Nik Halik The Thrillionaire Pdf To Jpg

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GYAN VIHAR SCHOOL OF ENGINEERING & TECHNOLOGY Scheme of Teaching and Examination for M. (First Year) EFFECTIVE FROM ACADEMIC SESSION 2011-12 YEAR: 1 S.

Nik halik the thrillionaire pdf to jpg pdf

SEMESTER: I Subject Code 1 MA - 501 Advanced Abstract Algebra PC 4 Contact Hrs/Wk. L T/S P 3 1 0 2 MA – 503 Advanced Real Analysis PC 4 3 1 3 MA – 505 Differential Geometry PC 4 3 4 MA – 507 Special Functions PC 4 5 MA - 509 Programming in C PC 6 MA - 551 Computer Programming Lab PC Course Title PC: Programme Core Course Category Credits Th. 0 0 3 0 1 0 3 0 3 1 0 3 0 3 3 0 0 3 0 3 0 0 6 0 3 22 15 4 6 15 3 PE: Programme Elective YEAR: 1 S.

Exam Duration SEMESTER: II Subject Code 1 MA - 502 Linear Algebra PC 4 Contact Hrs/Wk. L T/S P 3 1 0 2 MA – 504 Topology PC 4 3 1 3 MA – 506 Mathematical Programming PC 4 3 4 MA – 508 Integral Transforms PC 4 5 MA - 510 PC 6 MA - 552 Object Oriented Programming with C Advanced Computer Programming Lab PC Course Title PC: Programme Core Course Category Credits Exam Duration Th.

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0 0 3 0 1 0 3 0 3 1 0 3 0 3 3 0 0 3 0 3 0 0 6 0 3 22 15 4 6 15 3 PE: Programme Elective GYAN VIHAR SCHOOL OF ENGINEERING & TECHNOLOGY Scheme of Teaching and Examination for M. (Second Year) EFFECTIVE FROM ACADEMIC SESSION 2012-13 YEAR: 2 S. SEMESTER: III Subject Code 1 2 MA - 601 MA – 603 Mechanics Functional Analysis PC PC 4 4 Contact Hrs/Wk. L T/S P 3 1 0 3 1 0 3 MA – 605 Differential Equations PC 4 3 1 4 MA – 607 PE 4 3 5 MA - 609 PE 4 6 MA – 611 Elective I – Advanced Discrete Mathematics Elective I – Information Theory PE 7 MA - 613 Elective I – Fuzzy Theory & Logic 8 MA - 615 9 MA - 651 Course Title Course Category Credits Th. 0 0 0 3 0 1 0 3 0 3 1 0 3 0 4 3 1 0 3 0 PE 4 3 1 0 3 0 SPSS Software PC 3 3 0 0 3 0 Computer Software Lab I PC 3 0 0 6 0 3 22 15 4 6 15 3 Elective – I (Any One) Elective I – Advanced Numerical Analysis PC: Programme Core PE: Programme Elective YEAR: 2 S. Exam Duration SEMESTER: IV Subject Code 1 MA - 602 Mathematical Theory of Statistics PC 4 Contact Hrs/Wk.

L T/S P 3 1 0 2 MA – 604 Operations Research PC 4 3 1 3 MA – 606 Integral Equations PC 4 3 4 MA – 608 PE 4 5 MA - 610 Elective II – Theory of Relativity PE 6 MA – 612 Elective II – Magneto - hydrodynamics 7 MA - 614 8 9 Course Title Course Category Credits Exam Duration Th. 0 0 3 0 1 0 3 0 3 1 0 3 0 4 3 1 0 3 0 PE 4 3 1 0 3 0 Elective II – Cryptography PE 4 3 1 0 3 0 MA - 616 Matlab Programming PC 3 3 0 0 3 0 MA - 652 Computer Software Lab II PC 3 0 0 6 0 3 22 15 4 6 15 3 Elective – II (Any One) Elective II – Continuum Mechanics PC: Programme Core PE: Programme Elective ADVANCED ABSTRACT ALGEBRA (MA – 501) UNIT I II III IV CONTENTS OF THE SUBJECT HOURS Direct product of groups (External and Internal). Isomorphism theorems-Diamond isomorphism theorem. Butterfly Lemma, Conjugate classes (Excluding p-groups), 7 Commutators, Derived subgroups, Normal series and Solvable groups. Composition series, Refinement theorem and Jordan-Holder theorem for infinite groups. Euclidean rings, Modules, Submodules, Quotient modules, Direct sums and 7 Module Homomorphism. Generation of modules, Cyclic modules.

