Basic Calculus 1 and 2

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Free Online Course: Basic Calculus 1 and 2 provided by Swayam is a comprehensive online course, which lasts for 8 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Basic Calculus 1 and 2 is taught by Prof. Parasar Mohanty.

IIT Kanpur NPTEL via Swayam

8 weeks long

Finished

Topics of continuity, differentablity, integrability of a real valued function will be discussed with their applications. Also series representations of some functions will be discussed.
INTENDED AUDIENCE :1st year B.Tech, Mathematics HonoursPREREQUISITES : Grade XIIINDUSTRIES SUPPORT :None

Syllabus

COURSE LAYOUT
Week 1:Algebra of Real Numbers, set of Axioms,Completeness,Density, decimal representation of real numbersWeek 2:Convergence of sequences, properties of limit, Sandwich Theorem, Monotonic sequences, Cantor's completeness Principle, Bolzano-Weierstrass Theorem, Cauchy's completenessWeek 3:Convergence of series, comparison test, Root test, Ratio test ,Power series, Leibniz's conditionWeek 4:Continuity, Intermediate Value theorem, Properties of continuous functions
Week 5:Differentiation, Rolle's Theorem, Mean Value theoremHigher derivatives Taylor theoremWeek 6:Curve tracing, Applications of derivativesWeek 7:Integrations, Week 8:Applications of Integratio

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Language

English
Certificate
Paid Certificate Available
Finished
18th January, 2021
Price
Free Online Course
Provider
Swayam
Taught By

Prof. Parasar Mohanty
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Basic Calculus 1 and 2

COURSE LAYOUT

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