Syllabus
Department of Statistics
Four Year B.Sc Honours Course
Effective from the
Session : 2009–2010
First Year
Course Code: 3653, Course Title: Introductory Statistics Marks 100, 4 Cred-
its, 60 Lectures
Statistics- Definition, scope:
History of statistics, its definition, nature and characteristics, Method of statistics, Scope and
application of statistics, Abuse of statistics, Sources of statistical data, Primary and secondary sources
of data.
Processing of Data: Measurement of scales; Variables, Attributes, Classification, Characteristic and
basis of classification, Array formation. Tabulation, Different types of tables, Frequency distribution.
Presentation Data: Graphical presentation of data, Details of different types of graphs and charts
with their relative merits and demerits.
Characteristics of statistical Data: Measures of Location, Dispersion, Skewness, Kurtosis and their
properties, Moments, Related theorems with their proofs.
Exploratory Data Analysis: Stem-and-leaf plot using the right number of stems, Box-and-Whisper
plots.
Relationship between Variables: Bivariate data, Scattered diagram, Simple correlation, Rank
correlation, Correlation ratio, Simple regression analysis. Standard error of estimators of regression
coefficients & their properties, Fitting of regression lines.
Association of attributes: Concepts of independence, association and disassociation.
3653
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Books Recommended:
i) Islam, M.N. : An introduction to Statistics and
Probability (3rd Ed.) Book World.
ii) Simpson, G & Kapka, F. : Basic Statistics.
iii) Mostafa, M.G. : Method of Statistics
iv) Kendal, M.G. : Advanced Theory of Statistics,
Vol – 1& 2
v) Hoel, P.G. : Introduction Statistics 4th Edition
Wiley and Sons
vi) Anderson, R.L. and Bancraft, T.A.: Statistical Theory in Research
vii) Draper & Smith : Applied Regression Analysis, Wiley &
Sons.
Course Code: 3654, Course Title: Introductory Probability Marks 100, 4 Credits, 60
Lectures
Elements of set theory, Experiment, Random Experiment, Sample Space, Event Space, Union and
Intersection of Events, Different types of events.
Basic concepts of probability: Meaning of probability, Scope of probability, Different approaches of
defining probability. Multiplication rule, permutation & combination. Conditional probability,
Theorems on conditional probability. Theorem of total probabilities, Bayes theorem and its uses and
importance in statistics.
Random Variables: Discrete and continuous random variables, probability mass function,
probability density function. Function of random variables and its distribution, joint distribution,
marginal and conditional distribution, independence of random variables, mathematical expectation,
expectations of sum and products of random variables, conditional expectation and conditional
variance. Moments and moment generating functions, Characteristics function, Cumulants and
cumulant generating functions, Relation between moments and cumulants.
Detail study of Bernoulli, Bionomial and Poisson distribution.
Books Recommended:
(i) Islam M. N. : An Introduction to Statistics and
Probability ( 3rd Ed.) Book World.
(ii) Mosteller, Rourket, : Probability with Statistical Applications.
(iii) Parzen, E : Modern Probability and its Application, Wiley & Sons.
(iv) Roy, M.K. : Fundamentals of Probability and
Probability Distributions.
(v) Cramer, H : The Elements of Probability, Wiley and
Sons
(vi) Hoq. S.
: Probability: An Introduction.
(vii) Ross : A first Course in Probability, Collier
- Mc. Millan.
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Course Code: 3655, Course Title: Linear Algebra Marks 100, 4 Credits, 60 Lectures
Vector set: Length angle between two vectors of normalized vectors, Unit vector sets, linearly
dependent and independent vectors Orthogonal vectors, Gram- Schmidt orthogonalization process,
Normalization & sweep- out process, vector space & Sub- space and their rank & basis, sub-set &
Superset of vectors and related theorems.
Determinant and matrix : Distinction between square matrix and determinant. Evaluation of n×n
determinants & their properties and their uses in statistics. Different types of matrices; definitions
with examples, matrix operations, rank and elementary transformation of matrices, related theorems
of ranks, trace of a matrix, its properties with proofs.
Usual inverse of matrices and their uses in statistics. Generalized inverses & Kronecker product of
matrices and their properties and uses. System of linear equations: homogeneous and
nonhomegeneous types of linear equations, consistent and inconsistent, unique solutions, solution of
such equations. Quadratic forms, Canonical forms, Latent roots & vectors and their related theorems
and uses in statistics, orthogonal matrices, Idempotent matrices, patterned matrices etc and their
properties. Vector & matrix differentiations and their application in statistics.
Books Recommended:
(i) Santirarayan : A Textbook of Matrices.
(ii) Agarwal, D. : Advanced Integral Calculus.
(iii) Scrale, S.R : Linear Models.
(iv) Rao, C.R. & Mitra :Generalized Inverses and its Application.
