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Quantitative Techniques for Managers QTE 054

Course Contents 1.0 Further differentiation and integral calculus 1.1 Review of rules of differentiation 1.2 Application of first order differentiation 1.3 Second order differentiation – test for maximum and minimum 1.4 Application of second order differentiation 1.5 Partial differentiation 2.0 Matrices/input-output analysis 2.1 Matrix algebra (review) 2.2 Application of matrices in: 2.2.1 Market models 2.2.2 National income models 2.2.3 Leontif input – output models 3.0 Sampling theory; introduction 3.1 Purpose of sampling (merits and demerits of sampling) 3.2 Principles of sampling 3.3 Methods of sampling 3.4 Sampling and non-sampling error 3.5 Sampling distribution 3.6 Central limit theorem 3.7 Estimation of parameters 3.8 Statistical estimation 3.9 Interval estimation 3.10 Test of hypothesis 3.10.1 Procedure for testing hypothesis 3.10.2 Type I and type II errors 3.10.3 One failed and two failed test 3.10.4 Small sampling theory 3.10.5 Properties of t-distribution hypothesis testing about the population The F-distribution 4.0 Probability theory 4.1 Introduction – meaning of probability of terms, properties probability, probability tree 4.2 Roles of probability 4.3 Expected values 4.4 Permutation and combination 4.5 Probability distribution 4.5.1 Normal distribution 4.5.2 Binomial distribution 4.5.3 Poisson distribution 5.0 Linear programming 5.1 Generalized linear programming model 5.2 Assumptions of linear programming model 5.3 Characteristics of linear programming model 5.4 Examples of liner, programming problems 5.5 Some useful definition 5.5.1 Methods of solution 5.5.2 Graphical method 5.5.3 Simplex method 5.5.4 Some special cases and simplex method 5.5.5 Duality theorem 6.0 Markov process 6.1 Markovian property 6.2 Transition probabilities 6.3 Markov chain 6.4 Steady state 6.5 Application of Markov process 7.0 Regression analysis 7.1 Correlation analysis