Mathematics in The Modern World

CHAPTER I   Mathematics in the World

Intended Learning Outcomes

• Identify patterns in nature and regularities in the world.

• Articulate the importance of mathematics in one's life.

• Argue about the nature of mathematics, what it is, how it is expressed, represented, and used.

• Express appreciation for mathematics as a human endeavor.

Lectures:

• Lecture 01 - Patterns and Numbers in Nature

• Lecture 02 - The Fibonacci Sequence

• Lecture 03 - Mathematics for our World

Quiz :

• Quiz No. 01 - Patterns and Numbers in Nature and the World

• Quiz No. 02 -  The Fibonacci Sequence

Activity: 

• Activity No. 01 - Pitik sa Nature! 

• Activity No. 02 - Are you a golden person? 

• Activity No. 03 - Indispensable Mathematics

CHAPTER II   Mathematical Language and Symbol

Intended Learning Outcomes

• Discuss the language, symbols, and conventions of mathematics

• Explain the nature of mathematics as a language

• Perform operations on mathematical expressions correctly

• Acknowledge that mathematics is a useful language

Lectures

• Lecture 04 - The Language of Mathematics

• Lecture 05 - Expressions vs Sentences and Conventions in the Mathematical Language

• Lecture 06 - The Four Basic Concepts of Mathematics : Sets | Relations | Functions | Operations

• Lecture 07 - Mathematical Logic

Quiz : 

• Quiz No. 03 - The Language of Mathematics

• Quiz No. 04 - The Four Basic Concepts of Mathematics

  • • • • • • • Download Quiz No. 04 Questionnaire

• Quiz No. 05 - Mathematical Logic

  • • • • • • • Download Quiz No. 05 Questionnaire

Activity:

CHAPTER III   Problem Solving and Reasoning

Intended Learning Outcomes

• Use different types of reasoning to justify statements made about mathematics and mathematical concepts

• Write clear and logical proofs

• Solve problems involving patterns and recreational problems following Polya's four steps

• Organize one's methods and approaches for proving and solving problems

Lectures

• Lecture 08 - Inductive Reasoning

• Lecture 09 - Deductive Reasoning

• Lecture 10 - Recreational Problem Solving 

CHAPTER IV  Data Management

Intended Learning Outcomes

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

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

• Advocate the use of statistical data in making important decisions

Lectures

• Lecture 11 - Basic Statistical Concepts

• Lecture 12 - Measures of Central Tendency

• Lecture 13 - Measures of Dispersion

• Lecture 14 - Measures of Relative Position

• Lecture 15 - Probability and the Normal Distribution

• Lecture 16 - Test of Significant Difference

• Lecture 16 - Test of Significant Correlation and Linear Regression

• Lecture 16 - Chi-square