(v) Ali, M. I : Matrix Algebra
(vi) Abdur Rahman : College Linear Algebra.
Course Code: 3651, Course Title: Lab-1 (Descriptive Statistics and Probability distributions)
Marks 50, 2
Credits, 30 Lectures
Condensation and tabulation of data. Frequency distribution. Graphical representation of data.
Measures of location and dispersion, Calculation of moments, Measures of Skewness and Kurtosis.
Simple correlation coefficient and fitting of regression lines. Rank correlation. Fitting of Binomial and
Poisson distribution.
Course Code: 3652, Course Title: Lab-2 (Linear Algebra ) Marks 50, 2 Credits, 30 Lectures
Vector: Rank basis, dimension & orthogonal vectors by the Gram- Schmidt orthogonalization
process, orthonormal vectors, linear dependence and independence of vectors etc.
Linear Algebra: Rank of a matrix, transpose, Determinant inversion, Trace Solutions of simultaneous
Course Code: 6373, Course Title: Fundamentals of Mathematics Marks 100, 4 Credits, 60
Lectures
Real Number System: Field and order properties, Natural numbers, Integers and rational
numbers, Absolute value and their properties, Basic inequalities.
Complex Number System: Field of Complex numbers, De Moivre's theorem and its applications.
Theory of equations: Relations between roots and coefficients, Symmetric functions of roots, Sum of the
powers of roots, Synthetic division, Des Cartes’ rule of signs, Multiplicity of roots, Transformation of
equations.
Matrices and Determinants:, Notion of matrix. Types of matrices. Algebra of matrices. Determinant
function and its properties. Minors, Cofactors, expansion and evaluation of determinants. Elementary row
and column operations and row-reduced echelon matrices. Invertible matrices. Diagonal, triangular and
symmetric matrices.
System of Linear Equations: System of linear equations (homogeneous and non-homogeneous ) and
their solutions. Gaussian elimination, Application of matrices and determinants for solving system of
linear equations. Applications of system of equations in real life problems.
Vector Spaces: : Euclidean n-space. Real vector spaces. Subspaces. Linear combination of vectors.
Linear dependence of vectors. Basis and dimension. Linear transformations. Matrix representation
of linear transformation. Kernel and image. Eigenvalues and eigenvectors.
Two-dimensional Geometry: Transformation of coordinates, Pair of straight lines (homogeneous second
degree equations, general second degree equations representing pair of straight lines, angle between pair
of straight lines, bisectors of angle between pair of straight lines), General equations of second degree
(reduction to standard forms, identifications, properties and tracing of conics).
Three-dimensional Geometry: Three-dimensional coordinates, Distance, Direction cosines and direction
ratios. Planes and straight lines. Vectors in plane and space. Algebra of vectors. Scalar and vector
product. Vector equations of straight lines and planes.
Evaluation: Final examination (Theory, 4 hours): 100 marks.
Ten questions will be set, of which any six are to be answered.
Books Recommended :
1. S. Bernard & J M Child- Higher algebra.
2. Howard Anton & Chris Rorres – Elementary Linear Algebra with Application.
3. Khosh Mohammad- Analytic Geometry and Vector Analysis.
4. Md. Abdur Rahman – Linear Algebra.
Course Code: 6374, Course Title: Calculus-I Marks 50, 2 Credits, 30 Lectures
Functions & their graphs : Polynomial and rational functions, logarithmic and exponential functions,
trigonometric functions & their inverses, hyperbolic functions & their inverses, combinations of such
functions.
Limit and continuity: Definitions and basic theorems on limit and continuity. Limit at infinity & infinite
limits, Computation of limits.
Differentiation: Tangent lines and rates of change. Definition of derivative. One-sided derivatives. Rules
of differentiation . Successive differentiation. Leibnitz's theorem. Related rates. Linear approximations
and differentials.
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Mean value theorem.
Maximum and minimum values of functions.
Concavity and points of inflection. Optimization problems.
Integration: Antiderivatives and indefinite integrals. Techniques of integration. Definite integration
using antiderivatives. Fundamental theorems of calculus. Basic properties of integration. Integration by
reduction.
Applications of Integration: Arc length. Plane areas. Surfaces of revolution. Volumes of solids of
revolution. Volumes by cylindrical shells. Volumes by cross sections.
Approximation and Series: Taylor polynomials and series. Convergence of series. Taylor's series.
Taylor's theorem and remainders. Differentiation and integration of series.
Evaluation: Final exam (Theory, 3 hours): 50 marks.
Six questions will be set, of which any four are to be answered.
Books Recommended:
1. Howard Anton -Calculus (7th and forward editions).
2. E.W. Swokowski - Calculus with Analytic Geometry.
3. Md. A Matin & B Chakraboty, - Differential Calculus.
Course Code: 6223, Course Title: Principles of Economics Marks 100, 4 Credits,
60 Lectures
1. Fundamentals of Economics: Definition, Nature and Scope of Economics, Scarcity of
Resources, Various forms of Economic Organization, Three Fundamental Problems of
Economics, Production Possibility Frontier, Opportunity Cost, Efficiency and Equity.
