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Lecture 01
Definite Integral Definition & their Properties, Improper Integral definition & their types. Varoius examples.
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01:16:27min
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Lecture 02
Some more properties of Definite Integrals with examples. Test of Improper Integral of 1st Type.
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01:41:47min
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Lecture 03
Definition of Beta Function & their Properties. Definition of Gamma Function & their Properties. Relation between Beta & Gamma Function
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01:34:23min
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Lecture 04
Duplication Formula, Application of Beta & Gamma Function, Some Important Questions
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01:57:14min
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Lecture 05
Finding Surface Area of Solid for Standard Curves like Parabola , Ellipse
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00:44:53min
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Lecture 06
Finding Volume of Solid generated by Revolution Plane Area after revolution about axix for diffrent Curves
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01:16:00min
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Lecture 07
Definition & Diagram, Involute steps to find Evolute and Involute for any Curve
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01:14:56min
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Lecture 08
Rolle's theorem & Langrange's Mean Value theorem
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02:11:22min
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Lecture 09
Taylor's & Maclaurine Series
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01:33:28min
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Lecture 10
Taylor's Theorem with Remainder
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00:49:45min
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Lecture 11
Intermediate Form & L'Hospital Rule
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00:37:07min
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01:26:28min
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Lecture 13
Sequence & Series
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01:07:07min
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Lecture 14
Basic Concept of Fourier Series, Fourier Series for Continuous Function
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01:17:52min
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Lecture 15
Fourier Series for Discontinuous Function, Half Range Cosine & Sine Series
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00:43:05min
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Lecture 16
Fourier Series for Even & Odd Function, Parseval's theorem with examples
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01:08:19min
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Lecture 17
Partial Defferentiation
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01:22:33min
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Lecture 18
Langrange's Method of Undetermined Multiplier
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01:00:18min
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Lecture 19
Successive Differentiation
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01:29:41min
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Lecture 20
Radius of Convergence, Ratio Test, Cauchy Root Test with Examples
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00:59:24min
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Lecture 21
Convergence of Logrithmic Series, Convergence of Exponential Series, Convergence of Trigonometric Series
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00:26:23min
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Lecture 22
Find the Continuity of any Function, Rules to Find Derivatives
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00:40:54min
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Lecture 23
D.E. of First Order & First Degree, Exact D.E., Linear D.E., Bernoulli's D.E., Euler's Rule to find G.S. & D.E.
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01:54:28min
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Lecture 24
First Order & Higher Degree, Solvable for p, y & x, Clairuat's Equation
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00:49:40min
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Lecture 25
Second Order D.E. with Constant Co-efficient
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00:47:01min
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Lecture 26
Second Order D.E. with Variable Co-efficient
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01:35:07min
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Lecture 27
Differential Equation of order n
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01:12:01min
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Lecture 28
Definition & Types of Matrices, Addition, Subtraction & Multiplication of Matrices
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00:52:49min
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Lecture 29
Adjoint of a Square Matrix, Rank of a Matrix, Normal Form, Linear System of Equations
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00:58:22min
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Lecture 30
Eigen Value & Eogen Vector of a Matrix, Properties of Eogen Values
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01:05:17min
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Lecture 31
Caley-Hamilton Theorem, Diagonal Form of a Matrix, Modal Matrix, Use of Scientific Calculator
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01:38:06min
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Lecture 32
Gauss Elimination Method, Gauss Jordan Elimination Method
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00:30:02min
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Lecture 33
Formation of PDE, First Order PDE, (Linear & Non-Linear)
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00:48:25min
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