# IMAG1002 - Mathematics for engineering 1

New from the academic year 2023/2024

### Examination arrangement

Examination arrangement: School exam

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours C

### Course content

The course provides an introduction to basic theory and methods in mathematics that are relevant for all engineering disciplines.

The mathematical topics in the course are:

Linear algebra

• Solving systems of equations
• Simple matrix calculus and linear transformations
• Vector space, subspace, basis, linear dependence
• Eigenvalues and eigenvectors

Calculus

• Differentiation and integration
• 1st order ordinary differential equations
• 2nd order ordinary differential equations and systems of 1st order ordinary differential equations

Complex numbers

• Cartesian and polar form
• Applications to eigenvalues and 2nd order differential equations

### Learning outcome

Knowledge

The candidate has good knowledge of

• basic concepts from linear algebra such as linear system, matrix, basis, vector space, eigenvector and eigenvalue.
• linear transformations and their representations in matrix form.
• basic concepts from calculus and differential equations such as the derivative of a function, integral, solution of a differential equation, linear, first and second order differential equations.
• the correspondence between second-order differential equations and systems of first-order differential equations.
• complex numbers and some representations thereof, and how they can be used in applied mathematics.
• some engineering applications of mathematics

Skills

The candidate

• can solve simple problems in linear algebra analytically, a.o. solve systems of linear equations and find eigenvalues ​​and eigenvectors of smaller matrices.
• can interpret solutions of linear systems of equations geometrically for 2x2 and 3x3 matrices.
• can represent linear transformations both geometrically and algebraically.
• can solve systems of linear equations and find eigenvalues ​​and eigenvectors, including complex eigenvalues, using digital tools.
• can solve 1st order separable differential equations and 2nd order linear differential equations with constant coefficients.
• can solve ordinary differential equations using digital tools, and can interpret results of numerical computations.

General competence

The candidate

• knows and can use mathematical symbols and formulas for communication in engineering.
• can assess own and other students' academic work, and give oral assessments in an academically correct and precise manner.
• knows and can apply mathematical methods to problems from own and adjacent subject areas.
• is familiar with applications of mathematical concepts and techniques in models that the candidate encounters within and outside the studies.

### Learning methods and activities

Lectures, individual exercises and group work.

In addition to regular lectures, short lectures will be held with a focus on applications.

Compulsory assignments

The compulsory assignments consist of two parts:

• Compulsory exercises that are based on both analytical and numerical solution of problems and interpretation of the results. The assignments include tasks to be solved with the help of digital tools.
• Compulsory group work with focus on problems from the engineering profession.

Special conditions

Obligatory activities from previous semesters can be accepted by the institute.

### Compulsory assignments

• Compulsory assignments (exercises and group work)

### Further on evaluation

A continuation exam is held in August for the written school exam (under supervision). Retake of examination 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 To
IMAT1002 7.5 AUTUMN 2023
IMAA1002 7.5 AUTUMN 2023
IMAG1001 5.0 AUTUMN 2023
IMAA1001 5.0 AUTUMN 2023
IMAT1001 5.0 AUTUMN 2023
IMAG2011 2.5 AUTUMN 2023
IMAA2011 2.5 AUTUMN 2023
IMAT2011 2.5 AUTUMN 2023
IMAG2021 2.5 AUTUMN 2023
IMAA2021 2.5 AUTUMN 2023
IMAT2021 2.5 AUTUMN 2023
IMAG2031 2.5 AUTUMN 2023
IMAA2031 2.5 AUTUMN 2023
IMAT2031 2.5 AUTUMN 2023
More on the course
Facts

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

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2023

Language of instruction: Norwegian

Location: Gjøvik

Subject area(s)
• Mathematics
Contact information
Course coordinator: Lecturer(s):

Department of Mathematical Sciences

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 100/100 2023-12-22 09:00
Summer UTS School exam 100/100
• * 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.
Examination

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

More on examinations at NTNU