AR101015 - Mathematical problem solving


Examination arrangement

Examination arrangement: Portfolio
Grade: Letters

Evaluation Weighting Duration Grade deviation Examination aids
Portfolio 100/100

Course content

As it follows from the learning outcomes.

Learning outcome

Knowledge: The candidate shall

  1. know the relationship between abstract mathematical models and real, concrete problems in business and market analysis.
  2. have a holistic understanding of the problems mentioned under skills, and know different solution strategies where relevant.
  3. know what average and marginal cost tell about profitability.

Skills: The candidate shall

  1. be able to compute interest and financial problems using exponential and logarithmic functions as well as geometric series.
  2. be able to solve cost and income problems based on linear and quadratic functions.
  3. be able to solve equilibrium problems using equations.
  4. be able to analyse and discuss polynomial functions, incl. differentiation, optimisation and identification of zeroes. 5. be able to use algebraic formulations to make general conclusions.

The candidate should

  1. be able to discuss and analyse rational, exponential and logarithmic functions.
  2. be able solve abstract and algebraic problems within the areas listed above.
  3. be able to transfer the listed solution techniques to new classes of problems.

Competence: The candidate shall

  1. be able to communication with and within mathematics.
  2. be able to mathematise, i.e. find soluble mathematical formulations for real problems.
  3. know what the can and can't do with mathematics and understand what role mathematics will play in their own studies and career.
  4. be able to validate own mathematical solutions and arguments

Learning methods and activities

Pedagogical methods: Composite sessions with group work and practice exercises, and plenary briefing and debriefing. The module emphasises cooperative learning, discussion and action-reflection, and continuous dialog both between students and between students and lecturer.

Compulsory assignment: Selected exercises (individual and group work) will be compulsory. Mandatory assignments from the current or immediately preceding academic year must be approved to gain admission to the exam. The assignments are closely linked to the organised teaching and start shortly after the start of the semester. It is required that the students follow the module from the start of term. Only limited flexibility is possible in the event of illness and similar mitigating circumstances.

Compulsory assignments

  • Oblig

Further on evaluation

The final portfolio has to comprise

1. Solutions for a selection of problems covering the 3-4 main topics in the syllabus.

2. An action reflection essay, comprising

a) Self assessment, where the student take a position on what they have learnt with respect to the learning outcomes and what grade this merits.

b) Reflection upon the problems and solutions. What have you learnt and why is this useful for you? What makes the exercise important to you?

It is the student's responsibility to compose the portfolio so that it documents achievement of the learning outcomes.

Further details and grading directions will be made available as a part of the learning materials in the module.

Students who are going to be assessed, have to register for the teaching in order to get continuous updates and details about the assessment through the official LMS of NTNU.

Specific conditions

Compulsory activities from previous semester may be approved by the department.

Admission to a programme of study is required:
Biomarine innovation (298BMI)
Business Management (162AL)
Marketing, Innovation and Management (359ML)
Shipping Management (SØ160)
Shipping management (432SM)

Required previous knowledge

General admission

Course materials

Learning materials and reading lists will be provided when teaching commences. 

More on the course



Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I


Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: Norwegian

Location: Ålesund

Subject area(s)
  • Mathematics
Contact information

Department with academic responsibility
Department of ICT and Natural Sciences


Examination arrangement: Portfolio

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Portfolio 100/100





Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU