**SECTION-A**
Elements of set theory-Fundamentals of set, operations with set, laws of set, Venn diagram, review of permutation and combination, Binomial theorem, exponential and logarithmic series.
Probability-Probability and possibility, methods of assigning probabilities: classical, empirical, geometric, relative frequency and axiomatic methods of probability, probability measures and probability space, total probability, marginal and conditional probability, random experiment, sample space, events, event space, different types of events (mutually exclusive, exhaustive, independent events), tree diagrams, compound probability, Bayes theorem.
Random Variable-Concept of random variable, discrete and continuous random variables, probability mass function, probability density function, distribution function, function of random variable and its distribution, joint, marginal and conditional distributions, independence of random variables, set function, odds ratio.

**SECTION-B**
Expectation-Meaning of expectation, marginal and conditional expectation, mean, variance, conditional mean and conditional variance, moments, covariance and correlation coefficient, expectation of sums and products of random variables, Chebyshev’s inequality.
Generating Function-Moment generating function, characteristic function, probability generating function, cumulant generating function and their properties, generating function and their applications in well known probability distribution.

**Recommended References**:
1. Mood, A. M., Graybill, F. A. and Boes, D. C. (1974), Introduction to the Theory of Statistics, 3rd Edition, McGraw-Hill, New York.
2. Devore, J. L. (2002), Probability and Statistics for Engineering and the Science, 6th Edition, Duxbury Thompson Learning, USA.
3. Meyer, P. L. (1970), Introductory Probability and Statistical Applications, 2nd Edition, Oxford and IBH, N.Y.
4. Ross, S.M. (2002), Introduction to Probability Models, 3rd Ed, Academic Press, N.Y.
5. Roy, M.K. (2011), Fundamentals of Probability and Probability Distribution, 4th Edition, Jahangir Press, Dhaka.
6. Roy, M.K. and Paul J.C. (2012), Business Statistics, 1st Edition, Jahangir Press, Dhaka.
7. Hogg, R. V. and Craig, A. T. (2007), Introduction to Mathematical Statistics, 6th Edition, Pearson Education Pte. Ltd, Singapore.

Different graphs and charts, construction of frequency distribution stable with equal and unequal class intervals, measures of central tendency and quantiles, measures of dispersion, standard error, moments, skewness and kurtosis, fitting of simple linear regression lines, correlation and rank correlation co-efficient, contingency table analysis, calculation of indices, different tests of index numbers, Calculation of Elementary probability and expectation. *Report based on Practical Problems using MS Excel.

**SECTION-A**Set Theory-Sets and set operations, Cartesian product of two sets, relations, order relation, equivalence relations, injective, bijective and subjective functions, inverse functions. Number System-Field and order properties, natural numbers, integers and rational numbers, absolute value and their properties. Summation of Algebraic Series-Arithmetic, Geometric series, method of difference, successive differences, use of mathematical induction, indirect method of proof, Contra positive and contradiction, direct proof. Theory of Equations-Synthetic division, number of roots of polynomial equations, relations between roots and coefficients, multiplicity of roots, symmetric functions of roots, sum of the powers of the roots, Descartes rule of signs, upper and lower limit of roots, transformation of equations (removal of any terms of the equations), reciprocal equations, solution of cubic and bi-quadratic equations.

**SECTION-B**Geometry in Two Dimensions-Cartesian and polar co-ordinates, transformation of co-ordinates, translation and rotation of axes, invariants, pair of straight lines, general equation of second degree and reduction to standard form, homogeneous and non-homogeneous equation, identification of conic, circles and system of circles, parabola, ellipse, hyperbola.

