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Created by Maneesh Motla
Hindi, English
Complete Course with 90 Days Course Validity
Description:
This Real Analysis Course Free covers sequences, series, Sequence of functions, series of Functions, continuity, differentiability, Power Series and Point Set topology. Through this course, you will delve deep into the fundamental concepts of real analysis and develop a strong foundation in mathematical analysis.
Key Highlights:
What you will learn:
Live learning-
Learn live with top educators, chat with teachers and other attendees, and get your doubts cleared.
Structured learning
Our curriculum is designed by experts to make sure you get the best learning experience.
Practice tests
With the quizzes and live tests practice what you learned, and track your class performance
Learn with the best
Stuck on something? Discuss it with your peers and the instructors in the inbuilt chat groups.
Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, uniform continuity, differentiability, mean value theorem. Sequences and series of functions, uniform convergence. Riemann sums and Riemann integral, Improper Integrals. Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral. Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems.
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