Mathematics for Economics - I

This is a basic course on application of mathematical techniques in economics. Students of science or engineering background would find it helpful since they have grounding in mathematics. The course will enable them to explore the subject of economics. If they want to branch out to economics or finance this course would give them training of the kind of mathematical applications used in these subjects. Students of economics and other social sciences would also benefit from this course.INTENDED AUDIENCE : Undergraduate studentsPREREQUISITES : Mathematics in the 10+2 level is prerequisite

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