Lectures related to Rational Numbers: Amplification and Simplification

Covers the definition and properties of a field of fractions.

Explains decimal and periodic numbers, illustrating with examples and discussing rational numbers.

Covers a recap on mathematical notations and introduces rational numbers and basic algebraic operations.

Covers the properties and operations of complex numbers and their applications.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Covers the integration of rational functions, including the decomposition into partial fractions and the use of complex zeros.

Explores the concept of real numbers through decimal notation and fraction representation.

Delves into Piaget, Skinner, Vygotsky's theories, schemas, and 'productive failure'.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.