Course Introduction:

In the mathematics world, Real analysis is the branch of mathematics analysis that studies the behavior of real numbers, sequences and series of real number and real-valued function. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiation, and integrability.

Key content of the course:

• Construction of real numbers

• Order properties of real numbers

• Topological properties of real numbers

• Sequences, limits, and convergence

• Uniform convergence

• Continuity, Uniform continuity, absolute continuity

• Series

• Riemann integration

• Lebesgue integration and measure

• Compactness

• Bolzano Weierstrass theorem

• Heine Borel theorems

So enroll the course and explore the content. See you on the course!