Dependencies: None

Syllabus: Descriptive Statistics with more emphasis on business applications: Types of data; scales of measurement; data summarization: frequency table, cum. frequency table, histogram, bar chart, pie chart, percentiles, quartiles, 5 –number summary, Box plot, outliers; measures of location; measures of dispersion, skewness, kurtosis, Z-score.

Evaluation Criteria: End-of-semester examination

Suggested Readings: Brief course in Business Statistics by William Mendenhall, Robert BeaverStatistics for Business and Economics (9e) by Anderson, Sweeney & William

Dependencies: None

Syllabus: Basic concepts of probability, probability definitions; counting rules, probability rules, conditional probability, independence, probability theorems, One dimensional random variables; discrete and continuous distributions, expected value, variance, associated theorems, moment generating function. Some common probability distributions, central limit theorem with applications. Distributions of functions of random variables, relationships between distributions; two –dimensional random variables: joint distribution (discrete, continuous), marginal and conditional distributions, independence, Bivariate normal distribution, covariance, correlation, conditional expectation, expectation of functions of random variables; bivariate transformations.

Evaluation Criteria: End-of-semester examination

Suggested Readings: Statistical Inference (2e) by Cassella & Berger

Dependencies: None

Syllabus: Train students in elementary data analysis using descriptive statistics, Data Management and analysis using a basic software package.

Assessment Continuous assessments

Suggested Readings: Data Analysis with Excel - An Introduction for Physical Scientists by Les Kirkup

Dependencies: None

Syllabus: Introduction to statistical modelling, Linear and Non-linear relationships, Time related Models.

Evaluation Criteria: End-of-semester examination

Suggested Readings: An Introduction to Generalised Linear Models (2e) by A.J. Dobson

Dependencies: None

Syllabus: Introduction to SPSS for Windows, Reading Data, Cross Tabulations and Recoding, Creating new variables, Conditional Computes, Sampling cases, Numerical and Graphical summaries. Basic statistical analysis using SPSS. Introduction to R package: manipulation and management of data in the R environment, summarising data numerically and graphically, Basic statistical analysis using R, functions, iterations, and conditions in R

Evaluation Criteria: Continuous assessments

Suggested Readings: Data Analysis and graphics using R: an example-based approach - By John Maindonald and John Braun Statistical Modelling and Computing by DR. Nick Fieller

Dependencies: None

Syllabus: Definition of Micro and Macro Economics. Basic Macro Economic Concepts, Gross Domestic Product, Gross National Product, Per Capita Income, Balance of Payment and Inflation. Demand and Supply for a Product and their determinants, Elasticity of Demand and Supply. Production and cost Functions of a Firm, Marginal Analysis, Investment and Risk Analysis, Evaluation of Investment Projects. Macroeconomic issues, alternative macroeconomic theories; and fiscal and monetary policies. Equivalent Theory of individual economic behaviour; price determination; market structures; labour, capital and natural resource markets; international economics.

Evaluation Criteria: End-of-semester examination (80%), Continuous assessments (20%)

Suggested Readings: Samuelson and Nordhaus, “Economics”, 16 th Edition, 1998, Irwin McGraw-Hill. Maurice and Thomas, “Managerial Economics”, 2001, Irwin McGraw-Hill.

Dependencies: None

Syllabus: Accumulation function, simple and compound interest, present values, discounting; interest rates in discrete and continuous time. Basic annuities: introduction, annuity – immediate/due, perpetuities. More general annuities: annuities payable less/more frequently than interest is convertible, continuous/basic varying annuities, general/continuous varying annuities. Yield rates: discounted cash flow analysis, yield rate, reinvestment rate, capital budgeting, borrowing/lending models.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Expected learning outcomes: Fundamentals of Mathematical methods in the sense of financial applications Introduction, Ordinary Differential Equations with examples in financial applications (first order ordinary differential equations: Differentials, Classical solution methods, second order constant coefficient ordinary differential equations). Introduction to first and second order constant coefficient difference equations, classical solution methods, application in finance. Eigenvalues / Eigenvectors, Diagonalization, Solving systems of linear difference equations.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Functions of real variable: Real numbers and intervals; Polynomial, Rational and Trigonometric functions; Composite functions; Graphs of functions Limit and continuity: Algebra of limits, One sided limits, Continuity, Intermediate value theorem and Absolute Maxima and Minima (without proof) ; Infinite limits. Differentiation: Tangent line and derivative, Differentiability and continuity, Rates of change, Rules for sums, products, quotients and trigonometric functions, Chain rule, Higher order derivatives and implicit differentiation. Applications of differentiation: Differentials and linear approximations, Rolle’s theorem, Mean value theorem and L’Hospital rule (without proof). Monotonic functions, Critical points and their nature, Curve sketching, Optimisation, Applications in Business and Economics.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Introduction to Economics, Role of mathematics in economics, General study of demand, supply and equilibrium. Static analysis of market models and selected macro economic models. Effect of taxation on static market models. Dynamic analysis in continuous and discrete time of market models and selected macro economic models. Effect of taxation on dynamic market models. Elasticity and other economic concepts: elasticity of demand and supply - point and cross elasticities. Analysis of single product functions and joint products functions { cost, revenue, profit, etc}. Consumer’s and Producer’s surpluses. Optimisation of single product functions and joint products functions { cost, revenue and profit functions}. Utility functions: introduction, derivation, maximizing with and without budget constraints ; derivation of demand functions, marginal rate of substitution, indifference curves and contract curves (Edgeworth box).

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Sets and relations ; set operations, equivalence relation, partial order, order. Vectors and Matrices; Rank, Range, Nullspace, Linear equations. Vector spaces - subspaces, basis and dimension.Linear transformation, change of basis. Inner products ; Orthogonality, Orthogonalization process.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Concept of Management and evolution of Management thoughts; the scientific management movement and other schools of thoughts that followed. Socio-industrial imperatives for evolution of thoughts. Functional areas of management: planning, organizing, staffing, monitoring and evaluation. Selected new developments in modern management practices.

Evaluation Criteria: End-of-semester examination (80%), Continuous assessments (20%)

Suggested Readings: Robbins and DeCenzo, “Fundamentals of Management”, 8h Edition, 1998, Prentice Hall. Donnelley, Gibson and Ivancevich Irwi, “Fundamentals of Management”, 10th Edition, 1998.

Dependencies: None

Syllabus: Formulation of linear programming problems, Solving 2 variable LP problems using the graphical method. The Simplex algorithm. The Simplex method in matrix notation. The degeneracy and convergence of the Simplex algorithm. Sensitivity and parametric analyses. The Dual Simplex method, Big M method and the Two phase Simplex method.

Evaluation Criteria: End of semester examination

Dependencies: None

Syllabus: Introduction to Operational Research, Mind Expanding problems, Overview of Linear Programming, Integer Programming and Solution Techniques, Zero-one Programming and solution techniques, Transportation models, Assignment models and their solution techniques.

Evaluation Criteria: End-of-semester examination (80%), Continuous assessments (20%)

Suggested Readings: Operational Research an Introduction by Hamdy A. Taha, Introduction to Operations Research by Hillier and Lieberman

Dependencies: None

Syllabus: Use of computer software packages like TORA, LINGO or MatLab to maximize/ minimize functions subject to certain constraints. Use of or Java to analyze and solve specific problems that come up in areas like Management, Finance, Economics and Applied Mathematics in general. Computer applications of Optimization techniques in solving and analyzing problems.

Evaluation Criteria: End of semester examination