Real Functions: Definitions and Properties

Related lectures (25)

Page 2 of 3

Covers functions of real numbers, graphing, and affine functions.

Explains injective, surjective, and bijective functions using examples and graphs.

Covers level curves and graphs of functions in two and three dimensions.

Explains injectivity and surjectivity criteria in functions using graphical representations.

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

Covers the definition of sine and cosine functions, their graphs, and notable points.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Covers the terminology and conventions of real functions of a real variable.

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

Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.