mmwsyllabus_dec2018

DE LA SALLE UNIVERSITY MANILA
NEW LASALLIAN CORE CURRICULUM

MATHEMATICS IN TH

Course S

Lead Department: Mathematics and Statistics Depart

College: College of Science
Course Code: GEMATMW

Class Days and Time:
Team Instructors:

ESTIMATED TIME FOR STUDY OF A LEARNING UNIT OUTS

I. COURSE DESCRIPTION:

This course aims to discuss the nature of mathematics leading
dimensions. It includes the study of the nature of mathematics and
and dealing with various aspects of present day living such as manag
designs, understanding codes used in data transmissions and securi

UNIVERSITY ELGA: LEARNING OUTCOMES (LO
On completion of the course, th

Critical thinker Demonstrate knowledge and skills

Effective communicator the use of mathematical tools and
Reflective lifelong learner form.

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

HE MODERN WORLD

Syllabus

tment

SIDE CLASS: Room:
Consultation Hours: ________

14 HRS**

(See Independent Learning Time Allocation)

to appreciation of its practical, intellectual, social, and aesthetic
how the perception of this leads to different tools for understanding
ging personal finances, making social choices, appreciating geometric
ity, and dividing limited resources fairly.

O):
he student is expected to be able to:

s in mathematics to analyze personal and social problems through
to explain and present solutions effectively in written or oral

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NEW LASALLIAN CORE CURRICULUM

II. FINAL COURSE OUTPUT:

As evidence of attaining the above learning outcomes, the stu
indicated dates of the term.

LEARNING OUTCOME REQUIR

Demonstrate knowledge and skills in mathematics to • Indiv
analyze personal and social problems through the use • Grou
of mathematical tools and to explain and present
solutions effectively in written or oral form.

Whenever possible, the students will involve inputs from ind
applications of the mathematics they have learned in the cour

1. For the individual output, a student may choose fro
• Financial plan
• Critique of a mathematician’s essay or book
• Mathematical patterns in art designs
• Analysis of the mathematics behind an engin

2. The group learning output should exhibit the use o
solutions to a range of issues encompassing social, p
sciences, technology and the arts.

3. Each learning output may be presented in any of th
• Infographics
• Digital Stories
• Dance Choreography

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

udent is required to do and submit the following during the

RED OUTPUT DUE DATE
vidual Output
up Output

dustry practioners in order for them to see real-life
rse.

om any of the following options.

neering prototype, algorithm, or mathematical models
of mathematical reasoning, writing and proving in tackling
political, economic and financial aspects or involving natural

he following forms.

2

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• Art Design
• Mini-magazine (collection of at least 3 article
• Song/Rap/Poem
• Storyboard/Comics
• Play (Script, Act)

III. RUBRIC FOR ASSESSMENT:

CRITERIA EXCEPTIONAL SATISFAC

Understanding of Shows complete Shows near
mathematical and in-depth complete
concepts understanding of understand
the underlying problem’s
(REASONING) mathematical mathemati

25% concepts and concepts an
principles needed principles.
to tackle concepts
and solve problems

Justification of Demonstrates Demonstra
Approach logical and valid and valid r
reasoning in in presentin
(PROVING) presenting all arguments
arguments that the concept
25% cover the concepts discussed e
discussed few minor

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World
es)

CTORY DEVELOPING BEGINNING

rly Shows some Shows very limited
understanding of the or minimal
ding of the mathematical understanding of
concepts and the problem’s
ical principles needed to mathematical
nd solve the problem.
concepts and
principles.

ates logical Demonstrates logical Demonstrates
reasoning and valid reasoning illogical and invalid
ng all in some arguments reasoning in many
that cover the arguments.
that cover concepts discussed
ts but there are some
except for a major errors in the
errors discussions

3

DE LA SALLE UNIVERSITY MANILA
NEW LASALLIAN CORE CURRICULUM

CRITERIA EXCEPTIONAL SATISFAC

Clarity of Explanation Explanation is Explanatio
(WRITING IN MATH) well-written, but few sim
25% complete and details are
unambiguous. Terminolog
Integration with other Terminologies and symbols ar
disciplines symbols are used appropriat
correctly.
(INTERDISCIPLINARY Presents co
INTEGRATION) Presents concepts that make u
that make use of at least two o
25% least two other disciplinal
disciplinal perspective
perspectives, and shows subs
shows deep understand
understanding of through inn
mathematics as a solutions, b
tool in these disciplinal
disciplines through connection
innovative missed.
connections among
or solutions based
on varied
disciplinal
perspectives

