Mathematics in the Modern World

Knowledge

1. Discuss and argue about the nature of mathematics, what it is, 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;

Skills

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

5. Analyze codes and coding schemes used for identification, privacy, and security purposes;

6. Use mathematics in other areas such as finance;

Values

7. Appreciate the nature and uses of mathematics in everyday life; and,

8. Affirm honesty and integrity in the appreciation of mathematics to various human endeavors.

Lesson 01 - The Nature of Mathematics

• Lecture 01 - Patterns and Numbers in Nature and the World

• Lecture 02 - The Fibonacci Sequence

• Lecture 03 - Appreciation of Numbers

Lesson 02 - Mathematical Language and Symbols

• Lecture 04 - The Mathematical Language

• Lecture 05 - Sets, Functions, Relations, and Operations

• Lecture 06 - Logic

Lesson 03 - Problem Solving and Reasoning

• Lecture 07 - Inductive and Deductive Reasoning

• Lecture 08 - Problem Solving

• Lecture 09 - Recreational Problems

Lesson 04 - Data Management

• Lecture 10 - Basic Statistical Concepts

• Lecture 11 - Measures of Central Tendency

• Lecture 12 - Measures of Dispersion

• Lecture 13 - Measures of Relative Position

• Lecture 14 - Probability and the Normal Distribution

• Lecture 15 - Correlation and Linear Regression

Lesson 05 - The Mathematics of Finance

• Lecture 16 - Simple and Compound Interest

• Lecture 17 - Credit Cards and Consumer Loans

• Lecture 18 - Stocks, Bonds, and Mutual Funds

• Lecture 19 - Home Ownership

Lesson 06 - Codes

• Lecture 20 - Binary Codes

• Lecture 21 - Introduction to Modular Arithmetic

• Lecture 20 - Basic Cryptology

• Activities (14)

• Quizzes (6)

• Major Examinations (2 to 4)

• Projects (1 to 2)

Cut-off score for all course requirements is 50%. Due date for all submissions is set two weeks after it was assigned. Unless otherwise specified, all requirements are to be submitted to our Google Classroom or to my email julius.selle@ctu.edu.ph.

Evaluation Procedure:

Major Exams - 40%

Quizzes - 30%

Activities/Participation - 20%

Projects - 10%

TOTAL - 100%

• Adam, J. (2003). Mathematics in Nature: Modelling in the Natural World. Princeton University Press. [Lesson 1]

• Burns, C.F. (1998). One Mathematical Cat, Please!. [Lesson 2]

• Aufmann, et al. (2018). Mathematical Excursions. Cengage Learning. [Lesson 3, 4, 5]

• COMAP, Inc. (2015). For All Practical Purposes Mathematical Literacy in Today's World. Macmillan Learning WH Freeman. [Lesson 4, 5, 6]