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- Real Analysis Notes by Prof Syed Gul Shah
- al analysis, a discipline that explores the complexities of mathematical functions, limits, and sequen... the sequence $\{s_n\}$ converges to //s// then $\exists$ a positive integer such that $\left| {\,{s_n}... Theorem: For each irrational number //x//, there exists a sequence $\left\{{r_n}\right\}$ of distinct ... y if for any real number $\varepsilon >0$, there exists a positive integer $n_0$ such that $\left|\sum
- Mathematical Statistics by Ms. Iqra Liaqat
- * Relative frequency * Subjective approach * Axioms of probability * General law of addition of ... ibution (Gaussian distribution) * Point of inflexion (inflection) * Area under the normal curve * Inverse normal distribution * Normal approximation to binomial distribution * Correction for continuity * Normal approximation * Normal approximation to Poisson distrib
- Mechanics by Sir Nouman Siddique
- sm="6"> * Wallis Formula’s * Perpendicular axis theorem * K.E in general motion * Momental Ellipsoid * Equimomental System * Principle axis * Theorem (Existence of Principle axis theorem) * Working rule of finding Principle M.I and Principle Axis * Sph
- Classical Mechanics by Muhammad Usman Hamid
- d angular velocity of a rigid body about a fixed axis, moments and products of inertia of various bodi... der, spherical shell. Parallel and perpendicular axis theorem, Degrees of freedom, instantaneous axis and center of rotation, Motion of the center of mass... ee motion, Free rotation of a rigid body with an axis of symmetry, Rotating axes theorem. Euler"s dyna
- Advanced Analysis: Handwritten Notes
- * Ordered Set * Partially Ordered Set * Reflexive * Anti-symmetric * Transitive * Inverse Ordered * First Element * Last Element * Maximal Element * Minimal Element * The Linearly O
- Group Theory: Important Definitions and Results
- is associative and * (1) for all $a\in G$, $\exists$ $e\in G$ s.t $a\text{*} e= e\text{*} a =$ * (2) for each $a\in G$, $\exists$ $a^{-1}\in G$ s.t $a\text{*} a^{-1}=a^{-1}\te
- Mathematical Method by Muhammad Usman Hamid
- r-Lagrange’s equations. Necessary conditions for existence of an extremum of a functional. Constrained maxima and minima. **Perturbation Techniques:** Pertu
- Mathematical Statistics II by Sir Haidar Ali
- * Methods of point estimator * The method of maximum likelihood estimator * Likelihood function * Maximum likelihood Estimator * Normal Distribution
- Operation Research by Sir Haidar Ali
- degeneracy * Least cost method * Vogel’s approximation method or method of penalty * Optimal sol... ibution method or modi method or u-v method * Maximization in transportation problem * Assignment
- Operation Research: Handwritten Notes
- ution 2 * Standard form 2 * Conversion of maximization to minimization 3 * Linear programming... od 104 * Least cost method 106 * Vogel approximation method (VAM) 108 * Method of multipliers
- Theory of Optimization by Ma'am Iqra Razzaq
- solutions to issues involving the minimizing or maximization of a real function. It covers a wide rang... along with an objective function that has to be maximized or minimized. ^ Name |Theory of Optimizati
- Advance Analysis by Ms. Iqra Liaqat
- ets * Well ordered set * Ordinal numbers * Axiom of choice * Zorn's lemma </col> <col sm="6">
- Affine and Euclidean Geometry by Shahzad Idress
- evian Line, Ceva’s Theorem, Copolar Triangles, Coaxial Triangles, Desargues’ Theorem. * Platonic Pol
- Algebra II by Syed Sheraz Asghar
- ent * Linear Span * Basis * Dimension * Maximal L.I Set * Minimal Set of generators * Inte
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- ating cylinders * Pressure distribution * Maximum Velocity * Shearing Stress * Torque on t