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 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 approximation 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 integration Week 11 : Difference functions: discrete time, first order difference equation, applications Week 12 : Higher order difference equations, summing up