- Teacher: Dr Muhammad Ahsan

## Available courses

- Teacher: Dr Tanveer Iqbal
- Teacher: Hira Nadeem
- Teacher: Dr. Ali Ashher Zaidi

- Teacher: Dr Haniya Azam
- Teacher: Dr Imran Naeem
- Teacher: Dr Amer Rasheed
- Teacher: Dr Mudassar Razzaq

This is the first course of a two semester course sequence. This course covers limits, continuity, differentiation and its applications, integrals and techniques of integration, applications of integrals, early transcendental functions.

- Teacher: Dr Haniya Azam
- Teacher: Dr Tanveer Iqbal
- Teacher: Dr Amer Rasheed
- Teacher: Dr Muhammad Usman

- Teacher: Dr Masood Hussain Shah
- Teacher: Dr Sultan Sial

This is the first course of a two semester sequence in linear algebra. This course gives a working knowledge of: systems of linear equations, matrix algebra, determinants, eigenvectors and eigenvalues, finite-dimensional vector spaces, matrix representations of linear transformations, matrix diagonalization, changes of basis, Separable and first-order linear equations with applications, 2nd order linear equations with constant coefficients, method of undetermined coefficients, Systems of linear ODE's with constant coefficients, Solution by eigenvalue/eigenvectors, Non homogeneous linear systems.

- Teacher: Dr Muhammad Usman
- Teacher: Dr. Ali Ashher Zaidi

**Symmetry
method for differential Equations/Symmetry ****Methods, Conservation laws and Exact Solutions for differential ****Equations**

- Teacher: Dr Imran Naeem

This is the first course of a two semester course sequence. This course covers limits, continuity, differentiation and its applications, integrals and techniques of integration, applications of integrals, early transcendental functions.

- Teacher: Dr. Ali Ashher Zaidi

Linear Algebra with Differential Equations

- Teacher: Dr Mudassar Razzaq

This is the first course of a two semester course sequence. This course covers limits, continuity, differentiation and its applications, integrals and techniques of integration, applications of integrals, early transcendental functions.

- Teacher: Dr Azmat Hussain
- Teacher: Dr Adnan Khan
- Teacher: Dr Imran Qureshi
- Teacher: Dr Amer Rasheed
- Teacher: Dr Sultan Sial

- Teacher: Dr Imran Naeem
- Teacher: Dr Muhammad Usman

Symmetry methods for Differential Equations / Symmetry method, Conservation Laws and Exact Solutions for Differential Equations

- Teacher: Dr Imran Naeem

- Teacher: Dr Sultan Sial

- Teacher: Hira Nadeem
- Teacher: Dr. Ali Ashher Zaidi

- Teacher: Dr Haniya Azam
- Teacher: Qaisra Fazal
- Teacher: Hira Nadeem
- Teacher: Dr Imran Naeem
- Teacher: Dr. Ali Ashher Zaidi

- Teacher: Dr Haniya Azam
- Teacher: Dr Adnan Khan
- Teacher: Faiza Khan
- Teacher: Hira Nadeem
- Teacher: Dr Imran Qureshi
- Teacher: Dr Amer Rasheed
- Teacher: Dr Sultan Sial

The
laws of science and engineering are typically expressed in differential
equations, which are equations with derivatives in them. Understanding of differential equations and
their solutions is important in the sciences and engineering. This course deals with: First order
differential equations; modeling; second order linear equations; Damped motion
in mechanical and electrical systems; System of first order linear equations;
Eigenvalues and Eigen vector; Series solutions; Introduction to special
functions; Fourier series; Partial differential equations; separation of
variables and Sturm-Liouville problems.

- Teacher: Dr Imran Naeem

Eigen
value problems and Sturm-Liouville equations, special functions: Hyper
geometric equation, Bessel’s equation, Legendre’s equation, Systems of ordinary
differential equations, Well-posed initial value problem (i.e. existence,
uniqueness, continuation and continuous dependence); Special linear systems, Laplace
transform, Laplace transform method for solving ODEs, Applications

- Teacher: Dr Amer Rasheed

- Teacher: Dr Imran Naeem