course-details-portlet

IMAA2012

Mathematics for engineering 2 A

Assessments and mandatory activities may be changed until September 20th.

Credits 7.5
Level Intermediate course, level II
Course start Spring 2026
Duration 1 semester
Language of instruction Norwegian
Location Ålesund
Examination arrangement School exam

About

About the course

Course content

Basis module. Functions of several variables. Partial differentiation, gradient. Critical points and optimization. Taylor’s theorem with remainder. Introduction to partial differential equations: examples and solutions.

Laplace transform. Computation by hand and computer. Applications of the Laplace transform to differential equations and signal processing.

Programme module. Trigonometric series and Fourier series. Applications to 1D wave equation with separation of variables. Fourier transform. Computation by hand and computer. Applications of Fourier transforms. Spectral analysis (e.g. sound and light waves). Applications to solution of differential equations, including harmonic motion with external periodic forcing.

Learning outcome

Knowledge

The candidate has good knowledge of:

  • Functions of several variables, including partial derivatives and their application to classification of stationary points and optimization.
  • Taylor’s theorem and approximation by Taylor series.
  • Laplace transforms and applications to differential equations and signal processing.
  • Series representations and approximations to functions, particularly Taylor and Fourier series.
  • Fourier transforms and applications to spectral analysis
  • Digital tools for analysis of mathematical problems

Abilities

The candidate can:

  • Find and interpret the partial derivatives of a function of several variables
  • Approximate functions by Taylor’s theorem and estimate the error with a remainder term.
  • Solve simple optimization problems with several variables.
  • Verify that a given function solves a partial differential equation
  • Laplace transform certain functions with applications to solution of differential equations and signal processing
  • Compute Fourier coefficients of functions
  • Fourier transform certain functions with applications to solution of differential equations and spectral analysis
  • Apply digital tools to analyse mathematical problems.

General competence

The candidate:

  • Has good knowledge of, and can apply a symbolic and formulaic mathematical apparatus that is relevant for communication in engineering sciences
  • Has experience with applications of mathematical methods and digital tools to problems with their own and related specializations.
  • Can connect mathematical concepts and techniques to models the candidate meets within and outside of their studies.

Learning methods and activities

Lectures, exercises and a project.

Tasks require both analytical and numerical methods with the use of digital tools.

Compulsory assignments

  • Compulsory assignments (exercises and a project)

Further on evaluation

4 hours individual digital exam in Inspera with grading scale A-F.

The compulsory assignments must be passed in order to take the exam. Approved exercises from previous years are automatically approved by the department.

Allowable exam aids: Simple calculator (code D in the NTNU guidelines).

Resit exam in August. Resit exam may be given as an oral examination.

Course materials

Recommended course material will be announced at the start of the semester.

Credit reductions

Course code Reduction From
IMAT2012 7.5 sp Autumn 2023
IMAG2012 7.5 sp Autumn 2023
IMAG2011 5.5 sp Autumn 2023
IMAA2011 5.5 sp Autumn 2023
IMAT2011 5.5 sp Autumn 2023
IMAG2021 2 sp Autumn 2023
IMAA2021 2 sp Autumn 2023
IMAT2021 2 sp Autumn 2023
IMAG2031 2 sp Autumn 2023
IMAA2031 2 sp Autumn 2023
IMAT2031 2 sp Autumn 2023
IMAG2150 1 sp Autumn 2024
IMAT2150 1 sp Autumn 2024
IMAA2150 1 sp Autumn 2024
IMAA2100 2 sp Autumn 2024
IMAG2100 2 sp Autumn 2024
IMAT2100 2 sp Autumn 2024
IMAG2022 5 sp Autumn 2025
IMAT2022 5 sp Autumn 2025
IMAA2022 5 sp Autumn 2025
IMAG2023 2.5 sp Autumn 2025
IMAT2023 2.5 sp Autumn 2025
IMAA2023 2.5 sp Autumn 2025
IMAG2024 2.5 sp Autumn 2025
IMAT2024 2.5 sp Autumn 2025
IMAA2024 2.5 sp Autumn 2025
TMA4410 3.5 sp Autumn 2025
TMA4411 4 sp Autumn 2025
MA1103 3.5 sp Autumn 2025
MA2106 4 sp Autumn 2025
This course has academic overlap with the courses 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

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Spring 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.

Re-sit examination - Summer 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.