# Mathematics 2 Syllabus JNTUK (M2) R20

Mathematics 2 Syllabus JNTUK 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 5 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.

#### Mathematics 2 Syllabus JNTUK Unit - 1:

##### 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.

#### Mathematics 2 Syllabus JNTUK Unit - 2:

##### 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.

#### Mathematics 2 Syllabus JNTUK Unit - 3:

##### 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.

#### Mathematics 2 Syllabus JNTUK Unit - 4:

##### 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.

#### Mathematics 2 Syllabus JNTUK Unit - 5:

##### 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).

#### Mathematics 2 Syllabus JNTUH 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.

#### Mathematics 2 Syllabus JNTUH Course Outcomes :

• 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 different algorithms (L5)
• apply  Newton’s  forward  &  backward  interpolation  and    Lagrange’s  formulae  for  equal  and unequal intervals (L3)
• apply numerical integral techniques to different Engineering problems (L3)
• apply different algorithms  for approximating the solutions of ordinary differential equations with initial conditions to its analytical computations  (L3)

#### Mathematics 2 Syllabus JNTUK Reference Books:

• Steven C. Chapra, Applied Numerical Methods with MATLAB for Engineering and Science, Tata Mc. Graw Hill Education.
• M. K.  Jain, S.R.K.  Iyengar and  R.K.  Jain,  Numerical  Methods for  Scientific and  Engineering Computation, New Age International Publications.
• Lawrence Turyn, Advanced Engineering Mathematics, CRC Press.

### Scoring marks in Mathematics 2 JNTUK

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.

Mathematics 2 Syllabus JNTUK was made clear in this article. To know about the syllabus of other Engineering Subjects of JNTUK check out the official CynoHub application. Click below to download the CynoHub application.

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