**Recommended References:**1. Anton, H. (2006), Calculus with Analytic Geometry, 4th Edition, Wiley, New York. 2. Agarwal, R. S. (1989), Set Theory and Number system, 4th Edition, Tata McGraw-Hill Publishing Company Ltd., New Delhi. 3. Bernard and Child (1936), Higher Algebra, 1st Edition, S.G Wasani for Macmillan India Ltd, New Delhi. 4. Stewart, J. (2003), Single Variable Calculus, Cergage Learning EMEA Brooke/Cole, California. 5. Bhattacharjee, R. (1998), Two and Three dimensional geometry, 10th Edition, Tata McGraw-Hill Publishing Company Ltd., New Delhi. 6. Ray, M. and Sharma, H.S, (1997), A Textbook of Higher Algebra, 11th Edition, Pacific Publishing Ltd., New Delhi.

**SECTION-A**
Differential Calculus-Relation, functions, domain, range and their graphs for real numbers, graphs of functions like exponential, logarithmic, trigonometric etc., inverse function, limits, continuity, basic theorems on derivatives, techniques of derivatives, higher order derivatives, Liebnitz's theorem, partial differentiation, Euler's theorem and applications, chain rule, intermediate form, tangents and normal, asymptotes, L-Hospital’s rule, Rolle’s theorem, Mean value theorem, extrema of function(maxima and minima), first derivative test, Taylor’s and Maclauria’s formulae.

**SECTION- B**
Integral Calculus-Integral techniques, method of substitution, integration by parts, application of integration, trigonometric functions and rational fractions; definite integral as limit of a sum, interpretation as area, properties of definite integrals, fundamental theorem of integral calculus (for continuous-functions), determination of length and area, reduction formulae, beta and gamma functions.

**Recommended References:**
1. Anton, H. (2006), Calculus with Analytic Geometry, 4th Edition, Wiley, New York.
2. Swokowski, W. E., Olinick, M. and Peuce, D. (2004), Calculus, 6th Edition, Western University, N.Y.
3. Apostol, (1969), Calculus, Vol. I and II, 2nd Edition, John Wiley and Sons, New York.
4. Ayres, F. and Meldelson, E. (1992), Calculus, 3rd Edition, McGraw-Hill, New York.
5. Ayres, F., (1974), Calculus. (Diff. and Int.), 2nd Edition, McGraw-Hill, New York.

**SECTION-A**
Computer Basics-Introduction to computer, History of computer generation, Computer system, structure, characteristics and functions of computer, criteria of powerful computer, classifications and generations of computer, parts of computer hardware, Types of modern computer, Application of computer, Hardware, Software, Classification of software. Utility Programs and Computer Virus, Computer language, Compiler and interpreter, Network, Classification of network, Internet and its related term, Memory: main and auxiliary memory, storage devices, keyboard, mouse, monitor, printer, tape, etc., number system, PC Operating System
Networking and Internet-Meaning of networking, uses and structure, basic components of data communication system, network topologies, types of network - LAN, WAN, MAN, etc. concept of macro viruses, effect of virus in computer, categories of viruses, preventing infections, idea about antivirus.

**SECTION-B**Number System and Code- Binary, octal, decimal and hexadecimal numbers, Conversion between different numbers system and their application in computer. Word processing and Spreadsheet- Meaning of spreadsheet soft-ware, spreadsheet software’s interface, entering data in worksheet, editing and formatting worksheet, word processing programs and their uses, entering and editing text, formula and function management, creating tables and others, Data base system.

**Recommended References:**

- Norton, P. (2006-2007), Introduction to Computers, 6th edition, Tata McGraw-Hill Publishing Company Ltd., New Delhi.
- Rajaraman, V., (2003), Fundamentals of Computers. Prentice Hall India Pvt. Ltd, New Delhi.
- Gallo, A. M. and Nenno, R. B. (1985), Computers and Society with Basic and Pascal, Prindle, Weber and Schmidt, Boston.
- Courter, G. and Marquis, A. (1999), Mastering Microsoft Office 2000, John Wiley and Sons, Professional Edition, N.Y.
- Capron, H. L. (2000), Tools for an Information Age, 7th Edition, Prentice Hall, USA.

Introduction to computer, basic components of a computer, data processing and devices, PC operating system, hardware and software, networking and internet, electronic spreadsheet (word processing packages, spread sheet analysis packages), solving statistical problem using MS Excel, and related advanced software.

