Public University of Navarre



Castellano | Academic year: 2025/2026 | Previous academic years:  2024/2025  |  2023/2024  |  2022/2023  |  2021/2022 
Double Bachelor's Degree in Data Science and Management, Business Administration at the Universidad Pública de Navarra
Course code: 507209 Subject title: NUMERICAL METHODS
Credits: 6 Type of subject: Mandatory Year: 2 Period: 2º S
Department: Estadística, Informática y Matemáticas
Lecturers:
HIGUERAS SANZ, M. INMACULADA (Resp)   [Mentoring ] ARRARAS VENTURA, ANDRÉS   [Mentoring ]

Partes de este texto:

 

Module/Subject matter

  • Module Level 1: Mathematics
  • Module Level 2: Advanced Mathematics

Up

Contents

Introduction to numerical techniques. Direct and iterative methods for linear systems. Methods for nonlinear equations and systems. Interpolation. Numerical integration. Numerical treatment of differential equations.

Up

General proficiencies

Not applicable

Up

Specific proficiencies

Not applicable

Up

Learning outcomes

RA01. Apply analytical and abstract thinking skills, intuition, and logical reasoning to identify and analyze complex problems, as well as to seek and formulate solutions in a multidisciplinary environment. TYPE: Knowledge or content
 
RA19. Analyze, validate, and interpret mathematical models of real-world situations using tools from multivariable differential and integral calculus, complex variables, integral transforms, and numerical methods to solve them. TYPE: Competencies

 

Up

Methodology

Methodology - Activity 

On-site hours 

Off-site hours 

A1- Interactive lectures 

42 

 

A2- Hands-on learning sessions  

14 

 

A5- Self-study and autonomous work  

 

88 

A6- Tutorials  

 

2 

A7- Assessment tests  

4 

 

Total 

60 

90 

Up

Evaluation

 

Assessment
activity
Weight (%) It allows
test resit
Minimum
required grade
SE1. Written tests 80% Yes 5/10
SE4. Assignments and reports 15% No 0
SE7. Active participation 5% No 0

If the minimum required grade of the written tests is not reached, the final mark will be, at most, 4.9/10

 

Continuous assessment is carried out by means of several written tests distributed throughout the semester as follows:

Ordinary assessment:

Written tests (individual):

  • Test A: lessons 1, 2 and 3, with a weight of 40% in the final grade.
  • Test B: lessons 4 and 5, with a weight of 40% in the final grade.

In order to pass the course, the following two conditions must be fulfilled:

- the average of the grades of Test A and Test B is not less than 5/10;

- the weighted average of the grades of Test A and Test B, the assignments and reports, and the active participation is not less than 5/10 (with the weights indicated in the table).

Resit assessment:

Written test (individual):

  • Test R: lessons 1, 2, 3, 4, and 5, with a weight of 80% in the final grade.

In order to pass the course, the following two conditions must be fulfilled:

- the grade of Test R is not less than 5/10;

- the weighted average of the grades of Test R, the assignments and reports, and the active participation is not less than 5/10 (with the weights indicated in the table).

If a student takes part in a number of assessment activities whose total weight is less than 50%, his/her final grade will be Absent.

Up

Agenda

  1. Introduction to Numerical Analysis. Numerical differentiation.
  2. Numerical solution of linear systems.
  3. Numerical solution of nonlinear equations and systems.
  4. Numerical solution of differential equations.
  5. Interpolation. Numerical integration.

Up

Bibliography

Access the bibliography that your professor has requested from the Library.


Basic bibliography:

  • U.M. Ascher, C. Greif. A First Course in Numerical Methods. SIAM.
  • R.L. Burden, J.D. Faires, A.M. Burden. Numerical Analysis. Brooks-Cole.
  • J.D. Faires, R. Burden. Numerical Methods. Brooks-Cole.
  • J. Kiusalaas. Numerical methods in engineering with Python 3. Cambridge University Press.

 

Additional bibliography:

  • D. Kincaid, W. Cheney. Numerical Analysis. Mathematics of Scientific Computing. American Mathematical Society.
  • A. Quarteroni, R. Sacco, F. Saleri. Numerical Mathematics. Springer.

Up

Languages

English.

Up

Location

Universidad Pública de Navarra, Campus Arrosadía, Pamplona.

Up