## GTU NSM (2140001) | Maths-4

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GTU NSM (Numeric And Static Method) / Maths – 4 Provides You To Facility To**Download GTU Syllabus Of NSM,****Topic Wise Notes Of NSM / Maths-4,****GTU Question Papers Of NSM,****All Equations Of NSM / Maths-4 Chapter Wise.**

**Note : This Page Contain all things about old syllabus of GTU maths – 4 with subject code (2110014).**

**(1) **First Button Contain Syllabus Of Old Maths -4 Known As NSM (Numeric And Static Method) With Subject Code (2140001) .

**(2)**Second Button Topic Wise Notes Contains the descriptions, definitions, examples with solution topic wise separately so, you can easily understand topic and clear your doubts.

#### NSM (Numeric And Static Method) / Maths -4 contains ten (10) Chapters :

**(1) Complex Numbers and Functions**

- Limits of Functions, Continuity, Differentiability, Analytic functions Cauchy-Riemann Equations
- Necessary and Sufficient condition for analyticity
- Properties of Analytic Functions, Laplace Equation, Harmonic Functions
- Finding Harmonic Conjugate functions Exponential, Trigonometric, Hyperbolic functions and its properties
- Multiple valued function and its branches: Logarithmic function and Complex Exponent function

**(2) Complex Integration **

- Curves, Line Integrals (contour integral) and its properties
- Line integrals of single valued functions
- Line integrals of multiple valued functions (by choosing suitable branches)
- Cauchy-Goursat Theorem, Cauchy Integral Formula
- Liouville Theorem, Fundamental Theorem of Algebra, Maximum Modulus Theorems

**(3) Power Series **

- Convergence (Ordinary, Uniform, Absolute) of power series
- Taylor and Laurent Theorems, Laurent series expansions
- Zeros of analytic functions
- Singularities of analytic functions and their classification Residues: Residue Theorem, Rouche’s Theorem, Argument Principle

**(4) Applications of Contour Integration **

- Evaluation of various types of definite real integrals using contour integration method

**(5) Conformal Mapping and its applications **

- Mappings by elementary functions
- Mobius transformations
- Schwarz-Christoffel transformation

**(6)Interpolation**

- Interpolation by polynomials
- divided differences
- error of the interpolating polynomial

**(7) Numerical integration **

- Composite rules
- error formulae
- Gaussian integration

**(8) Linear algebraic equation **

- Solution of a system of linear equations: implementation of Gaussian elimination and Gauss-Seidel methods
- partial pivoting

**(9) Roots of equation **

- Solution of a nonlinear equation: Bisection and Secant methods
- Newton’s method
- rate of convergence
- Power method for computation of Eigen values

**(10) Ordinary differential equations **

- Numerical solution of ordinary differential equations
- Euler and Runge Kutta methods

So You can read all topics of these chapters And also solve examples by learning methods of each topics.**(3)** Third Button GTU question papers Contain question papers of previous years papers for practice.**(4)** Fourth Button contains All equations of maths – 4 / NSM (Numeric And Static Method) by chapter wise. It will Help You To Remember equations of topics and it’s easy to solve examples.

It’s like quick analysis of all chapters or we can say revision of all chapters by topic wise.

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#### AS PER OLD SYLLABUS :

(2110014) MATHS – 1 / VCLA

(2110015) MATHS – 2 / VCLA

(2130002) MATHS – 3 / AEM

(2140001) MATHS – 4 / NSM

#### AS PER NEW SYLLABUS :

(3110014) MATHEMATICS – 1

(3110015) MATHEMATICS – 2

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#### If You Want To More Then You Can Also Search for Other Engineering Maths Like :

**AS PER OLD SYLLABUS :**

**AS PER NEW SYLLABUS :**

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#### You Can Also Search for Question papers Of All Mathematics.

- New mathematics -2 (3110015)
- Calculus / Mathematics – 1 (2110014)
- VCLA / Mathematics – 2 (2110015)
- AEM / Mathematics – 3 (2130002)
- NSM / Mathematics – 4 (2140001)

#### For Get Other Mathematics Study Material You Can Go With :

- Calculus / Mathematics – 1 (2110014)
- VCLA / Mathematics – 2 (2110015)
- AEM / Mathematics – 3 (2130002)
- NSM / Mathematics – 4 (2140001)
- New mathematics -2 (3110015)
- New mathematics -1 (3110014)

As we know new syllabus not contain maths – 3 in new revisions.

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