Numerical Analysis Study Materials 2020 – Download Unit wise PDFs & Important Topics

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Download Numerical Analysis Study Materials 2020. In this article, we are going to provide Study Notes for the School of Sciences. Numerical Methods is one of the subjects in the courses of B.Sc, M.Sc (Mathematics). Here we provide the materials for the important concepts of Solutions of Non-Linear Equations, Interpolation, etc. Download the Study Books, Important Questions of this subject from Exams Time website for better preparation. Unit wise PDFs are also provided below.

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Numerical Analysis Study Materials - Download E-Books PDF & Imp Topics

Numerical Analysis Study Materials

Name of the Subject Numerical Analysis 
Category School of Sciences
Useful for B.Sc, M.Sc (Mathematics)
Course Type Under Graduation and Post Graduation Courses
Article on Study Materials 2020
Study Material Format PDF
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Numerical Methods E-Books

Subject  Download Links 
Numerical Analysis Download 
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Numerical Analysis Study Books

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Numerical Analysis Download 
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Chapters & Topics

Solution of Non-linear Equations in One Variable

  • Approximate Roots of Polynomial Equations
  • Chord Methods for Finding Roots
  • Iteration Methods for Locating a Root
  • Review of Calculus

Solution of Linear Algebraic Equations

  • Eigenvalues and Eigenvectors
  • Iterative Methods
  • Inverse of a Square Matrix
  • Direct Methods

Interpolation

  • Interpolation at Equally Spaced Points
  • Newton Form of the Interpolating Polynomial
  • Lagrange’s Form

Numerical Differentiation, Integration and Solution of Differential Equations

  • Solution of Ordinary Differential Equations Using Runge-Kutta Methods
  • Numerical Solution of Ordinary Differential Equations
  • Numerical Integration
  • Numerical Differentiation

Subject in the Universities

This subject will be useful to the students who are pursuing a B.Sc, M.Sc in Mathematics. The following university students can also download Numerical Analysis study materials :

  • IGNOU
  • Uttarakhand Open University
  • University of Calicut
  • Pondicherry University

Subject in the Semesters

Numerical Analysis subject will be studied by the students in the following semesters of their respective courses :

  • B.Sc Mathematics VI Semester
  • M.Sc Mathematics I Year

Unit wise PDFs

Download Unit wise PDFs of Numerical Analysis subject :

Units  Download Links 
Solution of Non-linear Equations in One Variable Download
Solution of Linear Algebraic Equations Download
Interpolation Download
Numerical Differentiation, Integration and Solution of Differential Equations Download

Important Topics

We have mentioned some of the important topics of Numerical Analysis subject :

  • Birge-Vieta Method
  • Graeffe’s Root Squaring Method
  • Regula-Falsi Method
  • Newton-Raphson Method
  • Bisection Method
  • Fixed Point Iteration Method
  • Intermediate Value Theorem
  • Rolle’s Theorem
  • Lagrange’s Mean Value Theorem
  • Taylor’s Theorem
  • Round-off Error
  • Truncation Error
  • Eigenvalue Problem
  • The Inverse Power Method
  • The General Iteration Method
  • The Jacobi Iteration Method
  • The Gauss-Seidel Iteration Method
  • The Gauss-Jordan Reduction Method
  • LU Decomposition Method
  • Cramer’s Rule
  • Gauss Elimination Method
  • Lagrange’s Form
  • Inverse Interpolation
  • Newton’s General Form of Interpolating Polynomial
  • Divided Differences and Derivatives
  • Forward Differences
  • Backward Differences
  • Central Difference
  • Newton’s Forward Difference Formula
  • Newton’s Backward Difference Formula
  • Stirling’s Central Difference Formula
  • Taylor Series Method
  • Euler’s Method
  • Richardson’s Extrapolation
  • Runge-Kutta Methods of Second Order
  • Runge-Kutta Methods of Third Order
  • Runge-Kutta Methods of Fourth Order
  • Methods Based on Interpolation
  • Methods Using Lagrange Interpolation
  • Methods Using Newton’s Forward Interpolation
  • Composite Integration
  • Romberg Integration
  • Methods Based on Undetermined Coefficients

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