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Quantitative Reasoning II (Tools for Reasoning Skills)
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ves, and set theory. Additionally, it delves into linear and non-linear models, equations, inequalities, and their real-world implications. The final section offe... predicates, Logical fallacies and its types * Linear and non-Linear Models * Deterministic and population growth models * Introduction to rectangula
Topology: Handwritten Notes
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osed unit ball; Convex set * Vector space * Linear combination; Spanning set; Linearly independent * Linearly dependent * Linearly independent lemma * Finite dimensional; Subspace * Equivalent norms *
Functional Analysis by Mr. Tahir Hussain Jaffery
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athematics concerned with vector space theory and linear algebra. It requires looking into the relationshi... ="6"> * Norm * Examples of normed * Normed linear space * Bounded linear operator * Continuous linear operator * Norm of operator * Isomorphism * Isometric isomorphism
Operation Research by Sir Haidar Ali
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==Summary & contents==== <grid> <col sm="6"> * Linear programming * Linear function * Objective function * Optimal solution * General linear programming problem * Graphical solution of linear programming problem * Corner point * Infeasible
Functional Analysis by M Usman Hamid and Zeeshan Ahmad
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atics and its applications. The impetus came from linear algebra, linear ordinary and partial differential equations, calculus of variations, approximation theory and, in particular, linear integral equations, whose theory had the greatest... and convergence, completion, **Normed Spaces:** linear spaces, normed spaces, difference between a metri
Functional Analysis by Prof Mumtaz Ahmad
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thematics that deals with vector space theory and linear algebra. It entails researching the connections b... otient Space * Equivalent Norms * Topological Linear Space * Linear Operator * Finite Dimensional Normed Space * Cauchy Schwarz Inequality * Orthogona
Partial Differential Equations (PDE) by M Usman Hamid
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ition Principle, Exercises * FIRST-ORDER QUASI-LINEAR EQUATIONS AND METHOD OF CHARACTERISTICS * Cla... General Solutions, Canonical Forms of First-Order Linear Equations, Method of Separation of Variables, Exe... consequences. * CLASSIFICATION OF SECOND-ORDER LINEAR EQUATIONS * Second-Order Equations in Two Ind
Classical Mechanics by Muhammad Usman Hamid
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energy theorem, impulse, torque. Conservation of linear and angular momentum. Atwood machine, Virial Theo... igid and elastic bodies, translations, rotations. Linear and angular velocity of a rigid body about a fixe
Multivariable Calculus by M Usman Hamid and M Zeeshan Ahmad
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calculus and other areas of mathematics, such as linear algebra and differential equations. * **Name:*... * Differentiability * Tangent Planes and Linear Approximations * The Chain Rule * Partial
Ordinary Differential Equations (ODE) by Hammad Safi
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ormulae of DEs * DE Reducible to Exact Form * Linear Equation of Order 1 * The Bernoulli Equation * 1st ORder Non-linear ODEs * Clairaut's Equation * Singular Solutio
Mechanics III (Analytic Dynamics II) by Dr Babar Ahmad
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tudents have completed their courses in Calculus, Linear Algebra and Differential Equations and Mechanics
Partial Differential Equations (PDE) by Muzammil Tanveer
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ise Continuous function * Laplace Transform * Linearity Property * First Shifting property * Secon
Quantitative Reasoning-I (Exploring Quantitative Skills)
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ctical scenarios involving algebraic expressions: linear and quadratic ==== Download or View online ====