Download Statistics-2nd Year

NATIONAL UNIVERSITY
Syllabus
Department of Statistics
Four Year B. Sc. Honours Course
Effective from the session: 2009–2010
National University
Subject: Statistics
Syllabus for Four Year B.Sc Honours Course
Effective from the Session: 2009-20 10
Year wise course and marks distribution
Socond Year (Honours)
Subject Code
7375
Subject Title
Numerical Mathematics
Sampling Technique
Lab 1 Numerical Mathematics
Lab 2 Sampling technique
Probability Distribution
Viva Voce
Agricultural Economics
Money, Banking and Public Finance
Calculas-II
Math Lab (Practical)
9999
English (Compulsory)
3663
3664
3665
3666
3667
3696
7228
7241
7373
Marks
100
100
50
50
100
50
50
100
100
50
100
Credits
4
4
2
2
4
2
2
4
4
2
Non-Credit
Marks:
100
Course Code
3663
Course Title:
Numerical Mathematics
Credits:
4
Class Hours: 60
Exam Duration: 4
Hours
Differences of a polynomial, Finite difference operator. Factorial notation. Difference
equations. Newton’s forward and backward Interpolation formula. Central difference
formula. Gauss, Stirling’s and Bessel’s, Lagrange’s interpolation formulae. Interpolation
with unequal interval of the argument. Inverse interpolation. The accuracy of the
interpolation formulae, Numerical differentiation. Numerical Integration: General
quadrature formula. Numerical integration by different formulae. The accuracy of
quadrature formula. Numerical integration for unequal intervals of the arguments.
Stirling’s formula for N!. Numerical solution of equations by various methods,
convergence of these methods and their inherent errors. Simultaneous equations in
several unknowns. Double interpolation. Function of two variables. Double interpolation
by applying single interpolation formula.
Books Recommended:
i) James B.Scasborough
ii) Freeman, H.
iii) Mallick, S .A
iv) Hilderbrand
: Numerical Mathematical Analysis
: Finite Diferences for Actuarial Statisticw.
: Numerical Mathematics (in English) Shankhik Ganit
(in Bangla)
: Introduction to Numerical Analysis
Course Code
3664
Marks: 100
Course Title:
Sampling Technique
Credits: 4
Class Hours: 60
Exam Duration: 4
Hours
Introduction: Basic concept of sample survey, relative advantages, disadvantages and
suitability of complete and sample enumeration. Uses of sample survey. Role of
sampling theory. Requirements of a good sample design.
Preliminaries in sample survey : Units, Population, Sampling units, Sampling frame
related problems. Basic principles of sample survey. Various steps involved in a sample
survey. Pilot survey, Random or probability sampling and Non-random or purposive
sampling. Quota sample. Mixed sample.
Population values and estimates in sample survey: Bias and its effect. Precision and
accuracy of estimates. Different type of errors associated with sampling such as sampling
error & non sampling errors and complete enumeration. Various methods of data
Collection. Questionnaire and schedule. Preparation of questionnaire. Open and closed
questionnaire. Different types of random sampling.
Simple random sampling: Advantages and disadvantages, Drawing of samples with
and without replacement sampling, estimates and standard errors. Simple random
sampling for proportion-estimate and standard errors. Determination of sample size for
specified precision. Introduction to other probability sampling schemes.
Stratified random sampling: Reasons for stratification. Formation and number of
strata. Stratified random sampling, estimator, standard error. Allocation of samples to
strata.
Cluster Sampling: Reasons for clustering, formation of clusters, size of clusters. Simple
cluster sampling with equal size clusters-estimates and standard error, comparison with
simple random sampling. Two stage sampling.
Systematic sampling : Use, limitation, estimates, bias, standard error and efficiency.
Comparisons with simple random sampling. Systematic sampling for populations with
linear trend. Methods for dealing with population with linear trend or periodic variation.
Ratio and Regression Estimate: Ratio and Regression estimate, Ratio estimation
examples. Estimate, Bias, Mean square error, approximate variance, condition for
unbiased ratio estimation, Unbiased ratio type estimate.
Regression estimation, example, properties and limitation, bias and approximate
variance, estimate of the variance, Bias of the linear regression estimate. Comparative
merits and demerits of ratio and regression estimate.
Books Recommended:
(i)
Cochran, W.G. : Sampling Technique
(ii)
Islam, M.N.
: An Introduction to sampling Methods. Book
(iii) Kish, L.
:World.
