# JNTUH B.tech R18 M2 Syllabus 2021

September 8, 2021 2024-04-11 17:49## JNTUH B.tech R18 M2 Syllabus 2021

# JNTUH B.tech R18 M2 Syllabus 2021

**JNTUH B.tech R18 M2 Syllabus** along with Course Objectives and Course outcome and list of textbook and reference books is mentioned in this blog. The subject of Mathematics 2 has 8 units in total. Topic and sub-topics of Mathematics 2 are mentioned below in detail. If you have any problem in understanding Mathematics 2 or any other Engineering Subject in any semester or in any year then you can view the video lectures on the official CynoHub app.

#### JNTUH B.tech R18 M2 Syllabus Unit – 1:

##### Vector Calculus:

Vector Calculus: Scalar point function and vector point function, Gradient- Divergence- Curl and their related properties. Solenoidal and irrotational vectors – finding the Potential function. Laplacian operator. Line integral – work done – Surface integrals -Volume integral. Green’s Theorem, Stoke’s theorem and Gauss’s Divergence Theorems (Statement & their Verification).

#### JNTUH B.tech R18 M2 Syllabus Unit – 2:

#### Fourier series and Fourier Transforms:

Definition of periodic function. Fourier expansion of periodic functions in a given interval of length 2 . Determination of Fourier coefficients – Fourier series of even and odd functions – Fourier series in an arbitrary interval – even and odd periodic continuation – Half-range Fourier sine and cosine expansions. Fourier integral theorem – Fourier sine and cosine integrals. Fourier transforms – Fourier sine and cosine transforms – properties – inverse transforms – Finite Fourier transforms.

#### JNTUH B.tech R18 M2 Syllabus Unit – 3:

##### Interpolation and Curve fitting

Interpolation: Introduction- Errors in Polynomial Interpolation – Finite differences- Forward Differences- Backward differences –Central differences – Symbolic relations of symbols. Difference expressions – Differences of a polynomial-Newton’s formulae for interpolation – Gauss Central Difference Formulae –Interpolation with unevenly spaced points-Lagrange’s Interpolation formula. Curve fitting: Fitting a straight line –Second degree curve-exponential curve-power curve by method of least squares.

#### JNTUH B.tech R18 M2 Syllabus Unit – 4:

##### Numerical techniques

Solution of Algebraic and Transcendental Equations and Linear system of equations: Introduction – Graphical interpretation of solution of equations .The Bisection Method – The Method of False Position – The Iteration Method – Newton-Raphson Method . Solving system of non-homogeneous equations by L-U Decomposition method (Crout’s Method). Jacobi’s and Gauss-Seidel iteration methods.

#### Mathematics 2 Syllabus JNTUH Unit – 5:

##### Numerical Integration and Numerical solutions of differential equations:

Numerical integration – Trapezoidal rule, Simpson’s 1/3rd and 3/8 Rule , Gauss-Legendre one point, two point and three point formulas. Numerical solution of Ordinary Differential equations: Picard’s Method of successive approximations. Solution by Taylor’s series method – Single step methods-Euler’s Method-Euler’s modified method, Runge-Kutta (second and classical fourth order) Methods. Boundary values & Eigen value problems: Shooting method, Finite difference method and solving eigen values problems, power method

##### JNTUH B.tech R18 M2 Syllabus Course Objectives :

- The objective is to find the relation between the variables x and y out of the given data (x,y).
- The aim to find such relationships which exactly pass through data or approximately satisfy the data under the condition of least sum of squares of errors.
- The aim of numerical methods is to provide systematic methods for solving problems in a numerical form using the given initial data.
- This topic deals with methods to find roots of an equation and solving a differential equation.
- The numerical methods are important because finding an analytical procedure to solve an equation may not be always available.
- In the diverse fields like electrical circuits, electronic communication, mechanical vibration and structural engineering, periodic functions naturally occur and hence their properties are very much required.

##### JNTUH B.tech R18 M2 Syllabus Syllabus Course Outcomes :

- Helps in describing the system by an ODE, if possible. Also, suggests to find the solution as a first approximation.
- One will be able to find the expansion of a given function by Fourier series and Fourier Transform of the function.
- Helps in phase transformation, Phase change and attenuation of coefficients in acoustics.
- After studying this unit, one will be able to find a corresponding Partial Differential Equation for an unknown function with many independent variables and to find their solution.

##### Mathematics 2 Syllabus JNTUH Referance Books:

- Advanced Engineering Mathematics by Kreyszig, John Wiley & Sons.
- Higher Engineering Mathematics by Dr. B.S. Grewal, Khanna Publishers.
- Mathematical Methods by T.K.V. Iyengar, B.Krishna Gandhi & Others, S. Chand.
- Introductory Methods by Numerical Analysis by S.S. Sastry, PHI Learning Pvt. Ltd.
- Mathematical Methods by G.Shankar Rao, I.K. International Publications, N.Delhi
- Advanced Engineering Mathematics with MATLAB, Dean G. Duffy, 3rd Edi, 2013, CRC Press Taylor & Francis Group.
- Mathematics for Engineers and Scientists, Alan Jeffrey, 6ht Edi, 2013, Chapman & Hall/ CRC
- Advanced Engineering Mathematics, Michael Greenberg, Second Edition. Person Education
- Mathematics For Engineers By K.B.Datta And M.A S.Srinivas, Cengage Publications

## Scoring marks in JNTUH B.tech R18 M2 Syllabus

Scoring good grades in Mathematics 2 is a difficult task. CynoHub is here to help. We have made a video which will help Engineering Students get rank 1 in their B.tech exams this video will help students to score good grades in Mathematics 2. There are many reasons that scoring in Mathematics 2 exams is difficult so this video will help you to rectify the mistakes students make in exam.

**JNTUH B.tech R18 M2 Syllabus** was made clear in this article. To know about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application.

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## Comments (2)

## praveen josh

i need to pass m2

## praveen josh

nesscessary to [pas]