Course Content (Syllabus)
I. UNIVARIATE CALCULUS
The derivate and differential for functions of one variable.
Higher order derivatives.
Exponential and logarithmic functions. Cobb-Douglas functions.
Marginal Revenue Product. The elasticity concept.
Necessary conditions for unconstrained maxima and minima.
Definition of a tangent line.
Taylor Series Formula.
II. LINEAR ALGEBRA.
Solving systems of linear equations. (Cramer’s rule).
III. MULTIVARIATE CALCULUS
Functions of n-variables.
More properties of functions with economic application.
Second-order (and higher order) partial derivatives.
Hessian matrix. Total differential.
Quadratic forms. Definiteness of quadratic form.
Optimization of functions of n-variables. First and second-order conditions.