# JNTUK B.TECH R20 1-2 Syllabus For Linear algebra and numerical methods – m-ii PDF 2022

January 12, 2022 2022-01-12 22:12## JNTUK B.TECH R20 1-2 Syllabus For Linear algebra and numerical methods – m-ii PDF 2022

# JNTUK B.TECH R20 1-2 Syllabus For Linear algebra and numerical methods – m-ii PDF 2022

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You will be able to find information about Linear algebra and numerical methods – m-ii along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Linear algebra and numerical methods – m-ii after reading this blog. Linear algebra and numerical methods – m-ii has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Linear algebra and numerical methods – m-ii can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

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### Linear algebra and numerical methods – m-ii Unit One

#### Solving systems of linear equations, Eigen values and Eigen vectors

Rank of a matrix by echelon form and normal form – Solving system of homogeneous and non- homogeneous linear equations – Gauss Eliminationmethod – Eigen values and Eigen vectors and properties (article-2.14 in text book-1).

### Linear algebra and numerical methods – m-ii Unit Two

#### Cayley–Hamilton theorem and Quadratic forms

Cayley-Hamilton theorem (without proof) – Applications – Finding the inverse and power of a matrix by Cayley-Hamilton theorem – Reduction to Diagonal form – Quadratic forms and nature of the quadratic forms – Reduction of quadratic form to canonical forms by orthogonal transformation.

Singular values of a matrix, singular value decomposition (text book-3).

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### Linear algebra and numerical methods – m-ii Unit Three

#### Iterative methods

Introduction– Bisection method–Secant method – Method of false position– Iteration method

– Newton- Raphson method (One variable and simultaneous Equations) – Jacobi and Gauss- Seidel methods for solving system of equations numerically.

### Linear algebra and numerical methods – m-ii Unit Four

#### Interpolation

Introduction– Errors in polynomial interpolation – Finite differences– Forward differences– Backward differences –Central differences – Relations between operators – Newton’s forward and backward formulae for interpolation – Interpolation with unequal intervals – Lagrange’s interpolation formula– Newton’s divide difference formula.

### Linear algebra and numerical methods – m-ii Unit Five

#### Numerical differentiation and integration, Solution of ordinary differential equations with initial conditions

Numerical differentiation using interpolating polynomial – Trapezoidal rule– Simpson’s 1/3rd and 3/8th rule– Solution of initial value problems by Taylor’s series– Picard’s method of successive approximations– Euler’s method – Runge-Kutta method (second and fourth order).

### Linear algebra and numerical methods – m-ii Course Objectives

To instruct the concept of Matrices in solving linear algebraic equations

To elucidate the different numerical methods to solve nonlinear algebraic equations

To disseminate the use of different numerical techniques for carrying out numerical integration. To equip the students with standard concepts and tools at an intermediate to advanced level mathematics to develop the confidence and ability among the students to handle various real world problems and their applications.

### Linear algebra and numerical methods – m-ii Course Outcomes

At the end of the course, the student will be able to

develop the use of matrix algebra techniques that is needed by engineers for practical applications(L6)

solve system of linear algebraic equations using Gauss elimination, Gauss Jordan, Gauss Seidel(L3)

evaluate the approximate roots of polynomial and transcendental equations by differentalgorithms (L5)

apply Newton’s forward & backward interpolation and Lagrange’s formulae for equal andunequal intervals (L3)

apply numerical integral techniques to different Engineering problems (L3)

apply different algorithms for approximating the solutions of ordinary differential equations withinitial conditions to its analytical computations (L3)

### Linear algebra and numerical methods – m-ii Text Books

B. S. Grewal, Higher Engineering Mathematics, 44th Edition, Khanna Publishers.

B. V. Ramana,Higher Engineering Mathematics, 2007 Edition, Tata Mc. Graw Hill Education.

David Poole, Linear Algebra- A modern introduction, 4th Edition, Cengage.

### Linear algebra and numerical methods – m-ii Reference Books

Steven C. Chapra, Applied Numerical Methods with MATLAB for Engineering andScience,Tata Mc. Graw Hill Education.

M. K. Jain, S.R.K. Iyengar and R.K. Jain, Numerical Methods for Scientific and EngineeringComputation, New Age International Publications.

Lawrence Turyn, Advanced Engineering Mathematics, CRC Press.

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Information about JNTUK B.Tech R20 Linear algebra and numerical methods – m-ii was provided in detail in this article. To know more about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application. Click below to download the CynoHub application.