Linear transformation of vector spaces. Dual basis and their properties, Dual maps, Annihilator. 7 Field theory – Extension fields. Algebraic and Transcendental extensions. Separable and inseparable extensions, Normal extensions. Splitting fields. 7 Galois theory – the elements of Galois theory, Automorphism of extensions.

Fundamental theorem of Galois theory, Solutions of polynomial equations by V radicals and Insolvability of general equation of degree five by radicals. Recommended Books: 1. Topics in Algebra: I. Algebra: Maclane and Birkhoff 3. Modern Algebra: R. Abstract Algebra: Shanti Narain 7 LINEAR ALGEBRA (MA – 502) HOURS UNIT CONTENTS OF THE SUBJECT Matrices of linear maps. Matrices of composition maps, Matrices of dual map, Eigen I II III IV V values, Eigen vectors, Rank and Nullity of linear maps and matrices.

Invertible matrices, Similar matrices. Determinants of matrices and its computations, Characteristic polynomial and eigen values. Canonical and Bilinear Forms: Jordan Forms, The Rational Forms, Bilinear Forms: Definition and Examples, The matrix of a Bilinear Form, Orthogonality, Classification of Bilinear Forms.

Real inner product space, Schwarz’s inequality, Orthogonality, Bessel’s inequality, Adjoint, Self adjoint linear transformation and matrices, Principal axis theorem. Polar and singular value. Recommended Books: 1. Linear Algebra 2. Linear Algebra 3. Linear Algebra 4. Lang: Kofman and Kunze: Bisht and Sahai: S.

Mclane and G. 7 7 7 7 7 ADVANCED REAL ANALYSIS (MA – 503) UNIT CONTENTS OF THE SUBJECT HOURS Algebra and algebras of sets.

Algebra generated by a class of subsets, Borel sets, Lebesgue measure of sets of real numbers. Measurability and Measure of a set. 7 I Existence of Non-measurable sets. Measurable functions, Realisation of non-negative measurable function as limit of an increasing sequence of simple functions, Structure of measurable functions, 7 II Convergence in measure, Egoroff’s theorem. Weierstrass’s theorem on the approximation of continuous function by polynomials. Lebesgue integral of bounded measurable functions, Lebesgue theorem on the 7 III passage to the limit under the integral sign for bounded measurable functions. Summable functions, Space of square summable functions, Fourier series and 7 IV coefficients.

Parseval’s identity, Riesz-Fisher theorem. Lebesgue integration of R2, Fubini’s theorem. Lp-spaces, Holder – Minkowski 7 V p inequalities. Completencess of L -spaces. Recommended Books: 1. Real Analysis: H.L.

Methods of Real Analysis: Goldberg 3. Theory of Function’s of Real Analysis: I.P. A course of Analysis: E.G. Lebesgue Measure & Integration: P.K. Gupta TOPOLOGY (MA – 504) HOURS UNIT CONTENTS OF THE SUBJECT Topological spaces, Subspaces, Open sets. Neighbourhood system. Bases and I II III IV V sub-bases.

Continuous mapping and Homomorphism, Nets, Filters, Separation axioms (T o, T1, T2, T3, T4). Product and Quotient spaces. Compact and locally compact spaces. Tychonoffs one point compactification. Connected and Locally connected spaces, Continuity and Connectedness, and Compactness. Topological groups, Closed subgroups and the topology on the spaces of right / left cosets.

