Latest FPSC CSS Complete Syllabus Papers 2015-16 Full Subject Wise for Geology, Statistics, Pure Mathematics, Applied Mathematics, Chemistry, Physics Must Prepare Now
PAPER: GEOLOGY (100 MARKS)
Revised Scheme and Syllabus for CSS Competitive Examination-2016
Part- I (50-marks)
I. Introduction to Physical Geology
Introduction and scope of geology, its importance and relationship with other
sciences, Earth as a member of the solar system; its origin, age, composition and
internal structure, Introduction to rocks and mineral, Weathering and erosion,
Isostasy, Geological Time Scale.
II. Stratigraphy and Paleontology
Principles of stratigraphy; laws of superposition and faunal succession. Geological
time scale with divisions. Classification and nomenclature of stratigraphic un its:
lithostragraphic units, biostratigraphic units and chronostratgraphic units.
Introduction to fossils and their significance; modes of fossilization, Study of
morphology, range and broad classification of major invertebrate phyla; Introduction
to micro fossils; Introduction to Paleobotany; Introduction and classification of major
vertebrates; Introduction to micropaleontology
III. Mineralogy
Classification of minerals; Study of internal structure; polymorphism and
isomorphism; paragenesis; Physical and optical properties of the common silicate
and non-silicate mineral groups; Introduction to crystallography; elements of
symmetry, study; normal classes of crystallographic systems.
IV. Structural Geology and Tectonics
Stress-strain concepts; factors which control the mechanical behavior of materials;
Folds, Faults, Joints, Foliation: terminology, classification and relationship with
bedding; Lineation, Unconformity.
Plate tectonics theory; Geological evidences for continental drift; S ea-floor
spreading; Oceanic ridges; Continental rifts; Intra-oceanic islands; Hot spot and
Mantle plumes; Wilson Cycle; Tectonic framework of Pakistan.
V. Petrology and Petrography
Introduction, classification and description of sedimentary rocks; origin;
transportation and deposition of sediments; Texture of sedimentary rocks;
Sedimentary structures, their classification, morphology and significance;
Composition, origin, differentiation and evolution of magma; Classification of
igneous rocks; Mode of occurrences and types of extrusive rocks; Texture and
structure of igneous rocks; Introduction to metamorphism; Types of metamorphism;
Grades, zones and facies of metamorphism; Metamorphic diffusion and
differentiation; Metamorphism in relation to plate tectonics; Differentiation between
metamorphism and metasomatism;
Introduction to polarizing microscope; Optical properties of opaque and non-opaque
minerals in plane polarized light and under crossed nicol including metallic under
reflected light; Description of optical properties of common rock forming minerals.
Part- II (50-marks)
I. Introduction to Geophysics
Definition and relation of geophysics with other sciences; Classification and brief
description of various branches of geophysics such as seismology, geomagnetism,
geoelectricity, tectonophysics, gravimetry, geo-thermy and geodesy; Introduction to
various geophysical techniques for exploration of mineral deposits, oil and gas and
subsurface water and engineering works;
II. Sequence Stratigraphy
Introduction, history, concept and significance of sequence stratigraphy; Data
sources: seismic reflections, o u t c r o p s , w e l l l o g s , c o r e a n d s e i s m i c facies;
Sea level changes, their causes and effects; Accommodation, eustatic and relative
sea curve; Hierarchy of sequence stratigraphic elements; Types of sequences and
systems tracts.
III. Petroleum Geology
The nature and classification of petroleum hydrocarbons, their origin, migration and
accumulation; Source sediments, reservoir rocks, and trapping mechanism for oil
and gas; Prospecting and exploration of oil and gas; Reservoir characteristics, drive
mechanism, energy and pressure maintenance; Secondary and enhanced recovery;
Introduction to Sedimentary Basins of Pakistan
IV. Engineering and Environmental Geology
Rock and soil mechanics and its application in civil engineering; Rock mass
characteristics; Geotechnical studies of rocks and soils; Geological factors and
strength of rocks; Study of geological factors in relation to the construction of
buildings and foundations, roads, highways, tunnels, dams and bridges;
Application of geophysical methods for site investigation; Construction materials;
Mass movement, their causes and prevention.