Survey Sampling
(iv) Hansen, Hurwitz and
Mandow
: Sample Survey Methods and Theory Vol-1 &
(v)
Sukhatme, P.V Vol-2
: Sampling Theory of Surveys with Application
(vi) Daroga Singh
: Sampling Technique
Course Code
Course Title:
3665
Marks: 50
Credits: 2
Lab 1. Numerical Mathematics
Numerical Mathematics: Problems with operators and polynomials. Uses of
interpolation formulae for equal and unequal interval. Newton’s forward and Backword,
sterling’s, Basel’s formulae, Lagrange’s interpolation formula. Newton’s divided
difference formula, Inverse interpolation, Numerical Solution of equation, Numerical
integration. Double interpolation.
Course Code
Course Title:
3666
Marks: 50
Credits: 2
Lab 2. Sampling technique
Sample survey: Drawing of sample by SRS, Stratified sampling, systematic sampling,
cluster sampling with equal size. Estimation of parameters in each case. Estimation of
variance of the estimates of the parameters, determination of precision of estimates.
Relative efficiency of different sampling scheme. Estimate of parameters by ratio and
regression
methods
and
their
standard
errors.
Course Code
7241
Marks: 100
Credits: 4
Course Title:
Money Banking public finance
Class Hours: 60
Exam Duration: 4 Hours
1. Money : Definition, functions, importance, types of money.
2. Value of money : Meaning, quantity theory of money, cash transaction and cash balance
approach, concept of inflation and deflation.
3. Commercial. Banking : Functions, Balance sheet, liquidity and profitability. Multiple credit
creation of commercial banks. Commercial Banks of Bangladesh.
4. Central Banking : Objective, Functions, Credit Control of central bank. Bangladesh Bank.
5. Specialized Banking : Objective, Importance. Role of BSB, BSRS, BKB, Islami Bank,
Grameen Bank.
6. Public Finance : Definition, Nature and Scope, Distinction between public finance and private
finance, Role of public finance in developing countries.
7. Public Revenue : Sources, tax & fees, impact & incidence of taxes, direct & indirect taxes,
value added tax.
8. Public Expenditure : Need for public expenditure & its increasing importance.
9. Budget : Concept of budget. Distinction between revenue and capital budget, public debt.
Sectoral allocation. Study of the budgets of Bangladesh (last five years).
10. Characteristics of the Economy of Bangladesh : Obstacles & preconditions of economic
development. Agricultural resources, its importance and problems.
11. Population in Bangladesh : Its growth, structure & distribution Problem, family planning,
unemployment problem.
12. Industry in Bangladesh : Importance of industrialization, structure of industry. Problems &
prospect of industries.
Books Recommended :
1. Crowther
:
Outline of Money
2. Luckett
:
Money & Banking
3. Musgrave
:
Theory of public Finance
4. Due
:
Government Finance.
5. Faaland & Parkinson
:
Bangladesh : A Test case of Development.
6. A. R. Khan
1989
:
The Strategy of Development in Bangladesh Macmillan,
Course Code
7228
Marks: 50
Course Title:
Agricultural Economics
Credits: 2
Class Hours: 40
Exam Duration: 2.5 Hours
1. Introduction : Definition of Agricultural Economics, need for a separate study.
2. Structure and characteristics of traditional agriculture : Basic features of traditional
agriculture, development in traditional agriculture.
3. Contribution of agriculture to economic development : Product contribution; factor
contribution, market contribution and their relative importance; Importance of agriculture for
industrial development.
4. Types of farming : Commercial, cooperative and collective farming; share cropping,
subsistence farming Vs. Capitalist farming.
5. Agricultural Finance : Importance of agricultural credit, sources of agricultural credit,
institutional and non institutional; functions of rural money markets if the LDCs.
6. Land reform : Definition, objectives of land reform, features of past and modern land reforme,
difficulties of implementing land reform.
7. Marketing : Role of agricultural marketing, marketing functions and market structure, market
intelligence, imperfections of agricultural marketing in LDCs.
8. Role of government: Rationale for government intervention in agriculture, protections of
farmes’s income, price support and input subsidy- a comparative study.
Books Recommended :
1. Ghatak and lngersent
:
Agriculture and Economic Development.
2. Hill and Ingersent
:
Economic Analysis of Agriculture.
3. Mellor
:
Economics of Agricultural Development.
4. Southworth and Johnson
:
Agricultural Development.
