Lectures related to General Mathematics I: Derivatives and Tangents

Explores finding the equation of the tangent line to a function's graph at a point.

Explores partial derivatives and their role in determining tangents to graphs.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Covers the properties and operations of convex functions.

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Covers level curves and graphs of functions in two and three dimensions.

Explores the role of graphs in deep learning, focusing on their structure, applications, and techniques for processing graph data.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Covers the analysis of functions, composition, and mathematical induction.

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.

Explores examples of using derivatives to find tangent lines and points on graphs.

Covers graph properties, representations, and traversal algorithms using BFS and DFS.

Covers derivatives, tangents, secants, and rules for deriving elementary functions.

Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.

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

Covers functions of real numbers, graphing, and affine functions.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

Covers the concept and calculation of directional derivatives in multivariable calculus.