Introduction to environmental geology; Management of natural resources; Global
climatic changes; Environmental controls for erosion, desertification and coastal
degradation; Geological hazards such as floods, landslides, earthquakes,
Tsunamis, volcanoes, glaciers and shoreline processes, their remedial measures;
Clean sources of energy; Industrial pollution, solid and liquid waste disposal,
Introduction to environmental impact assessment and initial environmental
examination.
V. Mineral and Energy Resources
Introduction of geological exploration/prospecting. Brief description of hydrocarbons,
coal, gemstones, copper, lead, zinc, iron, gold, chromite, manganese, salt,
gypsum, bauxite, sulphur, barite, fluorite, clays, phosphorite, building and dimension
stones, industrial rocks and m i n e r a l s , radioactive minerals and rocks with
special reference to economic mineral deposits in Pakistan.
Origin, occurrence, and depositional environments of coal; coal Constitution and
kinds of coals.Coal rank, grade and calorific value. Coal deposits of Pakistan with
reference to Thar Coal. Geothermal energy resources of Pakistan.
VI. Economic and Applied Geology
Metallic and Non-metallic mineral resources of Pakistan. Mineral-based industries.
Overview of Recodec Copper. Radioactive minerals and their occurrences in
Pakistan. Gemstones of Pakistan
Geology of Reservoirs, Dams .Highways and Tunnels. Major natural hazards and
their Impact on the environment with special reference to Pakistan.
PAPER: STATISTICS (100 MARKS)
Revised Scheme and Syllabus for CSS Competitive Examination-2016
Part – I (50 marks)
I. Descriptive Statistics
Definition, Importance and scope of Statistics, Descriptive and Inferential Statistics,
Presentation of the Data, Tables, Graphs and Charts: Stem-and leaf diagram, Box
and Whisker Plots. Measures of Central Tendency/location, Measures of
Dispersion/Variability: Measures of Skewness and Kurtosis.
II. Basic Probability
Basic Probability Concepts, Additive and Multiplicative laws of Probability, Joint and
Marginal Probabilities, Conditional Probability and Statistical Independence, Bayes’
rule. Concept of a Random Variable, Mathematical Expectations, Discrete and
Continuous Random Variables, Probability Distribution, Mean and Variance of a
discrete random variables.
III. Probability Distributions
Discrete and continuous Probability Distributions.Properties, applications of
Binomial, Poisson, Hyper-geometric, Normal Distribution and its properties, Standard
Normal Curve, Normal approximation to Binomial and Poisson distribution.
IV. Regression Analysis & Correlation Analysis
Concepts of Regression and Correlation and their application, Simple and Multiple
Linear Regression (upto three variables), Estimation of the Parameters, Method of
least square, Inference regarding regression parameters
Correlation, Correlation Coefficient, Properties of Correlation Coefficient, Inference
regarding correlation coefficient, Partial Correlation and Multiple Correlation (upto
three variables).
V. Non-Parametric Methods
Parametric versus nonparametric tests, when to use non-parametric procedures,
One-sample tests: Sign test, Wilcoxan signed ranks tests, Kolmogrov-Smirnov test,
run test.
Tests for two related samples: sign test, run tests, chi-square test, Test for two
independent samples: Mann-Whitney test, Kolmogrov-Smirnov test.
Part – II (50 marks)
I. Sampling & Sampling Distributions
Population and Sample, Advantages of Sampling, Sampling Design, Probability
&Non-Probability Sampling techniques.Brief Concepts of Simple Random, Stratified,
Systematic, Cluster, Multiple and Multistage Sampling. Purposive, Quota Sampling,
Convenience & Accidental Sampling.
Sampling with and without replacement, Application of Central Limit Theorem in
Sampling, Sampling Distribution of Mean, difference between two Means,
Proportion, difference between two Proportion and Variance.
II. Statistical Inferences
Estimation: Point Estimation, Properties of a good Estimator.Interval Estimation.
Interval Estimation of Population mean. Large and small sample confidence intervals
for Population Mean.
Hypothesis Testing: Types of errors. Hypothesis Testing for Population Mean.
