# TMA4215 - Numerical Mathematics

### Examination arrangement

Examination arrangement: Portfolio assessment

Evaluation form Weighting Duration Examination aids Grade deviation
Work 30/100
Written examination 70/100 4 hours C

### Course content

Error analysis. Approximation of functions. Numerical quadrature. Numerical linear algebra. Numerical solution of nonlinear equations. Numerical solution of ordinary differential equations.

### Learning outcome

1. Knowledge. The student has knowledge of basic numerical methods for approximation of functions, numerical quadrature, numerical solution of ordinary differential equations, and numerical solution of linear and nonlinear equations. The student masters error analysis of numerical methods and understands the concepts stability and convergence.

2. Skills. The student masters basic techniques for analyzing a large selection of numerical algorithms. The student is able to implement the algorithms in a chosen programming language, set up numerical experiments and interpret the results. The student has established sound routines for quality assurance in implemented algorithms.

3. General competence. The student can describe the chosen scientific method and communicate his or her findings in a written scientific report using precise language.

### Learning methods and activities

Lectures and exercises. The exercises require the use of a computer. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (70%) and a term project (30%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination. All teaching materials are available in English. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students. Students are free to choose Norwegian or English for written assessments.

• Exercises

### Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation. see «Teaching methods and activities».

### Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

### Course materials

Will be announced at the start of the course.

### Credit reductions

Course code Reduction From To
MA2501 7.5 2006-08-01
SIF5048 7.5
TMA4320 2.5 2015-09-01 2015-12-31

# Timetable

Detailed timetable

# Examination

Examination arrangement: Portfolio assessment

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Autumn ORD Work 30/100
Autumn ORD Written examination 70/100 C 2017-12-16 09:00
• * The location (room) for a written examination is published 3 days before examination date.
If more than one room is listed, you will find your room at Studentweb.