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[Sarita Math]

Students,

            

There are some points which I want to tell you before exam. In end-sem there will be no partial-marking. So, please, check your calculations properly. Many of you have made some silly mistakes in your class test copies also, mostly in plus-minus signs, then after removing log function, denominator-numerator changed etc. If you really want to score good marks, first of all, check your calculations as many times as you can and pay attention on the following points:

1. Whenever you are differentiating something, write "differentiating with respect to x" or "differentiating partially with respect to x".

2. Whenever you are applying some theorems, write "Applying Rolle's theorem in the interval [-1,1], we get" or "Since z is a point inside the region, so by Cauchy-integral theorem, we get"

3. When you are given to find asymptotes: First write "eguating the coefficients of x to 0, we get the horizontal asymptote which is" or simply, "The horizontal asymptotes are" and then "simillarly the vertical asymptotes are", then "for oblique asymptote, let us take y = mx +c be an oblique asymptote. Then m=..., c=..."

4. Whenever you are integrating somewhere, write "integrating, we get". After introducing the constant of integration, specify it by "where c is the integration constant" (applicable mainly for ODE)

5. For complex numbers and several variables, when you want to prove that limit exists, use  approach. To disprove it, just choose a path.

6. For complex variables, in series expansion, always mention whether the final series is Taylor or Laurent series and always mention the range or the interval where it is valid.

7. For concavity- convexity, mention the signs, to show point of inflexion, show the sign-change near the point.

8. In case of differential equations, 

   i) If it is linear, specify it, "Given ODE is linear in x" 

   ii) C.F - P.I problems, to find C.F, write "Complementary function of the associated homogeneous equation of the given ODE is"  and, "Particular integral of the given ODE is".