Lectures related to Derivatives and Differential Equations

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Explores vector geometry basics, historical perspectives, and practical applications.

Covers the properties of vectors, including commutativity, distributivity, and linearity.