Course syllabus

# Geometri Geometry

## FMA135, 6 credits, G1 (First Cycle)

Valid for: 2013/14
Decided by: Education Board B
Date of Decision: 2013-04-10

## General Information

Main field: Technology.
Elective for: C4, D4, D4-bg, E4, E4-bg, F1, F4-bg, Pi1
Language of instruction: The course will be given in English on demand

## Aim

The aim of the course is to introduce geometrical concepts which are of importance in modern engineering applications, e.g. computer aided design (CAD), computer aided manufacturing (CAM), computer graphics and computer vision, and to give examples of their use. A subgoal is to study how geometrical objects can be described numerically in a neat way.

## Learning outcomes

Knowledge and understanding
For a passing grade the student must

be able to explain the basic parts of the theory.

exhibit understanding of some different algorithms in computer geometry.

show knowledge of and understanding of the properties of different concepts in projective geometry, and be aware of how they appear in applications.

Competences and skills
For a passing grade the student must

be able to integrate methods and views from different parts of the course to solve problems and answer questions within the framework of the course.

be able to write Matlab programs to solve mathematical problems within the course.

be able to explain the solution to a mathematical problem within the course, in writing and orally, with clear logic and using proper terminology.

## Contents

• Curves and surfaces. Some basic differential geometry. Bezier curves. Interpolation.
• Projective geometry. Perspective.

## Examination details

Assessment: First part of the course: Computer session and take-home exam. Second part of the course: Home assignments. Oral exam for those students who want a higher grade than a pass.

Parts
Code: 0113. Name: Geometry, Laboratory Work.
Credits: 0. Grading scale: UG. Assessment: Take-home exam
Code: 0213. Name: Geometry, Geometrical Design.
Credits: 3. Grading scale: TH. Assessment: Take-home exam.
Code: 0313. Name: Geometry, Projective Geometry.
Credits: 3. Grading scale: TH. Assessment: Satisfactory solutions to homework problems are a necessary and sufficient condition for the grade 3. To obtain a higher grade the student has to pass an oral examination.

Required prior knowledge: Linear algebra, and derivatives from one variable calculus.
The number of participants is limited to: No
The course overlaps following course/s: FMN100