Mathematical Economics I D7

The course contains mathematical methods that are useful tools when applying economic theories and which facilitates understanding of economic literature. The course starts with a quick repetition of equilibrium analysis. Thereafter, matrix algebra, which facilitates the analysis of multi-equation models, is introduced. For example, matrices and vectors are defined and we go through the mathematical laws of matrices and how matrix algebra can be used to identify equilibriums. The course then continues with a repetition of comparative statics and derivation rules in models with one explanatory variable, and we then go through the same things for the general functional models. The third part of the course deals with optimization problems. This includes Maclaurin and Taylor series expansions, the second- and the Nth-derivative test. The exponential and logarithmic functions are reviewed and we go through optimization under equality and inequality constraints.   The last part of the course deals with integrals and includes rules of integration and some properties of definite integrals.