Lectures related to Intersection Numbers: Algebraic Counting Solutions

Covers regular curves and constant speed, with examples of circles and helices.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores testing invariance in polynomial equations, emphasizing solution identification and variable changes.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Covers the definitions and properties of projective algebraic sets and their applications in algebraic geometry.

Explores algebraic functions, limits, and behavior as x approaches infinity.

Explores the Isoclines Method and solutions of differential equations with tangents.

Explores geometric surfaces, rules between shapes, and architectural applications.