1. Set theory – Concepts and business applications
2. Functions – basic concepts, different types and applications
3. Derivatives (single variable) – basic working rules; applications to optimization problems and curve sketching
4. Partial derivatives – basic working rules and applications to optimization
5. Constrained optimization – use and interpretation of the Lagrange multiplier
6. Fundamentals of convexity and concavity and idea about their usage
7. Concept of integration and working rules; application to business and economic problems
8. Matrices and their applications
9. Combinatorics – Principles of counting; Permutations and Combinations; Inclusion-Exclusion principle
10. Probability and its applications in business and economics
Module II (Descriptive Statistics)
1. Scope, functions and limitations of statistics
2. Collection and presentation of data – Tabular and diagrammatic representation, Frequency distribution, relative
frequency,cumulative frequency; Bar graphs and pie charts; Histogram, Ogive.
3. Measures of Central tendency – Mean, Median, Mode, Percentiles, Quartiles
4. Measures of Dispersion – Range, Interquartile range, Mean deviation, Mean Absolute deviation, Standard
deviation, Variance, Coefficient of Variation.
5. Measures of shape and relative location; Skewness and Kurtosis; Chebyshev's Theorem
6. Simple correlation and regression analysis
Reference
Aczel – Complete Business Statistics (6th edition); TMH
Anderson, Sweeny and Williams – Statistics for Business and Economics (9th edition); Thomson Learning
Anthony, M. and Biggs, N. – Mathematics for Economics and Finance: Methods and Modeling; CUP
Dowling, E.T. – Introduction to Mathematical Economics; Schaum's Outline Series
Hoy Michael et.al. - Mathematics for Economics(2nd edition); PHI
Raghavachari, M– Mathematics for Management; TMH
Sharma, J.K - Business Statistics, Pearson Education.