5. Barkat, Zaman & Raihan
:
Political Economy of Khas land
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Course Code
7373
Course Title:
Calculus- II
Marks: 100
Credits: 4
Class Hours: 60
Exam Duration: 4
Hours
Vector valued functions of a single variable: Limits. Derivatives and integrals. Tangent
lines to graphs of such functions. Arc length from vector viewpoint. Arc length
parametrization .
Curvature of space curves: Definition. Curves of zero curvature. Curves of constant nonzero curvature. Cartesian equations and parametric equations. Radius of curvature. Centre of
curvature.
Functions of several variables: Limits and continuity. Partial derivatives. Differentiability,
linearization and differentials. The chain rule. Partial derivatives with constrained variables.
Directional derivatives, gradient vectors and tangent planes. Extreme values and saddle
points of functions of several variables. Lagrange multipliers. Taylor’s formula.
Multiple Integration: Double integrals and iterated integrals. Double integrals over
nonrectangular regions. Double integrals in polar coordinates. Area by double integrals.
Triple integrals and iterated integrals. Volume as a triple integral. Triple integral in
cylindrical and spherical coordinates. General multiple integrals. Jacobians.
Topics in Vector Calculus: Scalar and vector fields, Gradient, divergence and curl, and their
properties. Line integrals, Independence of paths. Green’s theorem. Surface integrals.
Stokes’ theorem. The divergence theorem.
Evaluation: Final exam (Theory ; 4 hours ): 100 marks.
Ten questions will be set, of which any
six are to be answered. Books
Recommended :
1.
Howard Anton- C a l c u l u s 5 / E (a n d f o r w a r d e d i t i o n )
Course Code
7375
Marks: 50
Course Title:
Math Lab (Practical)
Credits: 2
Getting started. Problem solving using Mathematica /Maple (Problems will be selected from
courses studied in the first and second years of their studies).
Students are
3696
M a r k s : 50
Credits: 2
required to work
on theirTitle
Course
Viva-voce
assignments in
MMT 201 in the
lab
Viva-voce
on courses studied in the first and second years.
sessions.C o u r s e
Code
Course Code
Course Title:
9999
Marks: 100
English (Compulsory)
Non-Credit
Class Hours: 60
Exam Duration: 4
Hours
Aims and objectives of this course: To develop students’ English language skills, to enable them to
benefit personally and professionally. The four skills  listening, speaking, reading and writing will be
integrated to encourage better language use.
1. Reading and understanding
54=20
Students will be expected to read passages that they might come across in their everyday life, such as
newspapers, magazines, general books etc. Simple stories will also be included to give students a
familiarity with different uses of the language.
[N.B. : 5 Questions are to be answered. Each question will carry 4 marks. There may be division in
each question]
a) Understanding different purposes and types of readings
b) Guessing word-meaning in context.
c) Understanding long sentences
d) Recognizing main ideas and supporting ideas.
e) Answering comprehension questions.
f) Writing summaries.
2. Writing
40
a) Writing correct sentences, completing sentences and combining sentences.
5
b) Situational writing : Posters, notices, slogans, memos, advertisements etc.
4
c) Paragraph writing : Structure of a paragraph; topic sentences; developing ideas; writing a
conclusion; types of paragraphs (narrative, descriptive, expository, persuasive); techniques of
paragraph development (such as listing, cause and effect, comparison and contrast).
8
Or,
d) Newspaper writing : Reports, press releases dialogues etc.
e) Writing resume©s.
Or,
8
f)
Writing letters : Formal and informal letters, letters to the editor, request letters, job
applications, complaint letters etc.
g) Essay : Generating ideas; outlining; writing a thesis sentence; writing the essay: writing
introductions, developing ideas, writing conclusions; revising and editing.
15
3. Grammar
25
a) Word order of sentences.
b) Framing questions.
c) Tenses, articles, subject-verb agreement, noun-pronoun agreement, verbs, phrasal verbs,
conditionals, prepositions and prepositional phrases, infinitives, participles, gerunds. (Knowledge
of grammar will be tested through contextualised passages).
d) Punctuation.
4. Developing vocabulary : Using the dictionary, suffixes, prefixes, synonyms, antonyms, changing
word forms (from verb to noun etc.) and using them in sentences.
10
5.
Translation from Bengali to English.
15=5
6.
Speaking skills : Speaking skills should be integrated with writing and reading in classroom activities.
The English sound system; pronunciation skills; the IPA system; problem sounds, vowels, consonants
and dipthongs; lexical and syntactic stress.
(Writing dialogue and practising it orally students can develop their speaking skill. Dialogue writing
can be an item in writing test.)