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35. Lagrange's Theorem and its Proof in Group Theory

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34. Collection of Left or right Cosets of H defines a partition of G (proof)

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33. Cosets and Partition of a set concept

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32. Prove that Every Cyclic group is abelian

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31. Find all subgroups of cyclic group of order 12

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30. Theorem: For each positive divisor 'd' of 'n', there is a unique subgroup of G of order d(proof)

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29.Every subgroup of a cyclic group is cyclic

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28.Cyclic groups explanation with examples

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Cramer's Rule for 3x3 system of linear equations-(Two examples)

0:20:21

Derivative of Integral

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26. Find the points where tangent is Parallel to x-axis and Parallel to y-axis

0:30:52

25.FInd the equations of tangents and normals to each of following curves

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7. Find arc length of astroid x^2/3+y^2/3=a^2/3

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6.Find the arc length of cycloid x=a(t+sint),y=a(1-cost)

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5. Find the arc length of the parametric curves

0:10:44

4.Arc length of parametric curve

0:19:23

3. Find the arc length of the loop of the curve 3ay^2=x(a-x)^2

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2.find the arc length of the parabola y^2=4ax cut off by line 3y=8x

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1.Arc length of a curve (easy derivation)

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27.Union of two subgroups is also a subgroup iff one is contained in the other

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26. If H is a subgroup of G then aHa^-1 (Conjugate of Subgroup) is also a subgroup

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25.Intersection of subgroups of a Group G is again a Subgroup of G

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24. Subgroup Test Example Solved

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23.Subgroup Test Theorem fully explained and Proved