An Example: Graph of a Function

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Related lectures (30)

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Graph Algorithms: Modeling and Traversal

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

Properties of X/G

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Derivative: Application Examples

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

Advanced Analysis II: Tangent Plan and Differentiability

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

Functions and Integers

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Level Curves and Graph Sketching

Explains level curves and graph sketching for functions of multiple variables.

Rolle's Theorem: Applications and Examples

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

Equation of Tangent Hyperplane

Explores finding the equation of a tangent hyperplane to a function and its implications.

Minimum Spanning Trees: Prim's Algorithm

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Convex Functions

Covers the properties and operations of convex functions.