Real Functions: Definitions and Examples

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Related lectures (26)

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Graph Sketching: Motion Analysis

Explores motion graph analysis, focusing on function study and derivative interpretation.

Real Functions: Definitions and Properties

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

Algebraic Identities and Trigonometry

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

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.

Real Functions of Two Real Variables

Explores real functions of two real variables, illustrating domains, images, and graphs.

Real Functions of Several Variables: Definitions and Examples

Covers definitions and examples of real functions of several real variables, including limits and visualization techniques.

Differential Calculation: Trigonometric Derivatives

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

Real Functions: Definitions and Graphs

Covers real functions, definitions, graphs, parity, periodicity, and boundedness.

Real Functions: Continuity and Limits

Explores continuity and limits of real functions, including examples and the concept of uniform continuity.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.