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

CTORY DEVELOPING BEGINNING

on is clear Explanation is Explanation is
mple ambiguous and quite difficult to
missed. difficult to understand,
gies and understand. Some ambiguous and
re used symbols and incomplete.
tely. notations are used
inappropriately. Lacks presentation
oncepts of concepts using
use of at Presents concepts other disciplinal
other that make use of at perspectives
least one other
es and disciplinal
stantial perspective but some
ding details are
novative inaccurately stated
but a few

ns are

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IV. OTHER REQUIREMENTS AND ASSESSMENTS:

Aside from the final output, the student will be assessed at ot
• Position Paper
• Group Report (Case Study)
• Long Quizzes
• Assignment and Seatwork
• Blog/Video Blog/Journal
• Investagrams Virtual Stocks Portfolio (www.investagr

V. GRADING SYSTEM: 20%
15%
• Average of Quizzes 15%
• Assignment and Seatwork
• Blog/Journal 25%
• Learning Output 25%
100%
1. Individual
2. Group

Total

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World
ther times during the term by the following:
rams.com)

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NEW LASALLIAN CORE CURRICULUM
VI. LEARNING PLAN:

LEARNING TOPIC
OUTCOME

D

Recognize reasoning and 0. Course Introduction
proof as fundamental 1. Mathematics as a
aspects of mathematics and Language
use one’s knowledge and A. Logic and Reasoning
skills in constructing a B. Writing Mathematical
convincing argument for the
purpose of solving a Proofs
problem
How can I view mathematics
as a fundamental tool
applicable to a wide range of
disciplines?

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES
Cullinane, A
(for Transition to
Discussions) Mathematics with
Proofs
1 Logical Reasoning, pages
69-98
3 Student self-assessment
and reflection Nocon &Nocon,
Essential Mathematics
Seatwork and for the Modern World.
Assignments Mathematical Language,
Mathematical
Skills exercises Reasoning, pages 7-25

INDEPENDENT
LEARNING:
3 hours**
Research on Logic Puzzles
and Math Proofs

Week 2 – 3
Each student is to gather
2-3 logic puzzles and 2
mathematical proofs.

After studying the
solutions of the selected
logic puzzles and the
proofs, the student
submits a paper that

6

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NEW LASALLIAN CORE CURRICULUM

LEARNING TOPIC
OUTCOME

D

Form a solid understanding 2. Mathematics in Finance
of sound financial planning A. Personal Finances
that involves effective (savings,
money management and
reasonable investment stocks and bonds,
schemes credit card)
B. Taxation

How can I use mathematics
to gain financial literacy and
profitability?

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES

(for
Discussions)

explains the solutions and
proof.

Submission of
Individual Project

3 Money-Savings Blog Fuscaldo, D. Personal
Loans 101: Everything

Student self-assessment you need to know.

and reflection Nocon &Nocon,

Seatwork and Essential Mathematics
Assignments
for the Modern World.
Consumer Math, pages

Skills exercises 37-77

INDEPENDENT

LEARNING:
4 hours**
Virtual Stocks
(Investagrams portfolio)

Investment Plan

Week 1
Each student is to create
an Investagram account.
With Php300,000 virtual
money, s/he is to invest

7

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NEW LASALLIAN CORE CURRICULUM

LEARNING TOPIC
OUTCOME

D

Demonstrate understanding 3. Mathematics in Natural
of the presence of Sciences and the Arts
mathematics in nature and
in the arts, and recognize the A. Patterns and Isometries
usefulness of pattern B. Fibonacci Sequence and
recognition in solving real
life problems the
Golden Ratio

C. Fractals

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES

(for
Discussions)

in stocks and monitor his
profit for a period of 45
days.

Week 4-5
For the investment plan,
the student conducts a
research on the different
investment options that
s/he can pursue. He is to
submit his own
investment plan detailing
the amounts of
investment and expected
returns.

Submission of Initial
Project Proposal

2 Student self-assessment Tannenbaum,

and reflection Excursions in Modern

Mathematics

Seatwork and Symmetry, pages 324-
Assignments 339

Fractals, pages 356-368

Skills exercises Fibonacci, Golden Ratio
pages 388-400

INDEPENDENT Shesso, Math for
LEARNING: Mystics,

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NEW LASALLIAN CORE CURRICULUM

LEARNING TOPIC
OUTCOME

D

How is mathematics
involved in the design of
creative works?

