Mathematics for Economics - I

Week 1 : Preliminaries: aim of the course, real number system, logic, mathematical proof Week 2 : Sets and set operations Week 3 : Functions of one variable, graph of functions, types of functions Week 4 : Differentiation, partial differentiation, differentiable functions: properties Week 5 : Differentiation of higher order, linear approximatio Week 6 : Sequence and series, limits, convergence, exponential and logarithmic functions Week 7 : Single variable optimization: convex and concave functions, geometric properties Week 8 : Single variable optimization: results, applications Week 9 : Integration: area under curves, indefinite and define integrals, integration by substitution, discontinuous functions Week 10 : Applications of integratio Week 11 : Difference functions: discrete time, first order difference equation, applications Week 12 : Higher order difference equations, summing up