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Calculus of One Real Variable (Video)

Dr Joydeep Dutta

4 followers

Calculus of One Real Variable (Video)

2 Learners

Calculus of One Real Variable (Video)

Validity Unlimited Calculus of One Real Variable (Video) All Level Calculus of One Real Variable (Video) English

0.0 (0)
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.

  • Calculus of One Real Variable (Video) Total 8 Modules
  • Calculus of One Real Variable (Video) 39 Videos
  • Calculus of One Real Variable (Video) Downloadable on mobile
  • Calculus of One Real Variable (Video) Published on 26 June, 2019

Course Curriculum

Week-1

Calculus of One Real Variable (Video)
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    Introduction to Numbers

    46m <?php echo  $alt; ?>
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    Countability and Uncountability

    33m <?php echo  $alt; ?>
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    Examples of Irrational numbers

    33m <?php echo  $alt; ?>
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    Functions

    34m <?php echo  $alt; ?>
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    Limits of Functions-I

    44m <?php echo  $alt; ?>

Week-2

Calculus of One Real Variable (Video)
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    Limit of Functions- II

    41m <?php echo  $alt; ?>
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    Continuous Functions

    41m <?php echo  $alt; ?>
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    Intermediate Value Theorem

    42m <?php echo  $alt; ?>
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    Maximum Value Theorem

    31m <?php echo  $alt; ?>
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    Supremum and Infimum

    40m <?php echo  $alt; ?>

Week-3

Calculus of One Real Variable (Video)
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    Derivative of a Function

    31m <?php echo  $alt; ?>
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    Rules of Differentiation?

    37m <?php echo  $alt; ?>
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    Maxima and Minima

    34m <?php echo  $alt; ?>
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    Rolles Theorem and Lagrange Mean Value Theorem (MVT)?

    34m <?php echo  $alt; ?>
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    Monotonic Functions and Inverse Functions

    35m <?php echo  $alt; ?>

Week-4

Calculus of One Real Variable (Video)
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    Optimization Problems

    31m <?php echo  $alt; ?>
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    Integration-I : In the style of Newton and Leibnitz

    44m <?php echo  $alt; ?>
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    Integration-II : In the spirit of Newton and Leibnitz

    37m <?php echo  $alt; ?>
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    Integration-III : Newton and Leibnitz Style

    37m <?php echo  $alt; ?>

Week-5

Calculus of One Real Variable (Video)
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    Integration theory of Riemann-I

    42m <?php echo  $alt; ?>
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    Integration theory of Riemann-II?

    30m <?php echo  $alt; ?>
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    Integration Rule

    33m <?php echo  $alt; ?>
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    Fundamental Theorem of Calculus (in Riemann style)

    25m <?php echo  $alt; ?>
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    The Kurzweil-Henstock Integral (K-H Integral)?

    53m <?php echo  $alt; ?>

Week-6

Calculus of One Real Variable (Video)
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    Calculating Indefinite Integrals

    53m <?php echo  $alt; ?>
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    Improper Integral-I

    31m <?php echo  $alt; ?>
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    Improper Integral-II

    32m <?php echo  $alt; ?>
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    Application of Definite Integral-I

    32m <?php echo  $alt; ?>
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    Application of Definite Integral-II

    35m <?php echo  $alt; ?>

Week-7

Calculus of One Real Variable (Video)
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    Application of definite Integral-III

    29m <?php echo  $alt; ?>
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    Application of definite Integral-III (Contd.)

    37m <?php echo  $alt; ?>
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    Numerical Integration-I

    32m <?php echo  $alt; ?>
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    Numerical Integration-II

    26m <?php echo  $alt; ?>
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    Sequences

    34m <?php echo  $alt; ?>

Week-8

Calculus of One Real Variable (Video)
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    Sequence (continued)

    43m <?php echo  $alt; ?>
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    Infinite Series

    29m <?php echo  $alt; ?>
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    infinite series (continued)

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

    38m <?php echo  $alt; ?>
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    Taylors Theorem, other issues and end of the course-II

    39m <?php echo  $alt; ?>

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