Mathematical method for economic analysis I
| 1st | October | 4th | pp.1-7 | integers, rationals, real, R^n, sets, sequences, convergence |
| 2nd | 18th | pp.7-21 | bounded, unbounded, subsequences, limit points, Cauchy sequences | |
| completeness, suprema, infima maxima, minima, monotone sequences | ||||
| lim sup, lim inf | ||||
| 3rd | 25th | pp.22-29 | open balls, open sets, closed sets, bounded sets, compact sets | |
| convex combinations, convex sets, unions, intersections | ||||
| 4th | November | 1st | pp.30-41 | matrices, sum, product, transpose, square matrix, diagonal matrix |
| identity matrix, lower (upper) triangular matrix, rank, determinant, inverse | ||||
| 5th | 8th | pp.41-52 | functions, continuous functions, differentiable, continuously differentiable functions | |
| partial derivatives, higher order derivatives, quadratic forms | ||||
| 6th | 15th | pp.74-82 | optimization problem, parametric form, utility maximization, expenditure minimization | |
| profit maximization, cost minimization, consumption-leisure choice, portfolio choice | ||||
| 7th | 25th | pp.82-91 | pareto optima, optimal provision of public goods, optimal commodity taxation | |
| the object of optimization theory, a roadmap, the Weierstrass Theorem | ||||
| 8th | 29th | pp.92-97 | the Weierstrass Theorem | |
| 9th | December | 6th | pp.100-111 | unconstrained optima, first-order conditions, second-order conditions |
| 10th | 13th | pp.112-117 | constrained optimization problems, equality constraints, Theorem of Lagrange | |
| constraint qualification, Lagrange multipliers | ||||
| 11th | 20th | pp.117-124 | second-order conditions, cookbook procedure for the equality-constrained optimization problem | |
| 12th | 27th | pp.125-135 | examples for the Theorem of Lagrange | |
| 13th | January | 17th | pp.145-152 | the Theorem of Kuhn and Tucker |
| 14th | 24th | pp.152-161 | examples of the Theorem of Kuhn and Tucker | |
| 15th | 31th | cancelled | ||