COURSE OUTLINE
Mathematics II
1. General
School
Academic Unit
Level of Studies
Course code
Semester
Course Title
Idependent Teaching Activities
Weekly Teaching Hours
Credits
Course Type
Prerequite Courses
Language of Instruction and Examinations
Is the course offered to Erasmus Students?
Url (Eclass)
2. Learning Outcomes
Learning Outcomes
The goal of this course is to teach students the mathematical skills they need in order to deal with basic and more advance problems of economics. The course provides an introduction to the mathematical concepts and methods used in economics and covers material from calculus, matrix algebra and optimization theory. Besides the theory, several applications are developed for many different branches of economics and finance.
Upon successful completion of the course students will be able to:
use the knowledge of mathematical analysis to create and use models on financial and investment issues.
They will also be able to research and further deepen to applied mathematics in the economic sciences, as well as be able to apply mathematical results, and with the use of computers, to find solutions to economic and financial issues.
General Competences
- Autonomous work
- Team work
- Work in inter-scientific environment
- Adjustment in new conditions
3. Syllabus
First section
Linear Algebra
- Calculations with matrices
- Systems of linear equations and inverting matrices
- Inner product
- Transposition and quadratic forms
Second section
Functions with several variables
- Partial derivatives
- Implicit differentiation
- Optimization with several variables
- Optimization with constrains
Third section
Differential equations
- Linear equations with constant coefficients
- Second order ordinary and partial differential equations
4. Teaching and Learning Methods - Evaluation
Delivery
Use of Information and Communications Technology
E-class platform support
Teaching Methods
Activity
Semester Workload
Student Performance Evaluation
Writing exams (100%) that refers to the theoretical questions and exercises on the material developed in the class.
5. Attached Bibliography
Suggested Bibliography
- “Mathematics for Economists: An Introductory Textbook”, M. Pemberton and N. Rau.
- “Maths for Economics”, G. Renshaw.