1. To comprehend algebraic structures based on the foundation in Abstract Mathematics I course. 2. To teach the construction of well-known number sets and their basic properties. 3. To comprehend algebraic structure transitions between number sets. 4. To help students develop their ability to solve problems and interpret the solutions obtained. 5. To enable students to perceive abstract and difficult to understand concepts.

Construction of the set of natural numbers, Principle of induction, Construction of integers and binary operations in the set of integers, Construction of rational numbers and properties of binary operations, Introduction to real numbers, Addition and multiplication in Cauchy sequences, Algebraic properties of real numbers, Complex numbers.