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Related lectures (30)
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Graphical Definition: Level Sets and Domains
Covers the graphical definition of functions, focusing on level sets and domains.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Level Curves and Graph Sketching
Explains level curves and graph sketching for functions of multiple variables.
Excel Exercise: Trends
Explores trend analysis in Excel using rent data from 1995 to 2023.
Model Extension and Composition of Functions
Explores model extension, function composition, graph uniqueness, and mathematical induction principles.
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.
Networks: Structure and Properties
Explores the structure and properties of networks, including dating and protein networks, small-world effect, hubs, and scale-free property.
Functions and Integers
Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Graph Theory Fundamentals
Explores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.
Statistical Analysis of Network Data: Structures and Models
Explores statistical analysis of network data, covering graph structures, models, statistics, and sampling methods.