Inferences for Two Population Means. Inferences for the Mean of Two Normal
Populations using Independent Samples (variances are assumed Equal). Inference
for Two Populations Mean using Paired Samples.Inferences for Population
Proportions. Confidence Intervals and hypothesis testing for Population Proportion.
Inferences for Two Populations Proportions using Independent Samples, Estimation
of sample size
Analysis of categorized data.Goodness of fit tests.Contingency tables. Test of
independence in contingency tables.
III. Design of Experiments
One-way and Two-way Analysis of Variance, Design of Experiments, Concepts of
Treatment, Replication, Blocking, Experimental Units and Experimental Error, Basic
Principles of Design of Experiments, Description, Layout and Statistical Analysis of
Completely Randomized Design (CRD), Randomized Complete Block Design
(RCBD), Multiple Comparison tests (LSD test).
IV. Population Analysis & Vital Statistics
Population and Demographic Methods, Sources of Demographic data, Basic
Demographic Measures, Sex Ratio, Child Women Ratio, Vital Index, Crude and
Specific Birth and Death Rates, Total Fertility and Net Reproduction Rates.
Official Statistics: Statistical Systems in Pakistan, Functions of Statistics Division and
Bureaus of Statistics: The National Income, Gross Domestic Product, Saving and
Wealth, Index Numbers.
PAPER: PURE MATHEMATICS (100 MARKS)
Section-A (40- marks)
I. Modern Algebra
Group, subgroups, Lagranges theorem, Cyclic groups, Normal subgroups, Quotient
groups. Fundamental theorem of homomorphism. Isomorphism theorems of groups,
Inner automorphisms. Conjugate elements, conjugate subgroups. Commutator
subgroups.
Ring, Subrings, Integral domains, Quotient fields, Isomorphism theorems, Field
extension and finite fields.
Vector spaces, Linear independence, Bases, Dimension 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. Matrices and their
algebra. Reduction of matrices to their echelon form. Rank and nullity of a linear
transformation.
Solution of a system of homogeneous and non-homogeneous linear equations.
Properties of determinants.
Section-B (40- marks)
II. Calculus & Analytic Geometry
Real Numbers. Limits. Continuity. Differentiability. Indefinite integration. Mean value
theorems. Taylor’s theorem, Indeterminate forms. Asymptotes. Curve tracing.
Definite integrals. Functions of several variables. Partial derivatives. Maxima and
minima. Jacobnians, 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 existences. Im plicit function theorem.
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 dimensions. The plane, the sphere, the ellipsoid, the paraboloid
and the hyperboloid in Cartesian and spherical polar coordinates.
Section-C (20-marks)
III. Complex Variables
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.
CSS Applied Mathematics Syllabus PAPER: APPLIED MATHEMATICS (100 MARKS)
I. Vector Calculus (10%)
Vector algebra; scalar and vector products of vectors; gradient divergence and curl of
a vector; line, surface and volume integrals; Green’s, Stokes’ and Gauss theorems.
II. Statics (10%)
Composition and resolution of forces; parallel forces and couples; equilibrium of a
system of coplanar forces; centre of mass of a system of particles and rigid bodies;
equilibrium of forces in three dimensions.
III. Dynamics (10%)
Motion in a straight line with constant and variable acceleration; simple harmonic
motion; conservative forces and principles of energy.
Tangential, normal, radial and transverse components of velocity and
acceleration; motion under central forces; planetary orbits; Kepler laws;
IV. Ordinary differential equations (20%)
Equations of first order; separable equations, exact equations; first order linear
equations; orthogonal trajectories; nonlinear equations reducible to linear
equations, Bernoulli and Riccati equations.
Equations with constant coefficients; homogeneous and inhomogeneous
equations; Cauchy-Euler equations; variation of parameters.
Ordinary and singular points of a differential equation; solution in series; Bessel
and Legendre equations; properties of the Bessel functions and Legendre
polynomials.
V. Fourier series and partial differential equations (20%)
Trigonometric Fourier series; sine and cosine series; Bessel inequality;
summation of infinite series; convergence of the Fourier series.