**SECTION-A**
Communicative Grammar- Article, verbs and tenses, subject-verb agreement, preposition, conditional sentences, affixes, appropriate prepositions and related grammars.
Writing Skill-Application (mainly regarding academic affairs and to newspaper editions), paragraph, dialogue writing, synonyms and antonyms, research proposal writing, thesis topic introduction and abstract writing.

**SECTION-B**
Reading Skill-Reading small passages for specific answers, reading passages, related to the majors taken by the students, reading short stories and related grammars.
Speaking Skill-Asking questions, inviting, agreeing, disagreeing, drawing attention etc. controlled speaking practice: speaking in classroom on prepared topics and related grammars.
Listening Skill-Listening to social English, listening to small dialogues, from New Headway by Liz and John Soars, Oxford University Press.

**Recommended References:**
1. Raymond (2004), Intermediate English Grammar, 3rd Ed, Cambridge University Press, Murphy Cambridge.
2. Dr. M Manirzzaman (2002), Basic English Language Skills, Friends book Corner, Dhaka.
3. Michael A. and Mary Ellen Munog, Cliffs TOEFL Guide.
4. Rahman, M. (2007), From Shakespeare to Robert Frost: Some Timeless Poems Prakash Mahbub, Gono Prakashani.
5. Das D.C. (2005-06), Applied English Grammar and Composition, 4th Edition, Printing Centre, Kolkata.
6. Ann, Baker (1981), Ship or Sheep (with cassettes), Cambridge University Press, NY.

**SECTION-A**Probability space, Probability calculus, Measure theoretical approach to probability, concept of family of exponential distributions. Discrete Distribution- Bernouli, Binomial, Poisson, Rectangular, Geometric, Hyper-geometric, Negative Binomial, Multinomial, Logarithmic, beta binomial, Family of Hyper-geometric, Generalized Negative Binomial, Power series, truncated Binomial and Poisson, Ehran faster model.

**SECTION-B**Continuous Distributions-Uniform, Normal, Beta, Gamma, Exponential, Half Normal, Log Normal, Cauchy, Weibull, Inverse Gaussian, Laplace, Gumbell, Maxwell, Erlang, Pareto and other Exponential Family, Pearsonian System of Curves, truncated and mixture distribution of Normal, Poisson and Binomial.

**Recommended References:**1. Kendall, M. and Stuart, A, (1979), The Advanced Theory of Statistics, Vol-2, 4th Edition, Macmillan Publication Inc. New York. 2. Meyer, P. L. (1970), Introductory Probability and Statistical Applications, 2nd Edition, Oxford and IBH, New Delhi. 3. Roy, M.K. (2011), Fundamentals of Probability and Probability Distribution, 4th Edition, Jahangir Press, Dhaka. 4. Mood, A. M., Graybill, F. A. and Boes, D. C. (1974), Introduction to the Theory of Statistics, 3rd Edition, McGraw-Hill, NY. 5. Johnson, N., Kotz, S. and Kemp, A. (1994), Univariate Discrete Distributions, 2nd Edition, John Wiley and Sons, New York. 6. Devore, J. L. (2002), Probability and Statistics for Engineering and Sciences, 5th Edition, Thomson Books/Cole, USA. 7. Evans, M., Hasting, N. and Peacock, B. (2000), Statistical Distributions, 3rd Edition, Wiley, New York. 8. Hogg, R. V. and Craig, A. T. (2002), Introduction of Mathematical Statistics, 5th Edition, Pearson Education, Asia.

Probability-Fitting probability distributions and their limiting trends of discrete and continuous distributions such as Binomial, Poison, Ehran faster model, Normal, Exponential, Gamma, etc. Social Demography-Calculation of rates and ratios, standardization of rates, population pyramid, Meyer’s index, Whipple’s index, United Nations Index, estimation of and over count, intrinsic rates, mean and median age at marriage, growth rates, migration, child mortality, adult mortality, construction different life tables. *Report based on practical problem using any statistical package or software.