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GEC Multan

Download Notes of Mathematical Method by SM Yousuf

Notes of the Mathematical Method written by by S.M. Yusuf, A. Majeed and M. Amin and published by Ilmi Kitab Khana, Lahore.


List of chapters

Chapter 04: System of Linear Equations

The difficulty level of this chapter is low. Most of the questions involve calculations. This chapter is wide range of applications in Linear Algebra and Operations Research. In many universities teachers include this chapter in the syllabus of Linear Algebra and Operations Research for BS students of mathematics and other subjects.
  • Preliminaries
  • Equivalent equations
  • Gaussian elimination method
  • Gauss-Jordan elimination method
  • Consistency criterion
  • Network flow problems
ARW Exercise 4Download PDF) (1 MiB, 1051 downloads)View online

Chapter 05: Determinants

  • Determinant of a square matrix
  • Axiomatic definition of a determinant
  • Determinant as sum of products of elements
  • Determinant of the transpose
  • An algorithm to evaluate Det A
  • Determinants and inverse of matrices
ARW Exercise 5.1Download PDF (1.27 MiB, 873 downloads)View online
ARW Exercise 5.2Download PDF (395.67 KiB, 4130 downloads)View online

Chapter 10: Higher Order Linear Differential Equations

  • Higher order linear differential equations
  • Exact equations
ARW Exercise 10.1Download PDF (290.29 KiB, 84 downloads)View online
ARW Exercise 10.2Download PDF (1.48 MiB, 5075 downloads)View online
ARW Exercise 10.3Download PDF (3.9 MiB, 40 downloads)View online
ARW Exercise 10.4Download PDF (608.67 KiB, 865 downloads)View online
ARW Exercise 10.5Download PDF (1.02 MiB, 100 downloads)View online
ARW Exercise 10.6Download PDF (749.21 KiB, 732 downloads)View online
ARW Exercise 10.7Download PDF (1.54 MiB, 322 downloads)View online

Chapter 11: The Laplace Transform

The Laplace Transform
Let f be a real valued piecewise continuous function defined on [0,\infty). The Laplace transform of f, denoted by \mathcal{L}(f), is the function F defined byF(s)=\int_0^{\infty} e^{-st} f(t) dt,provided the above improper integral converges. We have F=\mathcal{L}(f). Laplace transformation has lot of applications in engineering and applied mathematics.
Here is the list of contents given in this chapter.
  • The Laplace transform
  • Properties of the Laplace transform
  • Inverse Laplace transform
  • Convolution
  • Solution of initial value problem
ARWArticles of Ex 11.1Download PDF (486.17 KiB, 5102 downloads)View online
ARWExercise 11.1Download PDF (492.54 KiB, 5379 downloads)View online
ARWExercise 11.2Download PDF (594.78 KiB, 5283 downloads)View online
ARWExercise 11.3Download PDF (1.03 MiB, 6236 downloads)View online

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Aamir Rana is a Web Designer and an addicted Blogger. He is admin of official website of Govt Emerson College Multan and its social media accounts. Purpose of creating this blog is to facilitate students by providing them all updates regarding education. You can catch him on social media links given below.

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