2. Supply and Demand: Demand and Quantity Demanded, Demand Schedule, Demand Curve,
Supply and Quantity Supplied, Supply Schedule, Supply Curve, Equilibrium of Supply and
Demand, Movement along the Supply and Demand Curve and Shift of Supply and Demand
Curve and Its Effects on Equilibrium Price and Quantity. Elasticity of Supply and Demand;
Determinants of Elasticity of Demand.
3. The Theory of Consumer Behavior: Total and Marginal Utility; Law of Diminish-
ing Marginal Utility, Equi-Marginal Utility; Consumer Surplus.
4. Production and Cost: Production Function and Technology; Production with One Variable
Input; Production with Two Variable Inputs; Returns to Scale; Costs in the Short-run; Costs
in the Long-run.
5. Market Analysis:
A. Perfect Competition: Characteristics of Perfect Competition; Average and Marginal
Revenue; Individual and Market Supply; Short-run equilibrium of a competitive firm
Long run Equilibrium under Perfect Competition.
B. Monopoly: Average and Marginal Revenue; Supply Curve of the Monopolist; Perfect
Competition and Monopoly Compared;
6. Overview of Macro Economics: Objective and Instruments of Macroeconomics, National
Income Accounting, Gross Domestic Product, Problem of Double Counting, Net Domestic
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Product, Gross National Product, From GDP to Disposable Income, Net Economic Welfare
(NEW).
7. International Trade: Domestic Vs. International Trade-Balance of Trade Vs. Balance of
Payment-Trend of Changes in International Trade of Bangladesh. Free Trade Vs. Protection,
Comparative Advantage Theory.
8. Growth and Development: Economic Development and Economic Growth, Measurement of
Economic Development, Obstacles to Economic Development.
9. Money: Definition and Functions of Money-Importance of Money in Modern Economy-
Different Concepts of Money (M1, M2, M3)-Value of Money. Concept, Causes and Effects
of Inflation and Deflation.
10. Government Revenue and Expenditure: Difference between Public Sector and Private
Sector finance, Different Sources of Govt. Revenues, Taxation and Different Kinds of Taxes,
Definition of Revenue Budget, Development Budget, Revenue Budget Vs. Development
Budget, Surplus, Deficit and Balanced Budget.
Books Recommended:
1. N. Gregory Mankiw. Principles of Economics. Any Late Edition. South Western College.
2. Michael Parkin. Economics. Any Late Edition. Prentice and Hall.
3. Karl Case and Ray Fair. Principles of Economics. Any Late Edition. Prentice and Hall.
4. Paul Samuelson and William Nordhaus. Economics. Any Late Edition. McGraw Hill.
Course Code: 6224, Course Title: Bangladesh Economy Marks 50, 2 Credits, 30
Lectures
1.Economic Development: Development and underdevelopment- a historical analysis; causes of
economic backwardness; determinants of development; features of Bangladesh economy; causes of
low per capita income; measures for improving standard of living; social and economic infrastructure
of Bangladesh Economy.
2.Demographic Structure of the economy: Size and composition of the population, density and
regional distribution of population; trend of population growth; population policy; education and
manpower training; population control and economic development.
3.National Income: The size and composition of the GDP and GNP at constant and current prices,
sectoral contribution to the GDP and the pattern of structural changes; The size and composition of
the rural sector, off-farm and on-farm income sources in rural areas; pattern of income distribution
and magnitude of poverty.
4.Agriculture: Importance and role of agriculture in the economy of Bangladesh; role of agriculture
as a basic for industrialization; problems of agriculture; components of agriculture- crops, forestry;
fishery and livestock; self-sufficiency in food; relative efficiency of large and small scale holding;
modernization of agriculture, land reforms and agricultural marketing; agricultural credit.
5. Industry: Size and composition of industrial sector; small versus large-scale industries; private
versus public sectors; problems prospects of private entrepreneurship; problems, prospects of
nationalized industries;
sources of financing for industrial development; industrial development policy.
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6.Planning in Bangladesh: Objectives strategies, sectoral allocation and achievements; Annual
Development Plan; Five year plans.
Books Recommended:
1. Khan A.R. and Mahbub Hossain : Strategy of Development in Bangladesh
2. Abu Abdullah : Land Reform and Agrarian Change in Bangladesh, BIDS
3. Saha K. : Economics of Rural Bangladesh, BIDS
4. Abul Barkhat : Political Economy of Khasland
5. Government of Bangladesh : First, Second, Third and fourth five year plans
6. Musharraf Hussain : Agriculture in Bangladesh
7. Report of the Task Force : Bangladesh Development Strategies for the 1990's UPL, Dhaka, 1991
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