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- MTH424: Convex Analysis (Spring 2024)
- ets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite... ces ===== * http://en.wikipedia.org/wiki/Convex_function * http://mathworld.wolfram.com/ConvexFunction.h
- MTH480: Introductory Quantum Mechanics
- $x(t)={{t}^{3}}+2\sin t$ represents some distance function at point t. - Find the velocity and accelera... train start its journey from zero to the velocity function $v(t)={{t}^{2}}+t{{e}^{t}}$. - Find the dist
- MTH103: Exploring Quantitative Skills
- ions, transformation of functions, absolute value function, inverse function, linear functions, polynomial functions, rational functions and applications related to f
- MTH322: Real Analysis II (Spring 2023)
- differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functi... b]$. If $f_n \to f$ uniformly on $[a,b]$ and each function $f_n$ is continuous on $[a,b]$, then \begin{equat... ll } x\in\mathbb{R}.$$ - Consider a sequence of function $\{E_n(x)\}$ define by $$E_n(x)=1+\frac{x}{1!}+\f... he interval $[-A,A]$, where $A>0$. - Consider a function $E:\mathbb{R} \to \mathbb{R}$ defined by $E'(x)=E
- MTH321: Real Analysis I (Spring 2023)
- s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... e the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the proofs’ development. Define the derivative of a function, prove various theorems about the derivatives of
- MATH-300: Basic Mathematics for Chemist
- 5 \times 4 ... * [[http://en.wikipedia.org/wiki/Function_(mathematics)]] * In mathematics, a function is a relation between a set of inputs and a set of permiss... ]]** * http://en.wikipedia.org/wiki/Exponential_function * http://en.wikipedia.org/wiki/Logarithm * [[
- MTH321: Real Analysis I (Fall 2022)
- s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... e the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the proofs’ development. Define the derivative of a function, prove various theorems about the derivatives of
- MTH604: Fixed Point Theory and Applications (Fall 2022)
- epelling and neutral fixed points. - Consider a function $f(x)=x^2-1$. Find its fixed points and also find... point. - Define orbit of the point $x_0$ under function $f$. - Consider $C(x)=\cos (x)$. Draw the cobwe... n of the orbit of $0.1$ under $L$. - Consider a function $L(x)=mx$, where $m\in \mathbb{R}$. Find the valu
- MTH321: Real Analysis I (Fall 2021)
- s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... e the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the proofs’ development. Define the derivative of a function, prove various theorems about the derivatives of
- MTH211: Discrete Mathematics (Spring 2022)
- test path problem. revisiting the graphs of power function, floor function, increasing and decreasing functions, big 0, little 0 and w notations, orders of polynomial
- MTH322: Real Analysis II (Spring 2022)
- differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functi... between-continuous-and-uniformly-continuous-for-a-function * http://www.personal.psu.edu/auw4/M401-lecture
- MTH322: Real Analysis II (Fall 2021)
- differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functi... - Define pointwise convergence of sequence of function. - Define uniform convergence of sequence of function. - Define pointwise convergence of series of function. - Define uniform convergence of series of functi
- MTH211: Discrete Mathematics (Fall 2020)
- test path problem. revisiting the graphs of power function, floor function, increasing and decreasing functions, big 0, little 0 and w notations, orders of polynomial
- MTH604: Fixed Point Theory and Applications (Spring 2021)
- of $x_0$ under $F$, where $F$ is some real valued function. - Draw the orbit of $2$ under $\exp(x)$, $x\in \mathbb{R}$. - Let $F:E\to \mathbb{R}$ be a function. Then prove that $p$ is fixed point of $F$ iff $p... g and neutral fixed point theorem. - Consider a function $f(x)=x^2-1$. Find its fixed points and also find... point. - Define orbit of the point $x_0$ under function $f$. - Consider $C(x)=\cos (x)$. Draw the cobwe
- MCQs or Short Questions @atiq:sp15-mth321
- set $A$ is said to be countable if there exists a function $f:A\to \mathbb{N}$ such that * (A) $f$ is bi