Partial differential equations of first order; classification of partial differential
equations of second order; boundary value problems; solution by the method of
separation of variables; problems associated with Laplace equation, wave
equation and the heat equation in Cartesian coordinates.
VI. Numerical Methods (30%)
Solution of nonlinear equations by bisection, secant and Newton-Raphson
methods; the fixed- point iterative method; order of convergence of a method.
Solution of a system of linear equations; diagonally dominant systems; the Jacobi
and Gauss-Seidel methods.
Numerical differentiation and integration; trapezoidal rule, Simpson’s rules,
Gaussian integration formulas.
Numerical solution of an ordinary differential equation; Euler and modified Euler
methods; Runge- Kutta methods.
PAPER: CHEMISTRY (200 MARKS)
Revised Scheme and Syllabus for CSS Competitive Examination-2016
CSS Chemistry Syllabus Paper-I (100 Marks)
I. Atomic Structure and Quantum Chemistry
Electromagnetic spectrum, photoelectric effect, Bohr’s atomic model, wave and
particle nature of matter, de Broglie’s equation, Heisenberg’s uncertainty principle,
wave functions and Born interpretation of wave functions, probability density, Eigen
functions and Eigen values, Hamiltonian operator, Schrödinger wave equation and
its solution for particle in one and three dimensional boxes.
II. Electrochemistry
Ions in solution, measurement of conductance and Kohlrausch’s law, mobility of ions
and transport number, conductometric titrations, Debye-Hückel theory and activity
coefficient, determination of activities, Redox reactions, spontaneous reactions,
electrochemical cells, standard electrode potentials, liquid junction potential,
electrochemical series, Nernst’s equation, measurement of pH, electrolytic cells,
potentiometry, reference and indicator electrodes, fuel cells, corrosion and its
prevention.
III. Thermodynamics
Equation of states, ideal and real gases, the van der Waals equation for real gases,
critical phenomena and critical constants, four laws of thermodynamics and their
applications, thermochemistry, calorimetry, heat capacities and their dependence on
temperature, pressure and volume, reversible and non-reversible processes,
spontaneous and non-spontaneous processes, Hess’s law, The Born-Haber cycle,
relations of entropy and Gibbs free energy with equilibrium constant, Gibbs
Helmholtz equation, fugacity and activity.
IV. Chemical Kinetics
The rate and molecularity of reactions, Factors affecting rate of a chemical reaction,
zero, first, second and third order reactions with same initial concentrations, half -lives of reactions, experimental techniques for rate determination and methods for
determination of order of reaction (integration, half-life, initial rate and graphical
methods), collision theory, transition state theory, Arrhenius equation and rate
equations of complex reactions.
V. Surface Chemistry and Catalysis
Properties of liquids, physical and chemical properties of surface, determination of
surface area. Adsorption and absorption; physical adsorption and chemisorption,
adsorption isotherms, Langmuir adsorption isotherm and Fruendlich isotherm.
Colloids; properties, classification and preparation of colloidal systems. Surfactants,
Phase rule; Gibbs equation of phase rule, one component systems, two component
systems and their examples, Catalysis; homogeneous and heterogeneous catalysis,
acid-base and enzyme catalysis.
VI. Fundamentals of Chemometrics
Sampling, significant figures, stoichiometric calculations, measurement errors,
analysis of variance (ANOVA), arithmetic mean, median, mode, standard
deviation/relative standard deviation, confidence limits, Gaussian distribution, least
square method, Statistical tests.
VII. Separation Methods
Solvent extraction; theory of solvent extraction; solvent extraction of metals,
analytical separations, multiple batch extraction and counter current distribution.
Chromatography; theory of chromatography, classification and overview of
chromatographic techniques (paper, thin layer, column and ion exchange
chromatographies). Principle of electrophoresis and its application as separation and
characterization of proteins.
VIII. Basic Inorganic Chemistry
Types of chemical bonding, ionic and covalent bonding, localized bond approach,
theories of chemical bonding, valance bond theory (VBT), hybridization and
resonance, prediction of molecular shapes using valence shell electron pair
repulsion (VSEPR) model, Molecular orbital theory (MOT) applied to diatomic
molecules, delocalized approach to bonding, bonding in electron deficient
compounds, hydrogen bonding, Physical and chemical properties of p-block
elements with emphasis on oxygen, carbon, chlorine, silicon, nitrogen, phosphorus
and some of their representative compounds.
