Mathematics Syllabus:

Algebra: This section encompasses the Binomial Theorem, Arithmetic Progressions (AP), Geometric Progressions (GP), Series, Permutations and Combinations, and the Theory of Polynomial Equations.

Linear Algebra: Topics include Vector Spaces, Linear Transformations, Matrix Representations along with Elementary Operations, and Systems of Linear Equations.

Calculus: This portion covers Functions, Limits, Continuity, Differentiation of Functions involving one or more variables, Unconstrained Optimization, Definite and Indefinite Integrals, Integration Techniques such as Integration by Parts and Substitution, concepts of Convexity and Quasi-convexity, Constrained Optimization for Functions with not more than two variables, Implicit Function Theorem, and Homogeneous and Homothetic Functions.

Elementary Statistics: This part delves into Elementary Probability Theory, Measures of Central Tendency, Dispersion, Correlation and Regression Analysis, Probability Distributions, and familiar Standard Distributions such as Binomial and Normal.

Microeconomics Syllabus:

Topics in Microeconomics encompass the Theory of Consumer Behavior, Theory of Production, Market Structures in the context of Perfect Competition and Monopoly, Price Discrimination, Duopoly with Cournot and Bertrand Competition, Public Goods, Externalities, General Equilibrium, and Welfare Economics.

Macroeconomics Syllabus:

Macroeconomics subjects include National Income Accounting, the Simple Keynesian Model for Income Determination and the Multiplier, the IS-LM Model, Models of Aggregate Demand and Aggregate Supply, Money and Banking Principles, Inflation, the Phillips Curve, Elementary Open Economy Macroeconomics, the Harrod-Domar Model, and the Solow Model.