course-details-portlet

MA6004

Algebra, Functions and Modelling

Credits 7.5
Level Further education, lower degree level
Course start Autumn 2022
Duration 1 semester
Language of instruction Norwegian
Location Trondheim
Examination arrangement Aggregate score

About

About the course

Course content

This course gives an introduction to properties of functions of one variable, and basic linear algebra. Using mathematics to describe extra-mathematical situations (modelling) is a central topic. Use of digital tools, including programming, will be included. Aspects related to teaching algebra and functions will also be included.

Learning outcome

After having completed the course, the candidate is expected to have acquired learning outcome, defined as knowledge, skills and general competence as specified below:

Knowledge

The candidate has

  • basic knowledge about modelling as a way of working in mathematics,
  • good knowledge about important functions, such as polynomials, rational functions, trigonometric functions, exponential and logarithmic functions, and their properties,
  • basic knowledge about differentiation and integrations, and applications of these concepts,
  • basic knowledge about differential equations and their applications,
  • basic knowledges about matrices and their applications,
  • basic knowledge about numerical solutions of algebraic equations and differential equations.

Skills

The candidate is able to

  • use integration and differentiation to analyse properties of functions,
  • model situations from nature and society using mathematical concepts and methods, and assess the validity of these models,
  • solve problems using both algebraic and numerical techniques, and use digital tools, including simple programming, in this work,
  • assess whether results obtained using digital techniques are reasonable.

General competence

The candidate has acquired

  • a good basis for studying more advance mathematical courses,
  • good knowledge about mathematical topics and use of digital aids, relevant for teaching mathematics in grades 8-13.

Learning methods and activities

The teaching is concentrated in seminars, accompanied by Internet based tutoring. Printed and digital learning resources are available as books, articles and videos.

Further on evaluation

Assessment is based on a written school exam, counting 70 %, and project work, counting 30 %. The project work is based on tasks that must be completed. Both components must be given a pass grade.

Specific conditions

Admission to a programme of study is required:
- (KMA1-8-13)
Matematikk DELTA (KDELTA)

Required previous knowledge

To be admitted to the course, previous knowledge corresponding to R1 from Norwegian upper secondary school must be documented.

Course materials

Announced at the start of the semester.

Credit reductions

Course code Reduction From
MA6001 7.5 sp Autumn 2021
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics

Contact information

Course coordinator

Lecturers

Department with academic responsibility

Department of Mathematical Sciences

Department with administrative responsibility

Centre for Continuing Education and Professional Development

Examination

Examination

Examination arrangement: Aggregate score
Grade: Letter grades

Ordinary examination - Autumn 2022

School exam
Weighting 70/100 Examination aids Code A Date 2022-12-22 Time 09:00 Duration 4 hours Exam system Inspera Assessment
Place and room for school exam

The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.

Sluppenvegen 14
Room SL310 hvit sone
14 candidates
Assignment
Weighting 30/100 Date Submission 2022-12-05 Time Submission 23:59 Exam system Inspera Assessment