Basic Calculus 1 and 2

By Prof. Parasar Mohanty | IIT Kanpur

Learners enrolled: 4068

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 Honours

PREREQUISITES : Grade XII

INDUSTRIES SUPPORT : None

Summary

Course Status :	Completed
Course Type :	Core
Duration :	8 weeks
Category :	Mathematics
Credit Points :	2
Level :	Undergraduate
Start Date :	18 Jan 2021
End Date :	12 Mar 2021
Enrollment Ends :	01 Feb 2021
Exam Date :	21 Mar 2021 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1:Algebra of Real Numbers, set of Axioms,Completeness,Density, decimal representation of real numbers

Week 2:Convergence of sequences, properties of limit, Sandwich Theorem, Monotonic sequences, Cantor's completeness Principle, Bolzano-Weierstrass Theorem, Cauchy's completeness

Week 3: Convergence of series, comparison test, Root test, Ratio test ,Power series, Leibniz's condition

Week 4:Continuity, Intermediate Value theorem, Properties of continuous functions

Week 5:Differentiation, Rolle's Theorem, Mean Value theoremHigher derivatives Taylor theorem

Week 6:Curve tracing, Applications of derivatives

Week 7: Integrations,

Week 8:Applications of Integration

Books and references

Thomas and Finney Calculus

T. Apostol Calculus I

Instructor bio

Prof. Parasar Mohanty

IIT Kanpur

Prof. Parasar Mohanty is an associate professor in Dept. of Mathematics and Statistics at IIT Kanpur. His area of Specialisation: Harmonic Analysis.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 21 March 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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