Lectures related to Equations: Degree and Solutions

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers the theory of polynomials, including definitions, properties, and applications.

Covers operations on real-valued functions, defining the sum, product, and quotient of functions.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Explores gradient generalizations and applications in advanced analysis.

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.