Real Analysis (Syed Amanat Shah)
It is that branch of Mathematics which deals with the minute study of real number system, limit & continuity of functions. Calculus is a very important subject of Mathematics & is extensively applicable in many fields of Mathematics whether pure or applied.
Algebra-I (Mr. Qaiser Iqbal)
This course is designed for the essential topics of linear algebra & introduction to Group Theory. The linear algebra is useful for students to be trained for many mathematics courses at advance levels, therfore this part of the course contains the central theme of finite dimensional real vector spaces & their linear transformation. The second part of this course is the basic group theory which is an important part of algebra & it has many applications in various scientific disciplines. It includes the concept of a group with examples & longranges theorems & its applications.
Complex Analysis (Mr. Nadeem Raza)
In Mathematics, we are to face many problems which cannot be treated within the domain of real number system. In such circumstances the branch complex analysis. deals with the problem. It has many applications in Physics & Engineering. This course contains integrations by contours, conformal mapping & Functions of special kind
Topology (Dr. Gulzar Ali Khan)
This course deals with the topological properties of figures. With the help of this we can study complicated geometrical figures by decomposing them into simplest geometrical fragments. It is used in geography, Physics & in studying different crystal structures.
Programming in C: (Mr. Asad Ullah)
This course is designed to train students in computational Mathematics. It contains Basic & Fortron as scientific languages for programming which give skill & wide vision to the students in business, education & application.
(M.Sc Part-II)
Algebra-II (Dr. Zafar Ali)
The theory of groups is a basic and fundamental part of algebra. This theory has its uses in various branches of scientific knowledge. In particular, its role & applications in Engineering & Physics are notable. Apart from the basic & essential part of this theory, it includes some advanced topics e.g. the theory of sylow & its applications, the classes of Nilpotent & soluble groups, simple groups & presentation of groups.
Functional Analysis (Dr. Gulzar Ali Khan)
This course is comparatively of recent origin which provides a common language for various branches of mathematics. For example, its techniques in the theory of operators on Hilbert spaces etc., have important applications in Quantum Mechanics. Its methods & results are also used in Engineering, theoretical physics, mathematical physics, applied analysis and other areas of mathematics. The course includes topics on Normed Linear spaces, banech spaces, Geometry of Hiebert space and Finite Dimensional Spectral Theory.
Mathematical Statistics (Dr. Islam Noor)
This course deals with probability & Mathematical Statistics. Different distributions are used to handle the probabilistic type problems. Topics like correlation &Regression Analysis are also studied to establish the linear relationship among variable quantities.
Numerical Analysis (Mr. Naseer Ahmad)
This course focuses on the methods and techniques of obtaining approximations for solutions of different mathematical problems. It is used in almost every branch of sciences and social sciences. In particular, this subject plays a very important role in studying behaviors of different living things.
Measure Theory & Integration: (S. Amanat Shah)
In this subject we study the different measures of more general sets in more general spaces. Apart from intervals & the real space. It also deals with different behaviors of proper & improper integrals of all bounded & unbounded functions on differents sets .
Viva-Voce
Apart from the above mentioned courses each student is required to appear in viva voce examination.
