement  of man as man through the holistic formation of individuals imbued with knowledge, skills and virtues

To achieve this end, the university aims to:

·         Commit itself to the service of society through quality education;

·         Develop the capabilities of individuals in order to maximize their potentials;

·         Nurture future professionals with the requisite academic foundation and conventional skills so as to mold them into highly-respected leaders and members of society;

·         Respond effectively to the changing needs and conditions of the times through continuing professional education and research;

·         Inculcate social awareness through community outreach program;

·         Imbue a deep sense of nationalism and pride in our Filipino heritage;

·         Uphold virtues of truth, justice integrity, compassion and faith in God.

Through innovative learning strategies focused on strong and updated academic foundation with enhanced industry skills and experience, a graduate of OLFU is expected to be an ACHIEVER. In the community and in the workplace, an OLFU graduate will be known as a person who:

A –      Aspires To Do His Best

C –       Credible And Compassionate

H –      Hardworking And Honorable

I –        An Inspiration To Others

E –         Efficient, Effective and Ethical

V –      Visionary

E –       Entrepreneurial, Employable and Has Excellent Work Habits

R –       Responsible

CAS MISSION

CAS VISION

The College of Arts and Sciences is a recognized academic leader engaged in “improving man as man” through provision of a liberal education which will prepare graduates to live responsible, productive and creative lives in a changing world

The College of Arts and Sciences commits itself in providing quality learning experiences at the undergraduate level through excellence in teaching, scholarship and service.

COURSE SYLLABUS

Mathematics in the Modern World ( 3 UNITS)

COLLEGE

ARTS AND SCIENCES

COURSE DESCRIPTION

             The course deals with the nature of mathematics, appreciation of its practical, intellectual and aesthetic dimension and application of mathematical tools in daily life.

The course begins with an introduction to the nature of mathematics as an exploration of patterns (in nature and the environment) and as an application of inductive and deductive reasoning. By exploring these topics, the students are encouraged to go beyond the typical understanding of mathematics as merely a set of formulas but as a source of aesthetics in patterns of nature, for example, and rich language itself (and or science) governed by logic and reasoning.

The course then proceeds to survey ways in which mathematics provides a tool for understanding and dealing with various aspects of present-day living, such as managing personal finances, making social choices, appreciating geometric designs, understanding codes used in data transmission and security and dividing limited resources fairly. 

COURSE OUTCOMES (CO)

After successful completion of Mathematics in the Modern World, the  students should already have:

1. The knowledge of the nature of Mathematics, how it is expressed, represented and used.

2.  Use different types of reasoning to justify statements and arguments made about mathematics and mathematical concepts.

3.  Discuss the language and symbols of mathematics and to  use a variety of statistical tools to process and manage numerical data.

4.  Analyze codes and coding scheme used for identification, privacy and security purposes and   Use mathematics in other areas such as finance, voting, health, and medicine, business, environment, arts and design and recreation.

5.  Appreciate the nature and uses of mathematics in everyday life and affirm honesty and integrity in the application of mathematics to various human endeavors.

DEPARTMENT

MATHEMATICS AND PHYSICS

COURSE CODE

MATM 111

DESCRIPTIVE TITLE

Mathematics in the Modern World

PREREQUISITE (S)

None

CREDIT UNIT (S) 

3  units

CONTACT HOURS

PER SESSION:

Lecture:  1.5  Hrs

WEEK

UNIT OUTCOMES (UO)

COURSE CONTENT

1

o Explain coherently the mission and vision of the Our Lady of Fatima University

o Relate effectively the mission and vision of OLFU to their respective field of study

o Suggest objective policies to be observed in the classroom in consonance with the rules and regulations in the OLFU Student Handbook

o Identify patterns in nature and regularities, in the world.

o Articulate the importance of mathematics in one’s life

o OLFU Mission and Vision

o OLFU Rules and Regulations Based on the Student Handbook.

