Total Marks – 200
Paper I
Marks – 100
Part A

1. Political Theory
a. Western political thought: Plato, Aristotle, Machiavelli, Montesquieu, Hobbes, Locke,
Rousseau, Bentham, Mill, Marx, Lenin, Mao
b. Muslim political thought: Al-farabi, Al-Mawardi, Nizam-ul-Mulk Tusi, Al-Ghazali, Ibn-e-
Khaldun, Iqbal
Part B
2. The nature and emergence of modern state system, Islamic concept of state
3. political concepts: Sovereignty, law, liberty, equality, rights and duties
4. Political dynamics: Public opinion, propaganda, political parties, pressure groups
5. Political Institutions: Legislature, executive, judiciary, political elites, civil and military bureaucracy
6. Forms of government: Monarchy, democracy, dictatorship, unitary and federal, Presidential and
7. Totalitarianism: Fascism, communism
8. Local self-government: Theory and practice with special reference to Pakistan
Paper II
Marks – 100

Part A
1. Selected political systems: Nature and dynamics of major political institutions in USA, UK, France
and former Soviet Union
Part B
2. Political systems of developing countries: Turkey, Iran, India and China
3. Rise of Muslim nationalism in South Asia with special reference to the role of Sir Syed Ahmad
Khan, Iqbal and Quaid-e-Azam Mohammad Ali Jinnah
4. A comparative and critical analysis of the 1956, 1962, 1973 and 1985 Constitutions of Pakistan


Total Marks – 200
Paper I
Marks – 100

Candidates will be asked to attempt three questions from Section A and two questions from Section B
Section A
Modern Algebra
1. Groups, subgroups, languages, theorem, cyclic groups, normal sub-groups, quotient groups,
fundamental theorem of homomorphism. Isomorphism theorems of groups, inner
automorphosms. Conjugate elements, conjugate sub-groups, commutator sub-groups
2. Rings, sub rings, integral domains, quotient fields, isomorphism theorems, field extension and
finite fields
3. Vector spaces, linear independence, bases, dimensions of a finitely generated space, linear
transformations, matrices and their algebra. Reduction of matrices to their echelon form. Rank
and nullity of a linear transformation
4. Solution of a system of homogenous and non-homogenous linear equations. Properties of
determinants. Cayley-Hamilton theorem, Eigen values and eigenvectors. Reduction to canonical
forms, specially digitalization
Section B
1. Conic sections in Cartesian coordinates, Plane polar coordinates and their use to represent the
straight line and conic sections. Cartesian and spherical polar coordinates in three dimension.
The plane, the sphere, the ellipsoid, the paraboloid and the hyperboloid in Cartesian and
spherical polar coordinates
2. Vector equations for plane and for space-curves. The arc length. The osculating plane. The
tangent, normal and bi-normal. Curvature and torsion. Serre-Frenet’s formulae. Vector equations
for surfaces. The first and second fundamental forms. Normal, principal, Gaussian and mean
Paper II
Marks – 100

Candidates will be asked to attempt any three questions from Section A and two questions from Section
Section A
Calculus and Real Analysis
1. Real numbers, limits, continuity, differentiability, indefinite integration, mean value theorems.
Taylor’s theorems, indeterminate form. Asymptotes, curve tracing, definite integrals, functions of
several variables. Partial derivates. Maxima and minima. Jacobeans, double and triple integration
(Techniques only). Applications of Beta and Gamma functions. Areas and volumes. Riemann-
Stieltje’s integral. Improper integrals and their conditions of existence. Implicit function theorem.
Absolute and conditional convergence of series of real terms. Rearrangement of series, uniform
convergence of series
2. Metric spaces. Open and closed spheres. Closure, interior and exterior of a set
3. Sequence in metric space. Cauchy sequence, convergence of sequences, examples, complete
metric spaces, continuity in metric spaces. Properties of continuous functions
Section B
Complex analysis
Function of a complex variable, Demoiver’s theorem and its applications. Analytic functions, Cauchy’s
theorem. Cauchy’s integral formula, Taylor’s and Laurent’s series. Singularities. Cauchy residue theorem
and contour integration. Fourier series and Fourier transforms. Analytic continuation.


Total Marks – 100

1. Public administration: Its nature and scope, the role of public administration in a modern welfare
2. Major schools of thought in administration: Scientific Management Movement. Human relationists,
behavioral school, systemic theory
3. Bureaucracy: Concept of bureaucracy, theories of bureaucracy, ecology of bureaucracy,
bureaucracy of Pakistan as a change agent
4. Administrative leadership: Approaches to the study of leadership, forms of leadership, leadership
5. Administrative accountability: Internal and external controls, executive control, legislative control,
judicial control, Ombudsman, public opinion and pressure groups, problems of administrative
accountability in Pakistan
6. Planning: Types of plans, planning process, principles of planning, planning machinery, the
system of planning and programming in Pakistan. Planning machinery in Pakistan
7. Organization: Types of organization, theories of organization, principles of organization, the
organization of federal and provincial governments in Pakistan. Public corporations in Pakistan
8. Personnel administration: Nature and scope of personnel administration, personnel functions,
tools of personnel management, salient features of the system of Public Personnel Management
in Pakistan
9. Controlling and coordination: Forms of controls, control mechanism, the process of control,
principles of controlling, principles of coordination, machinery for coordination, problems of
coordination in public administration in Pakistan
10. Communication: Types of communication, communication channels, communication process,
principles of communication
11. Financial administration: Elements of financial administration, performance and programmed
budgeting, capital budget. Principles of budgeting, auditing and accounting.