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MTH322: Real Analysis II (Spring 2023)
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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 $E'(x)=E
MTH321: Real Analysis I (Spring 2023)
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s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... e the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the proofs’ development. Define the derivative of a function, prove various theorems about the derivatives of
MATH-300: Basic Mathematics for Chemist
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5 \times 4 ... * [[http://en.wikipedia.org/wiki/Function_(mathematics)]] * In mathematics, a function is a relation between a set of inputs and a set of permiss... ]]** * http://en.wikipedia.org/wiki/Exponential_function * http://en.wikipedia.org/wiki/Logarithm * [[
MTH103: Exploring Quantitative Skills
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ions, transformation of functions, absolute value function, inverse function, linear functions, polynomial functions, rational functions and applications related to f
MTH480: Introductory Quantum Mechanics
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$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
MTH424: Convex Analysis (Spring 2024)
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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