# 2023/2024

## Recommended prerequisite for participation in the module

No special prerequisites for the module.

## Content, progress and pedagogy of the module

Objectives:

Introduction of the mathematics needed for media technology applications.

### Learning objectives

#### Knowledge

Students who complete the course module will obtain the following qualifications:

• Understand trigonometric functions and identities
• Understand logarithmic and exponential functions
• Understand differentiation and integration of functions of one variable, including numerical methods
• Understand vectors and basic vector operations, dot product and cross product
• Understand  basic geometry in 2 and 3 dimensions: points and distance; lines, planes, spheres and their intersections
• Understand parametric curves: position, velocity and acceleration
• Understand matrices, basic matrix operations and linear transformations
• Understand systems of linear equations
• Understand matrix inversion
• Understand the relevance and application of mathematics to modeling and understanding systems and phenomenon

#### Skills

Students who complete the course module will obtain the following qualifications:

• Ability to perform basic algebraic calculations (application)
• Ability to work with trigonometric, logarithmic and exponential functions (application)
• Ability to calculate derivatives of functions of one variable (application)
• Ability to calculate integrals of functions of one variable (application)
• Ability to perform calculations involving vectors, vector operations, matrices and matrix operations (application)
• Ability to determine equations for lines, spheres and planes, to calculate intersections and find distances (application)
• Ability to differentiate and integrate vector functions (application)
• Ability to determine solvability and complete solutions for systems of linear equations (application)
• Ability to determine the invertability of a small square matrix and its inverse if it exists (application).

### Type of instruction

Refer to the overview of instruction types listed in the start of chapter 3. The types of instruction for this course are decided in accordance with the current Joint Programme Regulations and directions are decided and given by the Study Board for Media Technology.

## Exam

### Exams

 Name of exam Mathematics for Multimedia Applications Type of exam Written exam In accordance with the current Joint Programme Regulations and directions on examination from the Study Board for Media Technology: To be eligible to take the exam the student must have fulfilled: • handing in of written assignments or the like • completion of certain – or all – study activities Note that if admittance to the exam or parts of the assessment is to be based on written work or exercises, a deadline is stipulated for when the work must be handed in. If the student hands in a paper/exercise after the deadline, the student has used an examination attempt. Individual written examination with internal censor. The assessment is performed in accordance with the 7-point grading scale. ECTS 5 Permitted aids With certain aids: See semester description Assessment 7-point grading scale Type of grading Internal examination Criteria of assessment The criteria of assessment are stated in the Examination Policies and Procedures

## Facts about the module

 Danish title Matematik til multimedie-applikationer Module code MSNMEDB2173 Module type Course Duration 1 semester Semester Spring ECTS 5 Language of instruction English Location of the lecture Campus Aalborg, Campus Copenhagen Responsible for the module Claus Brøndgaard Madsen

## Organisation

 Study Board Study Board of Media Technology Department Department of Architecture, Design and Media Technology Faculty The Technical Faculty of IT and Design