Lectures related to Completing the square

Covers the solutions to multiple-choice questions 1 to 3.

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Explores optimization problems in algebra and trinomial equations, focusing on maximizing area with fixed perimeters.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Covers the concept of singular values in linear algebra and their properties, including diagonalization and practical examples.

Covers the integration of simple elements using various techniques to solve integration problems.