Applied Mathematics for Management (2225.YR.006550.1)
General information
Type: |
BAS |
Curs: |
1 |
Period: |
S semester |
ECTS Credits: |
6 ECTS |
Teaching Staff:
| Group |
Teacher |
Department |
Language |
| Year 1 |
Xari Rovira Llobera |
Operaciones, Innovación y Data Sciences |
CAT, ENG, ESP |
Prerequisites
Basic knowledge of single variable functions and resolving systems of linear equations is required.
Workload distribution
Face to face sessions: 20 sessions of 2.5 hours
Independent study and tutorials: 100 hours
COURSE CONTRIBUTION TO PROGRAM
Mathematics is an essential tool for quantitative information analysis, for the creation and interpretation of models to explain the economic and financial reality of the business environment and for the development of structured reasoning processes. We are living presently in a digital revolution where the management, transformation, and analysis of data have become not only an asset but an absolute necessity within any business field. The topics and concepts that will be learned in this course will lay the foundation for students to reason logically through real-world problems requiring the application of mathematical methods, to assess critically the practical usefulness and interpretation of mathematical results, and to connect these with applications in economics and statistics.
Course Learning Objectives
After completing this course, students should be able to:
- Recognise and use mathematical language fluently in specific situations.
- Understand, relate and use the concepts and theoretical models of basic matrix algebra and one and two-variable calculus.
- Use mathematical reasoning and understand basic demonstrations.
- Apply rigorous deductive processes.
-Be ready for the new AI and Business Analytics era.
CONTENT
1. Matrices Aims of this unit:
Upon completing this section, students should be able to:
-Master matrix calculus language and fluidly use symbolic notation.
-Know how to resolve problems that include matrices.
-Understand and know how to apply square matrix diagonalisation processes.
Content:
Topic 1. Diagonalisation.
Topic 2. Dot Products.
|
2. Study of one-variable functions Aims of this unit:
Upon completing this section, students should be able to:
-Use one-variable calculus language.
-Understand, use and apply the concepts of function continuity, derivatives and integrals.
-Interpret simple-function graphs.
-Develop simple reasoning using these concepts in concrete applications.
Content:
Topic 3. Limits and Continuity.
Topic 4. Derivatives.
Topic 5. Single Integrals.
|
3. Study of two-variable functions Aims of this unit:
Upon completing this section, students should be able to:
-Use two-variable calculus language.
-Understand, use and apply concepts related to two-variable functions.
-Represent and interpret level curves and use them in specific applications.
-Represent enclosed areas in the plane and resolve some double integrals.
Content:
Topic 6. Two-variable Functions.
Topic 7. Partial Derivatives.
Topic 8. Unconstrained Optimization.
Topic 9. Constrained Optimization.
Topic 10. Double Integrals.
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Methodology
To achieve the learning objectives, the methodology applied in this subject includes:
1. Lectures to introduce the key concepts (1 hour/topic)
2. Participatory sessions in which students will work individually or in groups (4 hours/topic).
Participatory sessions: In these participatory sessions, students will work primarily in small groups (3 or 4 students). There are 2 types of participatory sessions:
- To introduce the "Maths everywhere" topic (1.5 hours/topic)
- Resolve more advanced "Applied maths" problems (2.5 hours/topic).
The "Applied maths" sessions will end with an exercise to test what students have learned. This exercise will be assessed. At the end of each topic, students will also have to take a quiz included as part of their ongoing assessment marks.
Assessment criteria
Faculty will assess students' correct use of concepts and theoretical models and their mastery of mathematical notation achieved through problem-solving exercises that must be undertaken both individually and in groups.
Their ability to carry out reasoning and simple demonstrations will be assessed through discussions and problem-solving activities in the classroom and different assessed learning activities.
Students' final grade for Applied Mathematics for Management will include, among others, the following elements:
-Class participation: Team interaction and teamwork: dedication, involvement, effort and collaboration
-Quizzes
-Individually assessed learning activities
-Final exam, units 1 and 2
-Final exam, unit 3.
For students who have to retake the course but can only sit the final exam, 100% of their marks for the subject will correspond to their marks on those final exams. These students will sit the exam corresponding to unit 3 with the other students and, on that same date, the other exam for units 1 and 2. For the remaining students, their marks on all the different assessment components will be considered to determine their final marks for the subject.
Bibliography
Any basic mathematical text applied to social sciences and economics can be useful to enhance the learning process in this course. Below are a few such texts students can consult:
Sydsaeter, K. and Hammond, P. Essential Mathematics for Economic Analysis. Ed Pearson, Fourth Edition 2012
Pemberton, M. and Rau, N. Mathematics for Economists: An Introductory Textbook. Ed Manchester University Press, Third Edition 2013
Hoffmann, L.; Bradley, G and Rosen, K. Applied Calculus for Business, Economics and the Social and Life Sciences. Ed McGraw-Hill, 2004
Renshaw, Geoff. Maths for economics. Oxford University Press. 3rd edition. 2012
Timetable and sections
| Group |
Teacher |
Department |
| Year 1 |
Xari Rovira Llobera |
Operaciones, Innovación y Data Sciences |
Timetable Year 1
From 2022/9/5 to 2022/9/21:
Each Monday from 14:45 to 15:45.
Each Monday from 15:45 to 17:15.
From Wednesday to Thursday from 14:45 to 17:15. (Except: 2022/9/7 and 2022/9/15)
From 2022/10/3 to 2022/10/13:
Each Monday from 14:45 to 15:45.
Each Monday from 15:45 to 17:15.
From Wednesday to Thursday from 14:45 to 17:15. (Except: 2022/10/6 and 2022/10/12)
From 2022/10/17 to 2022/10/31:
Each Monday from 14:45 to 15:45. (Except: 2022/10/17)
Each Monday from 8:45 to 12:45. (Except: 2022/10/24 and 2022/10/31)
Each Monday from 8:45 to 12:00. (Except: 2022/10/24 and 2022/10/31)
From 2022/10/24 to 2022/11/2:
Each Monday from 15:45 to 17:15.
From Wednesday to Thursday from 14:45 to 17:15. (Except: 2022/10/26)
From 2022/11/14 to 2022/12/5:
Each Monday from 15:30 to 16:30. (Except: 2022/11/14, 2022/11/21 and 2022/11/28)
Each Monday from 14:45 to 15:45. (Except: 2022/12/5)
Each Monday from 15:45 to 17:15. (Except: 2022/12/5)
Each Wednesday from 14:45 to 17:15.
From 2022/12/5 to 2022/12/12:
Each Monday from 16:30 to 17:30. (Except: 2022/12/12)
Each Monday from 8:15 to 11:30. (Except: 2022/12/5)
Each Monday from 8:15 to 12:15. (Except: 2022/12/5)
Each Monday from 17:30 to 18:30. (Except: 2022/12/12)
