Applied Mathematics for Management (2215.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, ESP |
| Year 1 |
Núria Agell Jané |
Operaciones, Innovación y Data Sciences |
CAT, ESP |
Prerequisites
Basic knowledge of variable functions and resolving systems of linear equations.
Workload distribution
Synchronous sessions: 20 2.5-hour sessions
Independent study and tutorials: 100 hours
COURSE CONTRIBUTION TO PROGRAM
Mathematics is an essential tool for quantitative information analysis, 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.
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 to apply them over the course of their academic and professional careers.
- Use mathematical reasoning and demonstrate basic propositions.
- Demonstrate rigorous deductive processes.
Competences
| 5. Ability for continuous learning/Ability to learn continually |
| 4. Conveying information and/or knowledge |
| 2. Application of knowledge to achieve results |
| 1. Knowledge acquisition, comprehension and structuring |
CONTENT
1. Matrices Aims of this unit:
Upon completing this section, students should be able to:
-Master matrix calculus language and fluidly use symbolic notations.
-Know how to resolve problems that include matrices.
-Understand and know how to apply square matrix diagonalisation processes.
Content:
Topic 1. Square matrix diagonalisation.
Topic 2. Application of square matrices: Scalars.
|
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. Real functions. Limits and continuity.
Topic 4. Derivative of a function. Taylor series. Optimisation processes.
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 functios. Level curves.
Topic 7. Partial derivatives.
Topic 8. Extremes of a two-variable function.
Topic 9. Constrained optimisation of functions. Graphical solution.
Topic 10. Double integrals.
|
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 test included as part of their ongoing assessment marks.
ASSESSMENT
ASSESSMENT BREAKDOWN
| Description |
% |
| Class participation. Group interactions and teamwork |
15 |
| Tests |
10 |
| Individual practical assignments |
25 |
| Final exam, units 1 and 2 |
20 |
| Final exam, unit 3 |
30 |
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.
15% - Class participation: Team interaction and teamwork: dedication, involvement, effort and collaboration
10% - Tests
25% - Individually assessed learning activities
20% - Final exam, units 1 and 2
30% - 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 |
| Year 1 |
Núria Agell Jané |
Operaciones, Innovación y Data Sciences |
Timetable Year 1
From 2021/9/6 to 2021/9/13:
Each Monday from 8:00 to 9:00. (Except: 2021/9/6)
Each Monday from 8:00 to 9:30. (Except: 2021/9/13)
Each Thursday from 8:00 to 10:30.
Each Monday from 9:30 to 10:30. (Except: 2021/9/13)
Each Tuesday from 16:00 to 17:00.
Each Tuesday from 17:00 to 18:00.
Each Monday from 9:00 to 10:30. (Except: 2021/9/6)
From 2021/9/13 to 2021/10/14:
Each Monday from 8:00 to 9:00. (Except: 2021/9/13)
Each Thursday from 8:00 to 10:30.
Each Wednesday from 13:30 to 14:30.
Each Monday from 9:00 to 10:30.
From 2021/10/19 to 2021/10/28:
Each Monday from 8:00 to 9:00.
Each Thursday from 8:00 to 10:30. (Except: 2021/10/21)
Each Tuesday from 8:45 to 12:45. (Except: 2021/10/26)
Each Tuesday from 8:45 to 12:00. (Except: 2021/10/26)
Each Wednesday from 13:30 to 14:30. (Except: 2021/10/20)
Each Monday from 9:00 to 10:30.
From 2021/10/27 to 2021/12/1:
Each Monday from 8:00 to 9:00. (Except: 2021/11/1 and 2021/11/29)
Each Monday from 9:00 to 10:30. (Except: 2021/11/1 and 2021/11/29)
Each Wednesday from 13:30 to 14:30.
From 2021/11/11 to 2021/11/25:
Each Thursday from 8:00 to 10:30.
Monday2021/12/13:
From 8:15 to 11:30.
From 8:15 to 12:15.
Tuesday2022/6/28:
From 8:45 to 12:45.
From 8:45 to 12:00.
