Knowledge in Infinite Series

Handwritten Notes of Infinite Series

In B.Sc Honors Mathematics at Delhi University, Real Analysis is one of the hard subject which is difficult to understand. Real Analysis will be introduced to you in 2nd semester, 1st year and you will also study it in second and third year. In 2nd semester, you have three chapters to study in real analysis in which infinite series is one. Here I am sharing with you the handwritten notes of Infinite Series.

Engineering Mathematics 3 Ch 6 Infinite Series

Concepts of Types of infinite series. Convergent and Divergent series. Oscillatory series. Non-convergent series. Cauchy's General Principle Geometric series. solved examples and practice questions based on all the above concepts and previous years questions are also there.

finite volume method

The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations.[1] In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume. Because the flux entering a given volume is identical to that leaving the adjacent volume, these methods are conservative. Another advantage of the finite volume method is that it is easily formulated to allow for unstructured meshes. The method is used in many computational fluid dynamics packages. "Finite volume" refers to the small volume surrounding each node point on a mesh. Finite volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations of a solution using local data, and construct a global approximation by stitching them together. In contrast a finite volume method evaluates exact expressions for the average value of the solution over some volume, and uses this data to construct approximations of the solution within cells