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Calculus of One Real Variable (Video)
broucher Course Brochure
Calculus of One Real Variable (Video)
by Dr Joydeep Dutta

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....

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level English
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Program Fee
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....


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Course Curriculum
8 Sections | 39 Lecture | 23h 47min total length
Expand all sections
Calculus of One Real Variable (Video)

Week-1

| 03h 11min total length
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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; ?>
Calculus of One Real Variable (Video)

Week-2

| 03h 16min total length
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    Limit of Functions- II

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

    41m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    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; ?>
Calculus of One Real Variable (Video)

Week-3

| 02h 54min total length
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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; ?>
  • <?php echo $alt; ?>

    Monotonic Functions and Inverse Functions

    35m <?php echo $alt; ?>
Calculus of One Real Variable (Video)

Week-4

| 02h 31min total length
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    Optimization Problems

    31m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    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; ?>
  • <?php echo $alt; ?>

    Integration-III : Newton and Leibnitz Style

    37m <?php echo $alt; ?>
Calculus of One Real Variable (Video)

Week-5

| 03h 05min total length
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    Integration theory of Riemann-I

    42m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Integration theory of Riemann-II?

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

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

    Fundamental Theorem of Calculus (in Riemann style)

    25m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    The Kurzweil-Henstock Integral (K-H Integral)?

    53m <?php echo $alt; ?>
Calculus of One Real Variable (Video)

Week-6

| 03h 04min total length
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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; ?>
Calculus of One Real Variable (Video)

Week-7

| 02h 41min total length
  • <?php echo $alt; ?>

    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; ?>
Calculus of One Real Variable (Video)

Week-8

| 03h 02min total length
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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)

    31m <?php echo $alt; ?>
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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; ?>
show 5 more sections
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