Recommended prerequisite for participation in 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 Framework Provisions and directions are decided and given by the Study Board for Media Technology.

Exam

Exams