Mathematics in the Modern World

Course Description

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

Course Content

CHAPTER 1: Mathematics in the World

Learning Outcome

Identify patterns in nature and regularities in the world.
Articulate the importance of mathematics in one's life.
Argue about the nature of mathematics, including how it is expressed, represented, and used.

Lectures

Lecture 01 - Patterns and Numbers in Natures
Lecture 02 - The Fibonacci Sequence and Golden Ratio
Lecture 03 - Mathematics for our World

Quizzes:

Quiz No. 01 - Take the Quiz!
Quiz No. 02 - Take the Quiz!

Activities:

Activity No. 01:
Activity No. 02:

CHAPTER 2: Mathematical Language and Symbol

Learning Outcome

Discuss the language, symbols, and conventions of mathematics.
Explain the nature of mathematics as a language.
Perform operations on mathematical expressions correctly.

Lectures

Lecture 04 - The Language of Mathematics
Lecture 04 - The Language of Sets
Lecture 06 - The Language of Logic

Quizzes:

Quiz No. 03 - Take the Quiz!
Quiz No. 04 - Take the Quiz!

Activities:

Activity No. 03:
Activity No. 04:

Chapter 3: Problem Solving and Reasoning

Learning Outcome

Apply inductive and deductive reasoning to solve mathematical problems and make generalizations.
Utilize Polya’s problem-solving strategy to approach and solve complex problems systematically.
Engage in recreational problem-solving activities to develop creative thinking and logical reasoning skills.

Lectures

Lecture 07 - Inductive Reasoning
Lecture 08 - Deductive Reasoning
Lecture 09 - Polya's Problem Solving Strategy

Quizzes:

Quiz No. 05
Quiz No. 06

Activities:

Activity No. 05
Activity No. 06

Chapter 4: Data Management

Learning Outcome

Compute and interpret measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation).
Analyze data sets using concepts of the normal distribution to understand their spread and behavior.
Apply correlation and regression analysis to determine relationships between variables and make predictions.

Lectures

Lecture 10 - Introduction to Data Management
Lecture 11 - Correlation and Regression Analysis
Lecture 12 - Other Test-Statistics

Quizzes:

Quiz No. 07 - Take the Quiz!
Quiz No. 08 - Take the Quiz!

Activities:

Activity No. 07
Activity No. 08

Chapter 5: Mathematics of Finance

Learning Outcome

Identify the fundamental principles of mathematical codes, including error detection and correction techniques.
Differentiate between various types of mathematical codes such as binary, Huffman, and linear codes.
Apply coding methods to solve real-world problems involving data transmission and encryption.

Lectures

Lecture 13 - Simple Interest
Lecture 14 - Compound Interest
Lecture 15 - Other Mathematics of Finance

Quizzes:

Quiz No. 09
Quiz No. 010

Activities:

Activity No. 09
Activity No. 10

Chapter 6: Mathematical Codes

Learning Outcome

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 16
Lecture 17
Lecture 18

Quizzes:

Quiz No. 11
Quiz No. 12

Activities:

Activity No. 11
Activity No. 12

References:

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