• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • Home
  • JNTU Kakinada
    • Acadamic Calendars
    • Acadamic Regulations
    • Results (Jntuk)
    • Time Tables (Jntuk)
    • Syllabus Books
    • Question Papers
  • JNTU Hyderabad
    • Academic Calendar
    • Academic Regulations
    • Results (JNTUH)
    • Notifications
    • Question Papers (JNTUH)
    • Syllabus Books
    • Time Tables
  • JNTU Anantapur
    • Academic Calendar
    • Academic Regulations
    • Notifications
    • Results (JNTUA)
    • Syllabus Books
    • Time Tables
  • Career Guide
    • GD
    • HR Interview Questions
    • Jobs
    • Recruitment
  • Board Results
    • 10th Class
    • 12th Results
  • CET Exams
    • EAMCET Exam
    • ECET Exam
    • ICET Exam
    • LAWCET Exam
    • PGECET
    • PGLCET Exam
  • JNTUK Materials

JNTU FAST UPDATES

Fast and Genuine Info

  • ANU Updates
  • AU Updates
  • Anna university
  • Hall tickets/Admit Card
  • India Results
  • SBTET World
  • Recruitment
To Get Instant Updates/Alerts : Download Android App (75k + Installs)

JNTUK R20 1-1 Mathematics – II Material PDF Download

12/02/2021 by jfuadmin Leave a Comment

JNTUK R20 1-1 Mathematics – II Material PDF Download

Students those who are studying JNTUK R20 EEE Branch, Can Download Unit wise R20 1-1 Mathematics – II (M2) Material/Notes PDFs below.

jntuk-materials

JNTUK R20 1-1 Mathematics – II Material PDF Download

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.

UNIT-1

Solving systems of linear equations, Eigen values and Eigen vectors: (10hrs) Rank of a matrix by echelon form and normal form – Solving system of homogeneous and nonhomogeneous linear equations – Gauss Elimination method – Eigen values and Eigen vectors and properties (article-2.14 in text book-1).

Download UNIT-1 Material PDF

Unit-2:

Cayley–Hamilton theorem and Quadratic forms: (10hrs) 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).

Download UNIT-2 Material PDF

UNIT-3:

Iterative methods: (8 hrs) 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.

Download UNIT-3 Material PDF

UNIT-4:

Interpolation: (10 hrs) 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.

Download UNIT-4 Material PDF

UNIT-5: Numerical differentiation and integration, Solution of ordinary differential equations with initial conditions: (10 hrs) 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).

Download UNIT-5 Material PDF


TEXT BOOKS:

  1. B. S. Grewal, Higher Engineering Mathematics, 44th Edition, Khanna Publishers, 2018
  2. B. V. Ramana, Higher Engineering Mathematics, 6 th Edition, Tata McGraw Hill Education, 2007
  3. David Poole, Linear Algebra- A modern introduction, 4th Edition, Cengage, 2015

REFERENCE BOOKS:

  1. Steven C. Chapra, Applied Numerical Methods with MATLAB for Engineering and Science, Tata McGraw Hill Education, 4th Edition, 2018
  2. M. K. Jain, S.R.K. Iyengar and R.K. Jain, Numerical Methods for Scientific and Engineering Computation, New Age International Publications, 3rd Edition, 2020.
  3. Lawrence Turyn, Advanced Engineering Mathematics, CRC Press, 1st Edition 2014.

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)

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Search Here:

Follow Us

    facebook goresult google plus goresult Linkedin goresult
    Twitter goresult Pinterest goresult Youtube goresult

JNTUK PG Clustering Centers List For Regular/Supply Exams March 2021

AU Degree Time Tables March 2021 For 1st, 3rd, 5th Sem For BA, B.Sc, B.Com Courses

Punjab Patwari Admit Card 2021 – PSSSB Zilladar, Irrigation Exam Date

Andhra University will remain closed from 09-03-2021 to 14-03-2021

JNTUA 4-1 Sem Exams Scheduled on 10th March 2021 Are Postponed to 13th March 2021

AKNU Degree Time Table March 2021 – UG 1st 3rd 5th Sem Time Tables @ aknu.edu.in

Krishna University Degree Time Tables March 2021 For 3rd, 5th Sem BA, B.Com, B.SC

TISSNET Result 2021 – Cutoff, Score Card & Merit List Download @ tiss.edu

UP Police Jail Warder Result 2021 (Released) – Fireman Cutoff Marks, Selected candidates Merit List

TS PGECET 2021 Notification, Exam Dates, Online Application Form @ pgecet.tsche.ac.in

Footer

  • About us
  • Contact Us
  • Disclaimer
  • Privacy & Policy
  • Terms and Conditions
  • Sitemap

Jntufastupdates.com is an Informational website. The content given in this site has been collected from various sources. We try and ensure all the information contained in the website is accurate and up to date. We do not hold any responsibility of miscommunication or mismatching of information. Kindly confirm the updated information from the official web site or relevent authority. The JNTU FAST UPDATES is not an official website of any University.
© Copyright 2021 JNTU FAST Updates · All Rights Reserved.

Powered by: Cyware Technologies