Numerical Method

This is One shot videos playlist by Ashish Panta (Nepali Science Guru), however this does not cover PDE. If you are just watching before exam, quickly checkout these videos and practice questions. If you have time remaining then you can dedicately checkout chapterwise videos.

This is fundamental chapter which means that this builds a lot of base for next chapters. Relatively this chapter is very easy. You must know terms like True Errors, Relative Errors, Approximate Errors before you go to next chapters. Also basic of taylor series will help in dervations as well.

10 marks from this chapter usually (surely 5 marks atleast). In Numerical method, you will learn different methods to solve different problems. For each problem, you must learn method and algorithm (program also for practical). In this chapter you will learn how to solve non-linear equations with algorithm (keep that in mind).

Interpolation means fitting a curve exactly through given points. This chapter is fairly difficult. Netwon Divided Difference method is asked frequently in exam. Spline Interpolation is a bit more harder.

Very easy compared to other chapters. Sure 5 marks in exam after you learn 2 main topics: Linear Regression (mainly this) and Non linear Regression. You might know Linear regression from class 12.

Sure 15 marks (rarely 20 marks). Many topics but they are fairly easy. You must spend sometime and practice some questions. Be sure to grab 15 marks from this chapter in exam.

Newton Divided Difference method from chapter 3 is necessary to understand this chapter. This chapter is small and easy, but not much asked in exam. Content is not much available for it on youtube. 2nd video will give you basic understanding then you can checkout out remaining videos where particular method is explained with examples.

This is a important chapter for exam. But some guidelines will help you here. Basically, there are three types of integration methods: Newton Cote's Formula, Gaussian Formula & Romberg Formula. Newton Cote's is parent formula for Trapezoidal & Simpsons 1/3 and 3/8 rule. For exam the derivation is not required, learn the Trapezoidal and Simpson's formula. Gaussian and Romberg dont have derived formulas like Newton Cotes. We use Newton Cote's Derived formula when the interval is equally spaced else we use Gaussian or Romberg. Also while watching video of Gaussian or Romberg, have some patience since it is new concept, just learn how to use them in exam.

A slight confusion that might occur is that Heuns Method is also called Modified Eulers Method. Also System of ODE and higher order equations can be solved by different methods like Euler, Picard, Taylor, just because the video uploaded shows by one method does not mean they can't be solved using other. Practice a lot. Check past year questions also (maybe available soon).

Good content for this chapter is hard for us to find. Also besides Possion Equation Problem, frequent problem is not seen in exam. (If you have found videos that suits the course, provide the link through feedback)