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
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