IX. Acids and Bases
Brief concepts of chemical equilibrium, acid–base theories including soft and hard
acid and base (SHAB) concept, relative strength of acids and bases, significance of
pH, pKa, pKb and buffer solutions. Theory of indicators, solubility, solubility product,
common ion effect and their industrial applications.
X. Chemistry of d and f-block elements
General characteristics of d-block elements, historical back ground of coordination
chemistry, nomenclature and structure of coordination complexes with coordination
number 2-10, Chelates and chelate effect. Theories of coordination complexes;
Werner’s theory, Valence bond theory (VBT), Crystal field theory (CFT) and
Molecular orbital theory (MOT). Jahn-Teller theorem, magnetic properties, spectral
properties, isomerism, stereochemistry and stability constants of coordination
complexes.
General characteristics of Lanthanides, occurrence, extraction and general principles
of separation, electronic structure and position in the periodic table, lanthanide
contraction, oxidation states, spectral and magnetic properties and uses. General
characteristics of actinides, electronic structure, oxidation state and position in the
periodic table, half-life and decay law.
CSS Chemistry Syllabus Paper-II (100 Marks)
I. Basic Concepts of Organic Chemistry
Bonding and orbital hybridization, Localized and delocalized bonding, Inductive
effect, Dipole moment, Resonance, Hyperconjugation.
II. Saturated and Unsaturated Hydrocarbon
Nomenclature, Physical properties, Preparation and reactions of alkanes, alkenes
and alkynes.
III. Chemistry of Aromatic Compounds
Benzene structure, Aromaticity, Mechanism of electrophilic substitution reaction,
Activating and deactivating substituents, Effect of substituents on orientation and
reactivity.
IV. Chemistry of Functional Groups
Preparation and properties of alcohols, phenols, ethers, and amines with focus on
reaction mechanism and applications. Preparation and reactions of alkyl halides.
Synthetic applications of Grignard reagent. Carbonyl compounds, preparations and
reaction mechanism of aldehydes and ketones and their applications. Carboxylic
acids and their derivatives, acidity of carboxylic acids and effect of substituents on
their acidity, preparation and reactions of carboxylic acids and their derivatives
including acid halides, acid anhydrides, esters and amides.
V. Aliphatic nucleophilic substitution and elimination reactions
Mechanism of nucleophilic substitution reactions. Elimination reactions, Zaitsev rule
and Hofmann rule. Competition between Substitution and elimination reactions.
VI. Stereochemistry
Molecular chirality.Types of stereoisomers. RS and EZ notation. Optical activity,
Stereoselectivity and stereospecificity. Resolution of racemic mixtures.
VII. Organic Spectroscopy
Theory, Principle, instrumentation and applications of UV/Visible, 1H NMR, IR and
Mass spectroscopic techniques.
VIII. Biomolecules
Carbohydrates; Monosaccharides, oligosaccharides and polysaccharides, biological
functions of starch, glycogen, cellulose, and cell wall polysaccharides.
Lipids; Classification and biological importance of lipids. Significance of lipids in
biological membranes and transport mechanism.
Amino Acids; Chemistry and classification of amino acids. Physical and chemical
properties. Biological significance.
Proteins; Classification. Properties and biological significance.Primary, secondary
tertiary and quaternary structures.
Nucleic Acids; Chemical composition of nucleic acids. Structure and biological
significance of nucleic acids.
Enzymes; Enzyme-substrate interactions and nature of active site, mechanism of
enzyme action, kinetics of single substrate reactions, enzyme inhibition, regulatory
enzymes and allosteric enzymes.
IX. Metabolism
Digestion; absorption and transport of proteins, carbohydrates, lipids and nucleic
acids. Glycolysis; citric acid cycle, gluconeogenesis, glycogenesis, glycogenolysis
and photosynthesis.
Biosynthesis of triglycerides, phosphides, steroids and bile acids and ketone bodies.