Locally compact group and Compact groups. Left/ right Haar measures on locally Compact groups, Existence and Uniqueness of left/ right Haar measure. Unimodularity with a proof that compact groups are unimodular.

Nik Halik The Thrillionaire Pdf To Jpg Files

Recommended Books: 1. General Topology 2.

Basic Topology 3. Introduction to General Topology 4. Introduction to Topology and Modern Analysis 5. Armstrong: K. Simmons: Purohit & Pareek 7 7 7 7 7 DIFFERENTIAL GEOMETRY (MA – 505) HOURS UNIT I II III IV V CONTENTS OF THE SUBJECT Space curves, Tangent, Contact of curve and surface, Osculating plane, Principal normal and Binormal, Curvature, Torsion, Serret-Frenet’s formulae. Osculating circle and Osculating sphere, Existence and Uniqueness theorems, Betrand curves.

Involute, Evolutes, Conoids, Inflexional tangents, Singular points, Indicatrix. Envelope, Edge of regression, Ruled surface, Developable surface, Tangent plane to a ruled surface.

Necessary and sufficient condition that a surface J= ƒ (ξ, ŋ) should represent a developable surface. Metric of a surface, first, second and third fundamental forms. Fundamental magnitudes of some important surfaces, Orthogonal trajectories. Normal curvature, Meunier’s theorem. Principal directions and Principal curvatures. First curvature, Mean curvature, Gaussion curvature, Umbilics.

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Radius of curvature of any normal section at an umbilic on z = f (x,y). Radius of curvature of a given section through any point on z = f (x,y). Lines of curvature. Principal radii, Relation between fundamental forms. Asymptotic lines, Differential equation of an asymptotic line, Curvature and Torsion of an asymptotic line. Geodesics, Differential equation of a geodesic, Single differential equation of a geodesic, Geodesic on a surface of revolution, Geodesic curvature and Torsion. Gauss-Bonnet theorem.

Gauss’s formulae, Gauss’s characteristic equation. Weingarten equations, Mainardi – Codazzi equations. Fundamental existence theorem for surfaces. Parallel surfaces. Gaussian and mean curvature for a parallel surface, Bonnet’s theorem on parallel surfaces. Recommended Books: 1. Differential Geometry 2.

Introduction to Differential Geometry 3. Differential Geometry of Curves and Surfaces 4.

Differential Geometry:::: 7 7 7 7 7 C.E. Weatherburn J. Bansal & P.R.

Sharma MATHEMATICAL PROGRAMMING (MA – 506) HOURS UNIT I II III IV V CONTENTS OF THE SUBJECT Separating and supporting hyperplane theorems. Revised Simplex method for linear programming problems (LPP), Bounded variable problem. Convex function. Integer programming.

Gomory’s algorithm for the all integer programming problems, Branch and Bound techniques. Quadratic forms. Lagrange function and multiplier. Non-linear programming problems (NLPP) and its fundamental ingredients. Necessary and Sufficient conditions for saddle points.

Kuhn-Tucker theorem. Convex separable programming algorithm. Kuhn-Tucker conditions for optimisation for NLPP. Quadratic programming, Wolf’s method. Beale’s method.

Duality in Quadratic programming. Dynamic programming, Principle of optimality due to Bellman, Solution of an LPP by dynamic programming. Recommended Books: 1. Operations Research 2. Operations Research, Theory and Application 3. Linear Programming 4. Quantitative techniques in Management:::: H.

Vohra 7 7 7 7 7 SPECIAL FUNCTIONS (MA – 507) HOURS UNIT I II III IV V CONTENTS OF THE SUBJECT Gauss’s Hypergeometric functions: Definition, properties of Gauss’s Hyper geometric functions. An integral representation. Linear transformations. Gauss’s Hypergeometric differential equation and its solution. Linear relation between the solutions of Hypergeometric equation. Kumer’s confluent hypergeometric function. Legendre Polynomials and functions: Introduction, legendre functions of first & second kind.

