Math in the Modern World
Weekly Class Expectations
Assoc. Prof. Ninia I. Calaca, MA, MPhil
Weekly Class Expectations
Day 1 Day 2 Day 3 Day 4 Day 5 Day 6
Monday Tuesday Wednesday Thursday Friday Saturday
Orientation
Personalizing your UST Cloud Campus
Week 1
Course Site
August 13-15
Course Orientation/ Survey/ Assignment
Mathematics in our World Mathematics in our World
A. Patterns and Numbers in B. The Fibonacci Sequence
Nature and the World C. Natural and Geometric Patterns
Week 2 Online Classroom discussion/ Online Classroom discussion/
August 17-22 Powerpoint presentation/ Powerpoint presentation/
Notes uploaded Notes uploaded
Discussion Thread Discussion Thread
Assessment Assessment
Synchronous activities (including those promoting dialogue) Asynchronous activities Summative Assessments
MATHEMATICS IN THE MODERN WORLD
Assoc. Prof. Ninia Calaca
What is Mathematics for you?
Express your idea of maths in
symbols and figures
4
Title: Mathematics in the Modern World
Description: Nature of Mathematics, appreciation
of its practical, intellectual, and aesthetic
dimensions, and application of mathematical tools
in daily life.
Mga elemento ng matematika, pagpapahalaga
sa mga praktikal, intelektuwal, at estetikong
dimensiyon nito; at gamit ng matematika sa araw
araw na buhay.
CHED MEMORANDUM ORDER No. 20
Series of 2013
Mathematics in the Modern World Course Syllabus
Course Outline
Section 1: The Nature of Mathematics
I. Mathematics in our World
II. Mathematical Language and Symbols
III. Problem Solving and Reasoning
Section 2: Mathematics as a Tool
I. Data Management
II. Choose two or three additional topics
Mathematics in our World
Core Idea: Mathematics is a useful way to think
about nature and our world.
1. Patterns and Numbers in Nature and the World
2. The Fibonacci Sequence
3. Mathematics helps organize patterns and
regularities in the world.
4. Mathematics helps predict the behaviour of
nature and phenomena in the world.
5. Mathematics helps control nature and
occurrences in the world for our own ends.
6. Mathematics has numerous applications in the
world making it indispensable.
Mathematical Language and Symbols
Core Idea: Like any language, mathematics has its
own symbols, syntax and rules.
1. Characteristics of mathematical language:
precise, concise, powerful
2. Expressions vs. sentences
3. Conventions in the mathematical language
4. Four basic concepts: sets, functions, relations,
binary operations
5. Elementary logic: connectives, quantifiers,
negation, variables
6. Formality
Problem Solving and Reasoning
Core Idea: Mathematics is not just about numbers;
much of it is problem solving and reasoning.
1. Inductive and deductive reasoning
2. Intuition, proof and certainty
3. Polya’s 4 steps in problem solving
4. Problem solving strategies
5. Mathematical problems involving patterns
6. Recreational problems using mathematics
Data Management
Core Idea: Statistical tools derived from
mathematics are useful in processing and
managing numerical data in order to describe a
phenomenon and predict values.
1. Review: Descriptive Statistics, Normal
Distribution, Hypothesis Testing, Regression and
Correlation
2. Chi – Square
3. Planning or Conducting an Experiment or Study
Codes
Core Idea: The utility of mathematics goes beyond
the mundane. Mathematics enables development
of codes and ciphers that are useful to individuals
and to society.
1. Binary Codes
2. Integers in computers
3. Logic and computer addition
4. Text Data
5. Errors and error connection
6. Error detecting codes
7. Repetition and Hamming Codes
Linear Programming
1. Linear Inequalities
2. Geometry of Linear Programming
3. Simplex Method
The Mathematics of Finance
1. Simple and Compound Interest
2. Credit Cards and Consumer Loans
3. Stocks, Bonds and Mutual Funds
4. Home ownership
Apportionment and Voting
1. Introduction to Apportionment
2. Introduction to Voting
3. Weighted Voting Systems
The Mathematics of Graphs
1. Graphs and Euler Circuits
2. Weighted Graphs
3. Euler’s Formula
4. Graph Coloring
The Mathematical Systems
1. Modular Arithmetic
2. Applications
3. Group Theory
5 6 1
3
2
4
Nature’s Numbers
http://williepietersen.com/the-lessons-of-the-blind-men-and-the-elephant-2/
Zoo keeper: “You are all right. This
elephant seems like something different
to each one of you. And the only way to
know what this thing really is, is to do
exactly what you have done. Only by
sharing what each of you knows can
you possibly reach a true
understanding.”
WEEK CONTENT 1st Half Activities Assessment
Course Orientation/ Survey/ 8/13 – 8/14 Lecture Notes uploaded / made 10 item quiz
1
Assignment 8/24 – 8/28 available 1-5 problem sets
2 Mathematics in our World Discussion Thread for consultation
3 Lecture Notes uploaded /made available 10 item quiz
Mathematical Language and
8/24 – 8/28 Discussion Thread for consultation 1-5 problem sets
4 Symbols
5 Lecture Notes uploaded /made available 10 item quiz
Problem Solving and Reasoning 9/1 – 9/4 Discussion Thread for consultation 1-5 problem sets
6
7 Lecture Notes uploaded /made available 10 item quiz
Introductory Statistics: Data
9/7 – 9/11 Discussion Thread for consultation 1-5 problem sets
8 Management
PRELIMINARY EXAMINATION 9/14 - 9/18
9
(March 23-28)
Introductory Statistics: Normal Lecture Notes uploaded /made available
10
Distribution 9/21 – 9/25 Discussion Thread for consultation 10 item quiz
Introductory Statistics: Correlation 1-5 problem sets
11
and Regression
12 Lecture Notes uploaded /made available
Apportionment / Chosen Topic 1 9/28 – 10/2 Discussion Thread for consultation 10 item quiz
13
1-5 problem sets
14 Lecture Notes uploaded /made available
Voting/ Chosen Topic 1 10/5 – 10/9 Discussion Thread for consultation
15
16 Lecture Notes uploaded/ made available 10 item quiz
Mathematical Systems/ Chosen
Discussion Thread for consultation 1-5 problem sets
17 Topic 2
18 FINAL EXAMINATION 10/12 – 10/16 ___ points final test
17
Activity for Today:
- Survey
- Assignment
18
END OF ORIENTATION
