Introduction and Objectives: In today’s world the practical problems are quite complex and it may not be possible to find their analytical solutions. Hence we have to resort to oriented numerical methods for solving them. Numerical analysis provides knowledge of various techniques to get mathematical entities involved in solving the problems.
Floating–Point Arithmetic and Errors, Rounding and Chopping of a Number and Associated Errors, Floating Point Representation of Numbers, Truncation errors and Taylor’s Series
Unit 2 : Solution of Linear Algebraic EquationsPreliminaries, Direct Methods, Gauss Elimination Method (Basic), Gauss Elimination Method (Row Interchanges: Pivotal condensation),Iterative Methods, Gauss Jacobi Iterative Method, The Gauss-Seidel Iteration Method, Comparison of Direct and Iterative Methods
Unit 3 : Solution of Non-linear EquationsNon Linear Equations, Solution of Non Linear Equations, Successive Substitution Method(Fixed point method), Bisection Method ,Newton-Raphson Method, Regula-falsi Method, Secant Method
What is Interpolation, Some Operators and their Properties, Interrelation between operators, Applications of operators on some functions
Unit 2 : Interpolation with Equal IntervalsDifference Table, Interpolation Methods, Newton Forward Difference Formula, Newton Backward Difference Formula, Central Difference Formula, Stirling’s Formula, Bessle’s Formula
Unit 3 : Interpolation with Unequal IntervalsLagrange’s Method, Divided Difference Method, Divided Difference Table, Newton’s Divided Difference Method
Differentiation by Forward/Backward Difference Formula, Differentiation by Central Difference Formula
Unit 2 : Numerical IntegrationMethodology’s of Numerical Integration, Rectangular Rule, Trapezoidal Rule, Simpsons (1/3) Rule
Unit 3 : Ordinary Differential EquationInitial Value and Boundary Value Problem, Euler’s Method, Improved Euler’s Method, Runge Kutta (R-K) Methods (of Order 2 and 4)
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I've been learning and working in graphic design for many years. I actually picked up so many tips to make my designs look better! I love that trainer is always saying the shortcuts and where to find certain things in the programs. I have n
Had a great experience with the course, the classes touch upon both the functional and theoretical aspects of programming, and the care in responding to questions as well as obvious dedication to continue updating and improving the course a
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Yes, This is the good session for me. I learned multiple things in this session like sentence formation, how can i used a,an,the articles and wh questions like where, who, what, how.....
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i joined the english speaking course because i wanted to learn english properly and improve my level of english .when i joined udemy ,i experienced a lot of thing and i gained a lot of knowledge about english. i got confidence too and now i
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This MS Excel course is very student friendly and easy to cope up with our daily work schedule.attitude academy has done an excellent job in presenting the content in simple way covering almost all the topics from beginner level to VBA.
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