Video Lectures By Prof. S. Kumaresan
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36
Uniform Continuity Lecture 4
Extension
\to\R$. This introduces us to the strategy of proof of the main result. We then indicate a non-calculus proof for the fact that $x^n$ is not uniformly continuous for n greater than 1. We also show how the calculus proof leads to a proof of the fact that no polynomial function of degree greater than 1 is uniformly continuous on R. /sddefault.jpg)
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37
Differentiation on R: Lecture 1
Differentiatbility, Derivative
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38
Differentiation on R: Lecture 2
Algebra of Differentiable Functions
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39
Differentiation on R: Lecture 3
Rolle’s theorem, local maximum, local minimum, local extremum
 geometric, (ii) physical and (iii) approximation by a first degree polynomial. We then motivate, state and prove Rolle)
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40
Differentiation on R: Lecture 4
Mean Value Theorem
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