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- 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
- MTH424: Convex Analysis (Fall 2020)
- ets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite... ==Lecture 01=== * Definitions: Interval, convex function, strictly convex function, concave function, strictly concave function * Example of convex & concave functions * By definition, p
- 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
- MTH321: Real Analysis 1
- 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
- MTH321: Real Analysis I (Fall 2015)
- 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
- MTH321: Real Analysis I (Fall 2018)
- 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
- MTH321: Real Analysis I (Fall 2019)
- 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
- 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
- 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
- MTH321: Real Analysis 1
- 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
- MTH321: Real Analysis 1 (Spring 2015)
- 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
- MTH321: Real Analysis I (Spring 2020)
- 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 (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
- MTH104: Calculus & Analytical Geometry
- functions, their types, limit and continuity of a function, derivatives, rate of change, chain rule, the con... hniques of integration, maxima and minima for the function of one variable, power series sequence and series... equalities, functions, shifting graphs, limits of function, continuity, derivative of a function, application of derivatives, integration, indefinite integrals, defin