Calculus of One Real Variable (Video) - Study24x7

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# Calculus of One Real Variable (Video)

Validity Unlimited All Level English

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Free

## About This Course

This course intend to develop a thorough understanding of the fundamental aspects of calculus of single variable which is fundamental tool in Sciences, Engineering and Economics.

• Total 8 Modules
• 39 Videos
• Downloadable on mobile
• Published on 26 June, 2019

## Week-1

• Introduction to Numbers

46m
• Countability and Uncountability

33m
• Examples of Irrational numbers

33m
• Functions

34m
• Limits of Functions-I

44m

## Week-2

• Limit of Functions- II

41m
• Continuous Functions

41m
• Intermediate Value Theorem

42m
• Maximum Value Theorem

31m
• Supremum and Infimum

40m

## Week-3

• Derivative of a Function

31m
• Rules of Differentiation?

37m
• Maxima and Minima

34m
• Rolles Theorem and Lagrange Mean Value Theorem (MVT)?

34m
• Monotonic Functions and Inverse Functions

35m

## Week-4

• Optimization Problems

31m
• Integration-I : In the style of Newton and Leibnitz

44m
• Integration-II : In the spirit of Newton and Leibnitz

37m
• Integration-III : Newton and Leibnitz Style

37m

## Week-5

• Integration theory of Riemann-I

42m
• Integration theory of Riemann-II?

30m
• Integration Rule

33m
• Fundamental Theorem of Calculus (in Riemann style)

25m
• The Kurzweil-Henstock Integral (K-H Integral)?

53m

## Week-6

• Calculating Indefinite Integrals

53m
• Improper Integral-I

31m
• Improper Integral-II

32m
• Application of Definite Integral-I

32m
• Application of Definite Integral-II

35m

## Week-7

• Application of definite Integral-III

29m
• Application of definite Integral-III (Contd.)

37m
• Numerical Integration-I

32m
• Numerical Integration-II

26m
• Sequences

34m

## Week-8

• Sequence (continued)

43m
• Infinite Series

29m
• infinite series (continued)

31m
• Taylors Theorem, other issues and end of the course-I

38m
• Taylors Theorem, other issues and end of the course-II

39m

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