Generating functions and their recurrence relations. Rodrigues formula for Pn(x), Orthogonality of legendre polynomials.

Laplaces finite integrals for Pn(x). Bessel functions: Bessel’s equation and its solution. Recurrence relations for Bessel function Jn(x), Generating functions for Jn(x). Expansion of xn of a series of Bessel function’s. Integral representation of Bessel function Jn(x). Hermite Polynomials: Definition, Recurrence relations, Orthogonality of Hermite polynomials.

The Rodrigues formula for Hn(x). Hermite differential equation and its solution. Laguerre Polynomials: Laguerre’s differential equation and its solution. Generating function. Rodrigues formula. Orthogonality of lagurre polynomials. Expansion of xn is series of Laguerre polynomials.

G-function: Definition, Elementary properties of G-function, Multiplication Theorems. Integrals involering G-functions. Integral of the product of two G-functions. Recommended Books: 1. Special functions 2. Special functions of Mathematical Physics & Chemistry 3. Special functions 4.

Special functions 5. Special functions and their Approximations 7 7 7 7 7: Rainville, E.D.: Saddon, J.N.: Luke: Saxena & Gokhroo: Yudell L. Luke INTEGRAL TRANSFORMS (MA – 508) HOURS UNIT CONTENTS OF THE SUBJECT Laplace Transform: Definition and its properties.

Rules of manipulations. Laplace theorems I II III IV V of derivatives and integrals.

Inverse Laplace transform. Properties of inverse Laplace transform, Convolution theorem, Complex inversion formulas. Applications of Laplace transform to the solutions of ordinary differential equations with constant and variable coefficients and simple boundary value problems. Fourier Transform: Definition and properties of Fourier sine and cosine and complex transforms. Convolution theorem. Inversion theorems and Fourier Transform of derivatives. Application of Fourier transform to the solution of the partial differential equations.

Mellin, Transform: Definition and elementary properties, Mellin transforms of derivatives and integrals. Inversion theorem and convolution theorem. Infinite Hankel transform: Definition and elementary properties. Hankel transform of derivatives, Inversion theorem and parseval theorem. Application to the solution of simple boundary value problems.

Recommended Books: 1. The use of Integral Transforms 2. Generalized Integral Transforms 3. Integral Transforms: Sneddon, I. N.: Ze manian, A.H.: Gokhroo and Ojha 7 7 7 7 7 PROGRAMMING IN C (MA – 509) Unit Course Contents Hours I Operators & Expressions:- Arithmetic operators, relational operators, logical operators, assignment operators, increment and decrement operators, conditional operators, bitwise operators, special operators, arithmetic expressions, precedence of arithmetic operators, type conversions in expressions, operator precedence and associatively, mathematical functions, reading a character, writing a character. 9 II Decision Making & Branching: - Decision making with if statement, the if -else statements, nesting of if - else statements, the else –if ladder, The switch statement, The?

Operator, The Goto statement, The while statement, The do while statement. 7 III Arrays & Strings:- One – dimensional arrays, Declaration of one dimensional arrays, Initialization of one dimensional arrays, Two dimensional arrays, Initializing two dimensional arrays, Declaring and initializing string variables, Reading strings from terminal, Writing strings to screen, Arithmetic operations on characters, putting strings together, comparison of two strings, string handling functions. 7 IV Functions & Pointers:- Need for user-defined functions, A multifunction program, Elements of user defined functions, Definition of functions, Return values and their types. Function calls, Function declaration, Category of functions, Recursion. Defining a structure, Declaration structure variables, Accessing structure members, Unions, Declaration of pointer variables, Initialization of pointer variables, accessing variables through its pointer. 7 V Application of C language in mathematics: Implementation of hermite polynomials, Implementation of matrix inversion 6 Recommended Books: 1. Programming in C2.