Biochemical reaction of amino acids: decarboxylation, deamination, transamination
and transmethylation, etc., urea cycle, creatine and uric acid synthesis.
Catabolism of nucleosides, DNA polymerases and other enzymes involves in
metabolism.
X. Chemical Industries
Manufacturing and processing of sugar, cement, glass, paper, fertilizers, soap and
detergents.
PAPER: PHYSICS (200 MARKS)
Revised Scheme and Syllabus for CSS Competitive Examination-2016
Physics Paper 1 Syllabus (Marks-100)
I. Mechanics
Vectors—Dots, Cross and triple products, Gradient, divergence and applications.
Newtonian laws of motion; calculus based approach to kinematics, forces and
dynamics, conservation law of energy; conservation of linear and angular
momentum; Dynamics of rigid body; spin and precession; gyroscope;
Gravitation; planetary motion and satellites; Kepler’s laws; centripetal forces
Special theory of relativity. Mischelson—Morley experiment and Einstein’s
postulates; Lorentz transformation; time dilation and length contraction;
equivalence of mass and energy.
II. Fluid Mechanics
Surface tension; Viscosity; Elasticity; fluid motion and Bernoulli’s theorem.
III. Waves and Oscillation
Free oscillation with one and two degrees of freedom; forced and damped
oscillations and phenomenon of resonance. Simple harmonic motion. Traveling
waves and transmission of energy; Phase and Group velocity; standing waves.
Basics of sound waves.
Reflection, Refraction, Interference, Diffraction and Polarization of waves;
interfero-meter and Newton’s rings; Diffraction Gratings and their resolving power;
spectro-meters. Electromagnetic wave equation; normal and anamolous
dispersion; coherence, lasers and applications.
IV. Heat and Thermodynamics
Perfect gas and Van der Waals equation; Three Laws of
Thermodynamics, internal energy, temperature, entropy. Thermal properties of
Simple system production and measurement of low temperatures; kinetic
theory of gases; Maxwellian distribution of molecular velocities; Brownian
motion; Transport phenomena. Classical Maxwell-Boltzmann Statistics and its
application; Quantum Bose—Einstein and Fermi—Dirac Statistics.
Physics Paper 2 Syllabus (Marks – 100)
I. Electricity and Magnetism
Electric field due to point charges, Gauss’ law Electric potential and Poisson and
Laplace’s equation Dielectric medium and Polarization; Capacitance;
Moving charges and resulting magnetic field; Ampere’s law; Vector potential;
Magnetic properties of matter; Transient current; Faraday’s law of
electromagnetic induction; Alternating current and LRO circuit. Maxwell’s
equations; Poynting theorem and Poynting Vector. Maxwell’s equations in integral
and differential form.
II. Modern and Quantum Physics
Operators and quantum states, observables, time dependent and independent
Schrodinger equation, angular momentum, spin-1/2 particle in a magnetic field,
wave mechanics, particle in a box, tunneling, one-dimensional harmonic oscillator,
Heisenber’s uncertainty relationship and indeterminacy based on commutation
properties of operators, Bohr theory and quantum numbers including electron
spin; Pauli’s exclusion principle; Spectra of simple systems with one or two
valence electrons. Photo electric effect Compton scattering; pair
production; Lande’s g factor and Zeeman effect. Raman effect; Waves and
particles and De Broglie’s Hypothesis.
III. Solid State Physics
Crystal lattice and structure, Bravais lattice, free electron model, Band theory and
electron in a periodic potential, Fermi energy and density of states, n and p type
semiconductors, physics of the transistor and MOSFET, dielectric properties,
magnetic properties and origin of magnetism.
IV. Nuclear Physics
Structure of Nuclei; Radioactivity, and decay. Methods of detection, Mass
Sepectrometer. Accelerators. Phenomenon of fission; reactor and nuclear
power, nuclear fusion and its application, Elementary particles and their
properties.
Latest FPSC CSS Complete Syllabus Papers 2015-16 Full Subject Wise for Geology, Statistics, Pure Mathematics, Applied Mathematics, Chemistry, Physics Must Prepare Now