Mathematics for Multimedia Applications

2018/2019

Prerequisite/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 examMathematics 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.
ECTS5
Permitted aids
With certain aids:
See semester description
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentThe criteria for the evaluation are specified in the Joint Programme Regulations.

Facts about the module

Danish titleMatematik til multimedie-applikationer
Module codeMSNMEDB2173
Module typeCourse
Duration1 semester
SemesterSpring
ECTS5
Language of instructionEnglish
Location of the lectureCampus Aalborg, Campus Copenhagen
Responsible for the module

Organisation

Study BoardStudy Board of Media Technology
FacultyTechnical Faculty of IT and Design