C Programming a Modern Approach 4. How to Program C: Yaswant Kanitkar(BPB).: Balagurusamy(TMH).: KN King: Deital and Deitel OBJECT ORIENTED PROGRAMMING WITH C (MA – 510) Unit Course Contents Hours I OOP FUNDAMENTALS:- Overview of C: Object oriented programming, Concepts, Advantages, Usage, C Environment: Program development environment, the language and the C language standards. Classes & Objects:- Classes, Structure & classes, Union & Classes, Friend function, Friend classes, Inline function, Scope resolution operator, Static class members, Static data member, Static member function, Passing objects to function, Returning objects, Object assignment 7 II Inheritance:- Base class Access control, Protected members, Protected base class inheritance, Inheriting multiple base classes, Constructors, destructors in Inheritance, when constructor and destructor function are executed, passing parameters to base class constructors, granting access, virtual base classes. The Dynamic Allocation operators: Array of objects, Pointers to object. 7 III Function & operator overloading:- Function overloading, Operator Overloading: Creating a member operator function, Creating Prefix and Postfix forms of the increment and decrement operation, Operator overloading restrictions, operator overloading using friend function. Virtual functions & Polymorphism:- Virtual function, Pure Virtual function, The C I/O system and file system 9 IV An overview of Java: Introduction and history of java Date types, variables and arrays: Integers, floating-point types, characters, Boolean, Iterates, Variable, Data types and casting, automatic type Operators: Arithmetic operators, bit wise operators, relational operators, Boolean logical assignment operators, the? Operator, operator precedence Control statements: -Java's selection statements, iteration statements Classes: Class fundamentals, declaring object reference variable, Introducing methods, constructors, this key word, garbage collection, the finalize method.

Overloading methods, using objects as parameters 7 V Inheritance: Inheritance basics, using super, method overriding, dynamic method dispatch, using abstract Classes, Using final with inheritance, Package and Interfaces, Package asses protection, importing packages Exception handling: Exception handling fundamentals. Exception types, Uncaught Exceptions Using try and catch, multiple catch clauses, nested try statements throw, Finally Java built in exception creating your own exception sub classes, using exceptions. 7 Recommended Books: 1.

Object Oriented Programming with C: Balagurusamy (TMH) 2. Thinking in Java:Bruce Eckel 3. Object Oriented Programming C: R.Lafore 4. Java 2 Computer Reference:Tata McGraw Hill COMPUTER PROGRAMMING LAB (MA-551) S.No List of Experiments 1 Simple input program integer, real character and string. (Formatted & Unformatted) 2 Write a program to find greatest of two number 3 Write a program to generate Fibonacci series(0,1,12,3,5,) 4 Write a program to multiply two m X n and n X p matrix 5 Write a program to evaluate sin(x) 6 Write a program to compute nCr 7 Write a program to generate binomial series using factorial function. 8 Write a program to generate Hermite polynomial for a given variable using function factorial function. ADVANCED COMPUTER PROGRAMMING LAB (MA-552) S.No List of Experiments 1 Write a program in C for complex number addition and subtraction.

2 Write a program in C for complex number multiplication. 3 Write a program in C for complex number Division. 4 Write a program in C for using matrix class for all scalar operation on matrix. 5 Write a program in C for using matrix class for vector multiplication of matrix.

6 Write a program in C for using matrix class for inversion of matrix. 7 Write a program in C for using matrix class for solution of simultaneous equation 8 Write a program in java for demonstrating multiple inheritance using interface 9 Write a program in java for generating Fibonacci series 10 Write a program in java for generating ARMSTRONG number.

. Nik Halik is an Australian financial entrepreneur, motivational speaker and crazy ass adventurer.

He’s climbed the highest mountains, drove to the bottom of the Titanic for lunch, and is funding his own way to the International Space Station ($30 million for a round trip). I caught up with Nik in Fiji for lunch. We had a nice talk and I even got him to reveal his best success tips on video.

You can watch the clip below. After lunch, we went jet skiing, where I found out that Nik jet skis like a mad man. Even the jet ski instructors thought he was crazy! Jet skiing with Nik is great, but I’m going to say no if he invites me to jump from 40,000 to land on top of a mountain.