Develop a repertoire of tools 4. Mathematics in
and principles for analyzing Decision
conflicts and group
decisions through the use of Sciences
mathematics
A. Games

B. Social choices

How can I use
mathematics to aid in

wise decision-making?

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES
Fibonacci, Golden Ratio,
(for pages 101-108
Discussions)

1 hour**
Creative designs of
wallpaper, rosette or frieze
patterns

Week 6
The student may create
the designs by hand or
by using any application
(e.g. Geogebra).

Submission of Final
Project Proposal

Long Quiz 1

3 Film showing Angel & Porter, A

Survey of

Student self-assessment Mathematics with
and reflection
Applications
Voting, pages 779-807

Seatwork and Sobecki and Bluman,
Assignments
Mathematics in Our
Skills exercises World
Voting, pages 690-714

INDEPENDENT Kolokoltsov and
LEARNING: Malafeyev,
Understanding Game
2 hours** Theory
Position paper

9

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NEW LASALLIAN CORE CURRICULUM

LEARNING TOPIC
OUTCOME

D

Exhibit understanding of the 5. Mathematics in
role of mathematics in Communication
digital communication
systems by constructing Technologies
diagrams that illustrate the A. Error Correction and
processes of encoding- Detection
decoding and encryption- B. Encryption and
decryption Decryption

How is mathematics utilized
in the development of the
digital communication
system?

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES

(for
Discussions)

Week 7-8 Prisoner’s Dilemma,
The students choose a pages 3-11
situation that involves
conflict and analyze it Nocon &Nocon,
using the concept of game Essential Mathematics
theory. A written report for the Modern World.
is a required output for Games, pages 139-150
this group activity. Social Choices, 157-172

Project Progress
Report 1

3-4 Student self-assessment Burger and Starbird,

and reflection The Heart of

Mathematics …

Seatwork and Bar Codes, pages 82-94
Assignments Cryptography, pages 95-
106

Skills exercises Nocon and Nocon,
Essential Mathematics
Laboratory work for the Modern World
Communicating
Film showing Efficiently, pages 89-105
Communicating
INDEPENDENT Securely, pages 106-130
LEARNING:
2 hours** Trappe and
Washington,
Introduction to

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NEW LASALLIAN CORE CURRICULUM

LEARNING TOPIC
OUTCOME

D

Show understanding of how 6. Mathematics for
to improve the efficiency of Efficiency
algorithms by giving an
analysis and presenting a A. Linear Programming
solution to a real life B. Shortest Path Problems
problem C. Transportation and

Assignment Problems

How can I use
mathematics to efficiently

manage operations?

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES
Cryptography with
(for Coding Theory
Discussions) Cryptography, pages 12-
33, 137-140
Simulation on related Coding Theory, pages
algorithms 295-301

Week 10
The student performs
actual computations that
apply the RSA
Cryptosystem in
enciphering and
deciphering messages.

Project Progress
Report 2

Long Quiz 2

4-5 Student self-assessment Nocon and Nocon,

and reflection Essential Mathematics

for the Modern World

Seatwork and Efficiency, pages 189-
Assignments 226

Skills exercises Smith, The Nature of

Laboratory work Mathematics
Networks, Graph
INDEPENDENT Theory, pages 407-431
LEARNING: Linear Programming,
2 hours** pages 843-850

11

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NEW LASALLIAN CORE CURRICULUM

LEARNING TOPIC
OUTCOME

D

The total number of meetings for discussions I have indicated ab
and 1 meeting for the presentation/submission of final project. H
suspensions and LASARE classes. This is really tight BUT ther
study.

VII. REFERENCES

Books

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

No. of LEARNING READINGS
Meetings ACTIVITIES

(for
Discussions)

Case study on applications
to logistics and optimization

Week 11-12

For this group activity,
students are asked to
identify one real life
problem and present its
solution using linear
programming. It may also
be an actual
transportation or
assignment problem.

