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MATHEMATICS I
Subject code: 16254008 Print
Identification data
Year: 2026-27
Subject
MATHEMATICS I
Code
16254008
Course
Bachelor's Degree in Business Administration and Management (2024)
Level
Undergraduate
Subject matter
Mathematics
Scope
ME - Mathematics and statistics
Credits
Type
Academic year
6.0
CORE
1rt curs
Period
First semester
General description
Development of algebraic and real analysis tools needed for the grade.
Modality of instruction
Face-to-face
Required subjects
Recommended subjects
Co-requisite
16254004 - INTRODUCTION TO ECONOMICS
Post-requisite
16254009 - MATHEMATICS II
Requisits i Recomanacions
USE OF ARTIFICIAL INTELLIGENCE TOOLS AND VERIFICATION TESTS The use of artificial intelligence tools must strictly adhere to the instructions of the teaching staff and, in any case, must be declared. Unauthorized, excessive, or undeclared use in the completion of assessment activities is contrary to the principles of academic integrity and results in a failing grade for the activity, without prejudice to the application of other disciplinary measures in accordance with the Academic Regulations for Bachelor’s and Master’s Degrees and the URV Student Disciplinary Regulations. The teaching staff may, at any time, establish additional mechanisms to verify authorship and to require the defense or oral explanation of the submitted activities and/or assessment tests.
Coordinator
Instructor(s)
Schedules, classrooms and language of instruction for group
Schedules, classrooms and language of instruction for group

Specific learning outcomes of the degree

  • SE2   - Evaluate quantitative information of a financial, accounting, economic and social nature, relevant for business decision-making.
    • SE2.2 - Apply basic mathematical instruments to analyse and interpret economic data.

Transversal learning outcomes of the degree

PART I: REAL ANALYSIS

1. REAL FUNCTIONS OF ONE REAL VARIABLE

1.1 Continuous functions. Classes of discontinuous functions
1.2 Derivative and elasticity of a function
1.3 Local and global extrema. Increasing and decreasing functions
1.4 Concavity and convexity
1.5 Graphical representation of functions

2. INTEGRATION

2.1 Indefinite integral
2.2 Definite integral

PART II: LINEAR ALGEBRA

3. MATRICES AND DETERMINANTS

3.1 Matrix operations
3.2 Determinant of a matrix
3.3 Rank of a matrix

4. SYSTEMS OF LINEAR EQUATIONS

4.1 Definition of a system of linear equations
4.2 Classification of systems
4.3 Resolution of systems

5. THE VECTOR SPACE Rn

5.1 Definitions and examples
5.2 Linear dependence and linear independence
5.3 Scalar product

The data displayed in the table is orientative, taking into consideration the heterogeneity of students

Other observations:

Only scientific calculators will be allowed during evaluation activities.

Second call:

The 100% of second examination session and the aditional examination session is a final exam about all the contents of the subject.

Basic bibliography

  • ( Others ) Llúcia Mauri Masdeu / Economia, Matemàtiques I. Economia i empresa, 2012 Access to the CRAI
  • ( Others ) Cori Vilella Bach / Gestió d'Empreses, Apunts de matemàtiques I, 2011 Access to the CRAI
  • ( Book ) Hoffmann, Laurence D. / Bradley, Gerald L., 1940- / Rosen, Kenneth H., Cálculo aplicado : para administración, economía y ciencias sociales , cop. 2006 Access to the CRAI
  • ( Book ) Sydsæter, Knut. / Hammond, Peter J. / Carvajal, Andrés M., Matemáticas para el análisis económico , cop. 2012 Access to the CRAI

Complementary bibliography

  • ( Book ) Hoffmann, Laurence D. / Bradley, Gerald L., 1940- autor / Sobecki, Dave, autor / Price, Michael, autor, Applied calculus for business, economics, and the social and life sciences / Laurence Hoffmann, Gerald Bradley, Dave Sobecki, Michael Price, 2013 Access to the CRAI
  • ( Book ) Sydsæter, Knut. / Hammond, Peter J., 1945- / Strøm, Arne, Essential mathematics for economic analysis / Knut Sydsæter and Peter Hammond with Arne Strøm, 2012 Access to the CRAI

Subjects that continue the syllabus: Mathematics II

Subjects that are recommended to be taken simultaneously: Introduction to Economics