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Lecture
Real Functions: Graphs and Properties
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Related lectures (30)
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Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.
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.
Linear Transformations: Matrices and Kernels
Covers linear transformations, matrices, kernels, and properties of invertible matrices.
Derivatives of Trigonometric Functions
Explores the derivatives of trigonometric functions and their reciprocals.
Transformations Affines
Covers the concept of affine transformations in functions, including shifting and compressing functions.
Graphs: Properties and Representations
Covers graph properties, representations, and traversal algorithms using BFS and DFS.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Partial Derivatives: Understanding Tangents
Explores partial derivatives and their role in determining tangents to graphs.
Functions: Inverse, Composition, and Graphs
Covers inverse functions, function composition, partial functions, and graphs of functions.