Lectures related to Symmetry in Functions: Definitions and Examples

Partial Derivatives: Definitions and Examples

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Differentiating under the integral sign

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Entropy and the Second Law of Thermodynamics

Covers entropy, its definition, and its implications in thermodynamics.

Definitions and Notations

Covers the definitions and notations related to functions.

Convexity Criteria

Covers the study of functions, focusing on convexity criteria within closed subintervals.