Checking date: 20/06/2022

Versión en español

Course: 2022/2023

Numerical Methods
(18312)
Bachelor in Engineering Physics (Plan: 434 - Estudio: 363)


Coordinating teacher: GONZALEZ RODRIGUEZ, PEDRO

Department assigned to the subject: Mathematics Department

Type: Basic Core
ECTS Credits: 6.0 ECTS

Course: 2º
Semester: 2º

Branch of knowledge: Engineering and Architecture


Requirements (Subjects that are assumed to be known)
Calculus I Calculus II Linear Algebra Differential equations
Skills and learning outcomes
Link to document

Description of contents: programme
1. Fundamentals (floating point, errors, stability, algorithms...). 2. Numerical solution of equations and systems of nonlinear equations. 3. Interpolation and approximation of functions. 4. Numerical differentiation and integration. 5. Fast Fourier Transform. 6. Methods for ordinary differential equations 7. Methods for partial differential equations 8. Numerical linear algebra.
Learning activities and methodology
AF1. THEORETICAL-PRACTICAL CLASSES. Knowledge and concepts students mustacquire. Receive course notes and will have basic reference texts.Students partake in exercises to resolve practical problems AF2. TUTORING SESSIONS. Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.Subjects with 6 credits have 4 hours of tutoring/ 100% on- site attendance. AF3. STUDENT INDIVIDUAL WORK OR GROUP WORK.Subjects with 6 credits have 98 hours/0% on-site. AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. AF9. FINAL EXAM. Global assessment of knowledge, skills and capacities acquired throughout the course. It entails 4 hours/100% on-site AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction. MD1. THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject`s main concepts are developed, while providing material and bibliography to complement student learning MD2. PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group MD3. TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with teacher as tutor. Subjects with 6 credits have 4 hours of tutoring/100% on-site. MD6. LABORATORY PRACTICAL SESSIONS. Applied/experimental learning/teaching in workshops and laboratories under the tutor's supervision.
Assessment System
  • % end-of-term-examination 30
  • % of continuous assessment (assigments, laboratory, practicals...) 70
Calendar of Continuous assessment
Basic Bibliography
  • Kendall E. Atkinson. An introduction to numerical analysis. John Wiley and Sons. 1989
  • Qingkai Kong, Timmy Siauw, Alexandre Bayen . Python Programming and Numerical Methods_ A Guide for Engineers and Scientist. Academic Press. 2020
  • Ward Cheney y David Kincaid. Numerical mathematics and computing. Thomson Brooks/Cole. 2008
Additional Bibliography
  • J. C. Butcher. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS. Wiley. 2016

The course syllabus may change due academic events or other reasons.


More information: https://matematicas.uc3m.es/index.php/pgonzalezr-page