# TMA4215 - Numerical Mathematics

### Examination arrangement

Examination arrangement: Portfolio assessment

Evaluation Weighting Duration Grade deviation Examination aids
Work 30/100
School exam 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 the course is attended by students who don't master a Scandinavian language. 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

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
SIF5048 7.5
MA2501 7.5 SPRING 2006
More on the course

Facts

Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
• Mathematics
• Technological subjects
Contact information
Course coordinator:

Department of Mathematical Sciences

# Examination

#### Examination arrangement: Portfolio assessment

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD Work 30/100
Autumn ORD School exam 70/100 2021-12-10 09:00
Summer UTS Work 30/100
Summer UTS School exam 70/100
• * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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