Project Progress
Report 3

Presentation of the Final
Learning Output

bove is 19 (max of 21). There are 2 meetings for the long tests
Hence, we have about 2-4 meetings allowance for class
re are some lessons that can be assigned to the students for self-

12

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NEW LASALLIAN CORE CURRICULUM

Angel, A., Abbott, C. and Runde, D. (2016). A Survey of Mathe
Burger, E. and Starbird, M. (2005). The Heart of Mathematics, A
Cullinane, M. (2013). A Transition to Mathematics with Proofs. Jo
Feder, J. (1998). Fractals. Plenum Press.
Kappraff, J.(2001). Connections, The Geometric Bridge Between A
Kolokoltsov, V. and Malafeyev, O. (2010). Understanding Game
Lakatos, I. (2015). Proofs and Refutations: The Logic of Mathemati
Nocon, R. and Nocon, E. (2018). Essential Mathematics for the M
Shesso, R. (2007). Math for Mystics, Red Wheel/Weiser, LLC.
Sobecki, D. and Bluman A. (2015). Mathematics in Our World. M
Smith, K. (2013). Mathematics, Its Power & Utility, Thomson Br
Sundstrom, T. (2007). Mathematical Reasoning, Writing and Proo
Talwalkar, P. (2014). The Joy of Game Theory, an Introduction to
Platform.
Tannenbaum, P. (2018). Excursions in Modern Mathematics, Pea
Trappe W. and Washington, L. (2002). Introduction to Cryptogr

Online Resources

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World

ematics with Applications, Pearson.
An invitation to effective thinking. Key College Publishing.

ones & Bartnett Learning, LLC.

Art and Science. World Scientific Publishing Co. Pte. Ltd.
e Theory. World Scientific.
ical Discovery. Cambridge University Press.
Modern World. C & E. Publishing House.

McGraw-Hill.
rooks/Cole.
of. Pearson Education, Inc.
Strategic Thinking, CreateSpace Independent Publishing

arson Education, Inc.
raphy with Coding Theory, Prentice-Hall, Inc.

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Brown, B. Prim's Algorithm: Minimal Spanning Tree. https://www.
Fuscaldo, D. Personal Loans 101: Everything you need to know. R
https://www.bankrate.com/finance/loans/personal-loans-1
Kenny, T. Differences between stocks and bonds. Retrieved March
difference-between-stocks-and-bonds-417069.
Bitcoin: How Cryptocurrencies Work, https://www.youtube.com
Cryptography: The Science of Making and Breaking Codes. https:/
David Bailey's World of Escher-like Tessellations, http://www.te
Fibonacci Sequence: The Nature’s Code. https://www.youtube.c
Game Theory: The Science of Decision Making, https://www.you

Linear Programming: Introduction, http://www.purplemath.co
The Black Chamber, https://simonsingh.net/The_Black_Cham
The enigma of WWII codebreaker Alan Turing https://www.you
The Enigma Machine Explained https://www.youtube.com/wa
158,962,555,217,826,360,000 (Enigma Machine) – Numberphile ht
What is a Digital Signature? https://www.youtube.com/watch
Blockchain tutorial 6: Digital signature https://www.youtube.co

MAY2018nocone/ocampos/cantubar

Mathematics in the Modern World
.youtube.com/watch?v=YyLaRffCdk4
Retrieved March 30, 2018 from
101.aspx.
h 30, 2018 from https://www.thebalance.com/the-

m/watch?v=kubGCSj5y3k
//www.youtube.com/watch?v=-yFZGF8FHSg&t=58s
ess-elation.co.uk.
com/watch?v=wTlw7fNcO-0&t=46s
utube.com/watch?v=MHS-htjGgSY
om/modules/linprog.htm
mber/
utube.com/watch?v=nEomYB94TTI
atch?v=ASfAPOiq_eQ
ttps://www.youtube.com/watch?v=G2_Q9FoD-oQ
h?v=VIcBpRpiBoc
om/watch?v=OKg4PqD01Z0

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Public Key Cryptography: RSA Encryption Algorithm https://ww

Mathematics - The Language of the Universe - Full Documentary F

Stock Markets in Plain English Animated https://www.youtube

How Your Money Grow With Stocks? https://www.youtube.co

Stock Exchange Explained In 2 Minutes https://www.youtube.c

VIII. CLASSROOM POLICIES

1. As a general policy, no special or make-up tests for mis
give special exams for

a. approved absences (where the student concerne
activity).
b. absences due to serious illness which require h
the faculty member deems meritorious.


2. If the student has no valid reason for missing an exam
exam) then the student receives 0% for the missed quiz

3. Learning outputs are required and not optional to pass
4. Mobile phones and other forms of communication dev
5. Students are expected to be attentive and exhibit the be

They are also expected to come to class on time and pr
6. Sleeping, bringing in food and drinks, and wearing a c

MAY2018nocone/ocampos/cantubar