You need to activate javascript for this site.
1. Home
2. Courses
3. Industrial Engineering and Management
4. Mathematics II

# Mathematics II

 Code 15350 Year 1 Semester S2 ECTS Credits 6 Workload TP(60H) Scientific area Mathematics Entry requirements No Learning outcomes To develop student’s logical, critical and analytical reasoning, and to enhance students' autonomy in formulating and solving mathematical problems. Syllabus 0.1 Motivation for Analysis1. Functions from R^n to R^m 1.1 Free and constrained optimisation1.2 Method of the Lagrange's multipliers2. Integral calculus in R^n 2.1 Fubini's theorem2.2 Areas and volumes3. Real and complex numbers3.1 The notion of field3.2 General form and polar form of a complex number3.3 Symmetric and conjugate of a complex number3.4 Operations with complex numbers3.5 Powers and roots0.2 Motivation for Linear Algebra4. Topics of Linear Algebra4.1 Vector spaces4.2 Linear dependence and independence4.3 Generators and basis4.4 Vector subspaces5 Linear transformations and matrices5.1 Kernel, image space and rank of a matrix5.2 Eigenvalues and eigenvectors of a matrix5.3 Determinants 5.4 Systems of linear equations Main Bibliography Azenha, A., Jerónimo, M. A. (1995), Elementos de Cálculo Diferencial e Integral em R e R^n, McGraw-Hill.Cabello, J. G. (2006), Álgebra Lineal. sus aplicaciones en Economía, Ingenierías y otras ciencias, Delta.Cabral, I., Perdigão, C., Saiago, C. (2009), Álgebra Linear, Escolar.Correia, A. L., Martinho, C. (2022), Matrizes e aplicações, Escolar.DMAT-IST (2005), exercícios de análise matemática I e II, IST.Hoffmann, L., Bradley, G. (2010), Calculus for Business, Economics, and the Social and Life Sciences, McGraw-Hill.Lay, D. C. (1999), Álgebra linear e suas aplicações, LTC.Pires, C. (2001), Cálculo para Economistas, McGraw-Hill.Stewart, J. (2013), Cálculo, Volume 2, Cengage Learning.Vários autores (vários anos), Testes e Exames, Moodle. Teaching Methodologies and Assessment Criteria The methodology is student-centered, and the student is expected, during the semester, to acquire and apply the concepts through autonomous work. In this sense, the periodic assessment, which allows the student to show the acquired skills, is paramount. More concretely, three assessments will take place. Language Portuguese. Tutorial support is available in English.

### Course

Industrial Engineering and Management
Last updated on: 2024-02-26

The cookies used in this website do not collect personal information that helps to identify you. By continuing you agree to the cookie policy.