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- MTH424: Convex Analysis (Spring 2024)
- e concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and th... ir properties, Best approximation theorem. Convex functions, Basic definitions, properties, various generalizations, Differentiable convex functions, Hermite and Hadamard inequalities, Subgradient,
- 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
- linear models, including rectangular coordinates, functions, empowering them to analyze real-world problems ... ng Strategy and Problem solving using sets. === Functions: === Introduction to functions, rates of change, composition of functions, transformation of functions, absolute value function, inverse
- MTH322: Real Analysis II (Spring 2023)
- ]]. ===== Course Contents: ===== **Sequences of functions:** Convergence, uniform convergence, uniform con... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test,
- 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. ... ve various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the p
- MATH-300: Basic Mathematics for Chemist
- istry. Trigonometric, logarithmic and exponential functions. Differentiation, partial differentiation, diffe... 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. ... ve various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the p
- MTH604: Fixed Point Theory and Applications (Fall 2022)
- ear integral equations, real and complex implicit functions theorems and system of nonlinear equations. Some... 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. ... ve various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the p
- MTH211: Discrete Mathematics (Spring 2022)
- ast to Calculus. where we enjoy the continuity of functions and the set of real numbers. This course is intr... 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 functions, orde
- MTH322: Real Analysis II (Spring 2022)
- ]]. ===== Course Contents: ===== **Sequences of functions:** convergence, uniform convergence, uniform con... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test,
- MTH322: Real Analysis II (Fall 2021)
- ]]. ===== Course Contents: ===== **Sequences of functions:** convergence, uniform convergence, uniform con... differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test,
- MTH211: Discrete Mathematics (Fall 2020)
- ast to Calculus. where we enjoy the continuity of functions and the set of real numbers. This course is intr... 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 functions, orde
- MTH604: Fixed Point Theory and Applications (Spring 2021)
- ear integral equations, real and complex implicit functions theorems and system of nonlinear equations. Some... 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
- 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