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MTH604: Fixed Point Theory and Applications (Fall 2022)
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xed points. - Consider a function $f(x)=x^2-1$. Find its fixed points and also find the nature of fixed point. - Define orbit of the point $x_0$ under fun... er a function $L(x)=mx$, where $m\in \mathbb{R}$. Find the value of $m$ for which $x=0$ is attracting fixed point. - Let $F(x)=2(\sin x)^2$. Find the interval in which $F$ has attracting fixed po
MTH604: Fixed Point Theory and Applications (Spring 2020)
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nt theorem. - Consider a function $f(x)=x^2-1$. Find its fixed points and also find the nature of fixed point. - Define orbit of the point $x_0$ under fun... er a function $L(x)=mx$, where $m\in \mathbb{R}$. Find the value of $m$ for which $x=0$ is attracting fixed point. - Let $F(x)=2(\sin x)^2$. Find the interval in which $F$ has attracting fixed po
MTH480: Introductory Quantum Mechanics
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resents some distance function at point t. - Find the velocity and acceleration at time t. - Find the velocity at time 5sec. - Find acceleration at $t=\dfrac{\pi }{6}$ sec. - What is the kineti... city function $v(t)={{t}^{2}}+t{{e}^{t}}$. - Find the distance traveled by the train in KM after 5m
MTH604: Fixed Point Theory and Applications (Spring 2021)
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Sample questions===== - Define fixed point. - Find the fixed point of $f(x)=x^2-4x+6$, where $x\in (... nt theorem. - Consider a function $f(x)=x^2-1$. Find its fixed points and also find the nature of fixed point. - Define orbit of the point $x_0$ under fun... er a function $L(x)=mx$, where $m\in \mathbb{R}$. Find the value of $m$ for which $x=0$ is attracting fi
MTH321: Real Analysis I (Fall 2021)
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2.27- Let $\{t_n\}$ be a positive term sequence. Find the limit of the sequence if $4t_{n+1}=\frac{2}{5... 2.28- Let $\{u_n\}$ be a positive term sequence. Find the limit of the sequence if $u_{n+1}=\frac{1}{u_... eq 3$, $F_n$ is defined by $F_n=F_{n-1}+F_{n-2}$. Find the $\lim\limits_{n\to\infty}\frac{F_n}{F_{n-1}}$... al.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx (find limit of functions by definition) * Seidel, Pau
MTH251: Set Topology
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or define limit-point. * Define derive set. * Find the derive set of $A=\{1,2,3,...,20\}$ under the ... A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$. Find the derive set of $A$ under usual topology. * D... nt. * Under the usual topology on $\mathbb{R}$, find interior and closure of the following sets: *... $ and $\tau=\{\varphi, X, \{a\}, \{a,c\}\}$. Then find the relative topology of $A=\{c,d\}$. * Let $A$
MTH604: Fixed Point Theory and Applications
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* Let $d$ be usual metric on $\mathbb{R}$. Then find open ball, closed ball and sphere with radius $\f... ter $1$. * Define fixed point with example. * Find fixed point of the function $f(x)=x^2-3x+4$. * ... ttracting, repelling and neutral fixed point. * Find the nature of the fixed point of the function $F(... =\cos x$ in the interval $[0,\frac{\pi}{2}]$. * Find fixed point of the function $F(x)=x-x^2$ and dete
MTH321: Real Analysis I (Spring 2020)
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2.27- Let $\{t_n\}$ be a positive term sequence. Find the limit of the sequence if $4t_{n+1}=\frac{2}{5... 2.28- Let $\{u_n\}$ be a positive term sequence. Find the limit of the sequence if $u_{n+1}=\frac{1}{u_... eq 3$, $F_n$ is defined by $F_n=F_{n-1}+F_{n-2}$. Find the $\lim\limits_{n\to\infty}\frac{F_n}{F_{n-1}}$... al.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx (find limit of functions by definition) * Seidel, Pau
MTH424: Convex Analysis (Fall 2020)
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of support for $f$ at each $x_0\in (a, b)$. * Find the line of support for $\exp (x)$ at $x=1$. ===Lecture 08=== * Find the line of supports for the function defined bel... ad x\geq 1; \\ x, \quad x<1. \end{cases} $$ * Find the line of support for $f(x)=x^2$ at $x=2$.
MTH231: Linear Algebra
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dwritten notes]] <WRAP center round tip 80%> * Find determinant on wolframe alpha:\\ Use the followin... {{4,2,5,10},{1,1,6,3},{7,3,0,5},{0,2,5,8}})]] * Find value of //x// on wolframe alpha:\\ Use the follo
What is Mathematics? @atiq:math-608
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.” Charles Darwin said “Mathematics is a study of finding a black cat in a dark room which is not there.... * said “Go down enough into anything and you will find mathematics.” G.K Chesterton said “The different
MTH321: Real Analysis I (Fall 2015)
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al.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx (find limit of functions by definition) * Seidel, Pau
MTH321: Real Analysis I (Fall 2018)
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al.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx (find limit of functions by definition) * Seidel, Pau
MTH321: Real Analysis I (Fall 2019)
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al.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx (find limit of functions by definition) * Seidel, Pau
MTH321: Real Analysis I (Fall 2022)
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al.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx (find limit of functions by definition) * Seidel, Pau
MATH-608: Research Methodology
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MTH321: Real Analysis I (Spring 2023)
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MTH322: Real Analysis II (Spring 2023)
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MCQs or Short Questions @atiq:sp15-mth321
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