Class Mathematics II

Course unit that introduces the main concepts of Linear Algebra and Linear Programming, focusing on solving systems of linear equations, matrix operations, determinants, the Leontief production model, and the use of Matlab. It also covers the formulation and solution of linear optimization problems using graphical and simplex methods, applied to decision-making in an economic context.  

Not applicable

1) Linear Algebra- Introduction to systems of linear algebraic equations.- Matrices. Operations with matrices.- Solving linear systems using the Gauss and Gauss-Jordan reduction methods.- Homogeneous systems.- Leontief's production model.- Inverse of a matrix: definition and properties.- Linear systems and inverses.- Determinants: definition and properties.- Matrix calculation and solving linear systems in Matlab. 2) Linear Programming- Introduction. Stages in a decision-making process. Standard maximum and minimum problems. problems. Hypotheses in linear programming.- Graphical resolution of linear programming problems.- Simplex algorithm.- Solving problems with artificial variables. Two-stage method.- Applications using Matlab..

Teaching practices will be mediated by Information and Communication Technologies, using computers and/or mobile devices. Students will be exposed to interactive educational resources, such as quizzes. Problem-based learning will be promoted, where students, where students, guided by the teacher, must identify problems and plan and carry out ways of solving them. O The aim is to improve the teaching and learning process provide students with the necessary necessary for the challenges currently facing humanity and increase their motivation for the course. motivation concerning the course.

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