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Syllabus 2016-17 - 11112023 - Mathematics 2 (Matemáticas II)

Caption
  • Level 1: Tutorial support sessions, materials and exams in this language
  • Level 2: Tutorial support sessions, materials, exams and seminars in this language
  • Level 3: Tutorial support sessions, materials, exams, seminars and regular lectures in this language
DEGREE: Grado en Administración y dirección de empresas (11112023)
FACULTY: FACULTY OF LAW AND SOCIAL SCIENCES
DEGREE: Grado en Finanzas y contabilidad (11312021)
FACULTY: FACULTY OF LAW AND SOCIAL SCIENCES
ACADEMIC YEAR: 2016-17
COURSE: Mathematics 2
SYLLABUS
1. COURSE BASIC INFORMATION
NAME: Mathematics 2
CODE: 11112023 (*) ACADEMIC YEAR: 2016-17
LANGUAGE: English LEVEL: 3
ECTS CREDITS: 6.0 YEAR: 2 SEMESTER: PC
2. LECTURER BASIC INFORMATION
NAME: JÓDAR REYES, JOAQUÍN
DEPARTMENT: U124 - MATEMÁTICAS
FIELD OF STUDY: 595 - MATEMÁTICA APLICADA
OFFICE NO.: B3 - 037 E-MAIL: jjodar@ujaen.es P: 953212934
WEBSITE: http://www4.ujaen.es/~jjodar/
ORCID: https://orcid.org/0000-0002-8421-019X
LANGUAGE: - LEVEL: 3
3. CONTENT DESCRIPTION

Differential and integral Calculus of several variables with applications to Economics. Introduction to differential equations.

THEORETICAL CONTENTS

Unit 1. Limits and continuity of real functions of several variables. The space R^n. Real functions of several variables. Limit of a real function of several variables. Continuity of a real function of several variables.

Unit 2. Differentiability of real functions of several variables. Partial derivatives. Directional derivatives. Differential of a real function of several variables. Applications to Economics.

Unit 3. Vectorial functions. Limit, continuity and derivatives of a vectorial function. Chain rule. Homogeneous functions. Applications to Economics.

Unit 4. Optimization of real functions of several variables. Quadratic forms. Unconstrained optimization. Optimization with equality constraints. Applications to Economics.

Unit 5. Integration of real functions of several variables. Double integral construction. Double integral on rectangular domains. Double integral on bounded domains.

Unit 6. Introduction to differential equations. Basic concepts and notation. Integration methods for some types of first and second order ordinary differential equations. Applications to Economics.

PRACTICAL CONTENTS

Written exercises and computer sessions related to the theoretical contents.

 

4. COURSE DESCRIPTION AND TEACHING METHODOLOGY

Lectures (M1, M3, M4, M5): Theoretical contents and related practical examples will be developed in these sessions.

 

Seminars (M6, M7, M8, M10, M12, M13): 15 one-hour long classroom sessions will be devoted for solving problems, with special emphasis on applications to Economics. Additionally, 15 one-hour long computer lab sessions will be devoted for solving problems by using the software Mathematica.

Students with special educational needs should contact the Student Attention Service (Servicio de Atención y Ayudas al Estudiante) in order to receive the appropriate academic support

5. ASSESSMENT METHODOLOGY

  1. Detail:

* S1. ACTIVE ATTENDANCE: 0.5 points (5%): 0.5 points will be divided by the total number of hours attended. Learning results R2 and R3.

* S2. THEORETICAL CONCEPTS: 6.0 points (60%): Final written exam about the theoretical concepts and related exercises. Learning results R1 and R4.

* S3. CLASSROOM EXERCISES: 2 points (20%): Short classroom tests. Learning results R1 and R3.

*S4. COMPUTER LAB PRACTICES: 1.5 points (15%): Final computer exam. Computer guidelines may be used in the exam. Learning results R1 and R3.

 

  1. Marks from S1 and S3 will be maintained during the current academic year. Students who attend the final written exam (S2) and/or the final computer exam (S4) will appear as 'SHOWN' in the grade list for the corresponding official exam call.

 

  1. The final continuous grade will be the sum of the marks obtained from S1, S2, S3, S4.

 

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A final alternative grade given by the sum of the marks of the final written exam and the final computer exam, weighted 80% and 20%, respectively, will be considerated for each student at each official exam call.

 

The final student grade will be the maximum of the final continuous student grade and the final alternative student one at each official exam call.

6. BOOKLIST
MAIN BOOKLIST:
  • Essential Mathematics for Economic Analysis. Edition: -. Author: Sydsaeter, K. , Hammond, P., Strom, A., Carvajal. Publisher: Pearson.  (Library)
  • Calculus with Analytic Geometry. Edition: -. Author: Larson, R.E.: Hostetler, R.P.; Edwards, B.H.. Publisher: McGraw-Hill. London.  (Library)