To introduce mathematics as a tool to elucidate economic theory.
Basics of a Mathematical Model; Real-Number System; Inequalities and absolute Values; Concept of Sets; Relations and Functions; Types of Functions; Functions of two or more variables; Exponents; Polynomials; Binomial Theorem.
Linear Equations and Graphs-slopes, intercepts, the slope-intercept form; Determining the equation of a straight-line; Quadratic Equation versus quadratic Function; Systems of equations-Solution by Elimination of Variables, Graphical Solution, Equilibrium Analysis in Economics.
Types of matrices; Matrix Operations; Commutative, associative and distributive laws; Minors and cofactors.
Determinants and their properties; Crammer’s rule for solving linear equations; Inverse of a matrix; Solving linear equations with an inverse matrix.
Nature of Comparative Statics; Rate of change and the derivatives; Derivatives and the slope of a curve; Concept of Limit; Limit Theorems; Continuity and Differentiability of a Function.