I.  The Nature of Mathematics

oNature of Mathematics

2

o Argue about the nature of mathematics, what it is, how it is expressed, presented and used

o Express appreciation for mathematics as human endeavor

I.  The Nature of Mathematics

o Pattern and Numbers in Nature and the World.

o Fibonacci Sequence

3

o Discuss the language, symbols and conventions of mathematics

o Explain the nature of mathematics as a language

o Perform operations on mathematical expressions completely.

o Acknowledge that mathematics is a useful language.

o    Mathematical language and symbols syntax and rules.

o    Characteristics of Mathematical language.

o    Expression vs sentences

o    Conventions in the mathematical language

o    Four Basic Concepts: sets, function, relations, binary   operation.

o    Elementary logic: connectives, quantifiers, negation, variables

o    Formality

4

o Use different types of reasoning to justify statements and arguments made about mathematics and mathematics and mathematical concepts.

o Write clear and logical proofs.

o Solve problems involving patterns and recreational problems following the Polya’s four steps

o Organize one’s methods and approaches for proving and solving problems.

o Problem Solving And Reasoning

o Inductive and Deductive Reasoning

o Intuition, proof and certainty

o Polya’s 4-steps in Problem Solving

o Problem Solving strategies

o Mathematical Problems involving Patterns

o Recreational Problems using mathematics

5

o Use a variety of statistical tools to process and manage numerical data.

II.  Mathematics as a Tool (part 1)

o Data Management

o Data: Gathering and Organizing, representing and interpreting 

o Measure of Central Tendency

(ungrouped)

6

PRELIM EXAMINATION

 7

o Use a variety of statistical tools to process and manage numerical data.

o Quantiles

o Measures of Dispersion: Range, standard deviation and variance

8

      Interpretations of computed measure of central tendency and    measure of dispersion

9

o Use the methods of linear regression and correlations to predict the value of a variable given of a variable given conditions

o Advocate the use of statistical data in making important decisions

o Normal Distribution

10

o Regression and Correlation

11

12

MIDTERM EXAMINATION

13

o Use coding schemes to encode and decode different types of information for identification, privacy and security purposes.

o Exemplify honesty and integrity when using codes for security purposes.

I.  Mathematics as a Tool (part 2)

Codes

o   Binary Codes

o Text data

o Errors and error correction

o Error detecting codes

Repetition and Hamming Codes

14

15

o Use mathematical concepts and tools in other areas such as in other areas such as apportionment and voting,

Apportionment and Voting

o Introduction to Apportionment

16

o Introduction to Voting

o Weighted Voting Systems

17

18

FINAL EXAMINATION

TEXTBOOKS

• Clark, William D. (2019). Easy math step by step : master high frequency concepts and skills for mathematical proficiency-fast, 2nd ed.. New York : McGraw-Hill Education. 510.71 C54 2019
• Haigh, John (2019). Mathematics in Everyday Life, 2^nd Ed
• Roy, Toni (2020). Symbolic logic: An Accessible Introduction to Serious Mathematical Logic.
• Sobecki, Dave (2019). Math in Our World, 4^th New York: Mc Graw-Hill. 510. 1 S1 2019 c
• Sobecki D. and Bluman A.(2019). Math in our World.

GRADING SYSTEM

The final grade of the student is interpreted as shown on the table below:

AVERAGE

ABOVE 98.00

95.00 – 97.00

94.00

89.00-91.00

86.00-88.00

83.00 – 85.00

80.00-82.00

76.00-79.00

75.00

74.00 and below

FINAL GRADE

1.00

1.25

1.50

1.75

2.0

2.25

2.50

2.75

3.00

5.0

FDA (Failure due to Absences)               UW   (Unauthorized Withdrawal)                             INC (Incomplete)

AW (authorized withdrawal                    NFE (No Final Examination

 Prelims (20%)       +                Midterms (20%)      +      Finals (20%)    +      Performance Task (40%)