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Lecture
Terminologie: Functions Graph Discussion
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Related lectures (30)
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Convex Functions
Covers the properties and operations of convex functions.
Mathematical Analysis: Functions and Composition
Covers the analysis of functions, composition, and mathematical induction.
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.
Graphical Definition: Level Sets and Domains
Covers the graphical definition of functions, focusing on level sets and domains.
Functions and Integers
Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Transformations Affines
Covers the concept of affine transformations in functions, including shifting and compressing functions.
Real Functions: Definitions and Properties
Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.