Real analysis Part 1
Basic Topology
Description
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!
What You Will Learn!
- Mathematics teachers/Instructors
- Bachelors/Master Students in Mathematics
Who Should Attend!
- Beginners in Mathematics
- Students of Bachelors/Master studies in Mathematics