group theory For IIT JAM | CSIR NET & GATE MATHS | group theory notes and video lecture

25 argument principle| evaluate 1/2πi ∫f^' (z)/(f(z) dz where C is the circle |z|=π and f(z)=sinπz

24 argument Theorem | the value of the integral ∫|z|=3π)e^z/(e^z-1) dz

23 argument principle | let α,β,γ be the roots of f(z)=z^3-z-1, then ∫z^2 f^' (z)/(f(z) dz is

22 argument principle | let α,β,γ be the roots of f(z)=z^3-4z^2-z-1, then ∫z (f^' (z)/f(z) dz

21 argument Theorem | argument principle | find ∫f^' (z)/f(z)dz if f(z)=(z-1)^2/(z^3 (z-2)

20 short trick of singularity | singularity of function tanz at infinity

19 entire and zeros of function | let f(z) be an entire function such that lim |z|→∞ ⁡|f(z)|=∞

18 short trick of singularity | let f(z)=1/(e^z-1) for all z∈C such that then f(z) is | meromorphic

17 short trick of singularity | concept of singularity| at z=0 the function f(z)=(e^z+1)/(e^z-1) has

16 short trick of singularity | the function f(z)=(sin(πz/2) )/(sin πz) , then f has poles at

15 residue of function f(z)=1/z(z-1)^3 has pole of order p and residue r | residue of m order pole

14 residue of function f(z)=e^-e^1/z at z=0 | short trick of residue and singularity

13 residue of f(z)= sinz/z^4 at infinity | how to find residue at infinity

12 short tricks of residue | residue of function f(z)=z^3 cos (1/z) at ∞ | residue at infinity

11 short trick of residue at simple pole f(z)=g(z)/h(z) | residue of function f(z)=tanz at π/2 is

10 short trick of singularity | the singularity of f(z)=e^sinz at z=∞ | CSIR NET MATHS | GATE MATHS

9 for the function f(z)=e^(z^2/(1-cosz)) the point z=0 is | short trick of singularity

08 short tricks of singularity | for the function f(z)=sin (1/(cos (1/z) )) the point z=0 is

07 short tricks of singularity | if the function for z≠-i, f(z)=e^(1/(z+i))-1,then singularity is

06 short trick of singularity | if function f(z)=1/z sin 1/z and g(z)=sinz ∙f(z) then singularity

05 short of singularity | singularity of function f(z)=(z-2)/z^2 sin (1/(z-1) is | csir net | gate

04 short tricks of singularity | how to find order of pole f(z)=sinz/z^4 | CSIR NET | GATE MATHD

03 short tricks of singularity | singularity of function f(z)=(1-cosz)/z^2 |CSIR NET |GATE MATHS

02 short tricks of singularity | Singularity of function f(z)=tan(1/z) is | CSIR NET | GATE MATHS

01 complex analysis | short trick of singularity | Singularity of function f(z)=sin(1/z) is

39 short trick of real analysis | For n∈N , define xn & yn by xn=(-1)^n cos(1/n) & y(n )=∑1/(n+k)

38 real analysis short trick | the value of lim(n→∞)8n (e^(1/2n)-1) ( sin 1/2n+|cos 1/2n IIT JAM 25

37 short trick of real Analysis | IIT JAM 2025 ANALYSIS | xn+1=(1/2+(sin^2 n)/n) xn is convergent

gate 2025 pde solution | wave equation ∂^2 u/∂t^2 -9 (∂^2 u)/∂x^2 =0 | D'alembert solution pde

gate 2025 pde | solve 1D heat equation ∂u/∂t-(∂^2 u)/∂x^2 =0 ,u(0,t)=u(π,t)=0 ,u(x,0)=sin4x cos3x

36 real analysis | IIT JAM 2025 | the value of the infinite series ∑n (3/4)^2(n-1) is equal

35 real analysis | IIT JAM 2025 QP SOLUTION | ROC of the power series ∑(x+1/4)^n/(-2)^n n^2 )

71 GROUP THEORY | IIT JAM 2025 | how to find number of element of order n if group G is abelian

34 IIT JAM 2025 Q.4 |which of the following continuous |x|^1/8 |sin1/x| cosx & e^x cos1/x at x=0

crash course engineering mathematics GATE 2026 | GATE 2026 ENGG MATHS | GATE Maths ki taiyari kare

33 which of the differentiable function f(x)= x |x| sin (1/x) and g(x)= x^2 sin (1/x)+x cos(1/x)

32 IIT jam 2025 qp | sum of infinite series ∑(n=1 to ∞ (-1)^(n+1) (π)^(2n+1))/(2^(2n+1) (2n)!)

02 gate 2025 maths solution | classification of partial differential equation of second order

01 gate 2025 solution | wronskian and abel's formula for DE | solve de (1+x^2)y''-xy'+cos^2x y=0

31 real analysis | total number of relations from which are not function from A=(a,b,c)to B=(1,2)

29 how to check a given function is one one| which of the folloing one one |x-1|,|sinx| sinx & x^2

30 number of real solution of cosx-|x|=0 is | tgt pgt maths | csir net | gate | iit jam maths

27 real analysis | number of real solutions of the equation e^x=x and e^x+x=0

26 short trick of uniform Continuity | how to check f(x)=1/√x is uniform continuous in interval

25 short tricks of uniform continuity | check function f(x) =1/√x for interval is/are UC

24 short trick of uniform Continuity | check uniform continuity of function 1/x, sinx/x ,xsin(1/x)

23 short trick of uniform continuity | uniform continuous of 1/x, sinx/x, sin(1/x) , cosx/x in (0,1)