Real analysis Part 1

Basic Topology

What you'll learn
Mathematics teachers/Instructors
Bachelors/Master Students in Mathematics
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!

Who this course is for
Beginners in Mathematics
Students of Bachelors/Master studies in Mathematics