Course - Mathematics for engineering 1 - VB6040
VB6040 - Mathematics for engineering 1
About
New from the academic year 2024/2025
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| 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.
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
- Exercises
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.
Specific conditions
Admission to a programme of study is required:
Continuing Education, Faculty of Engineering Science and Technology (EVUIVE0)
Recommended previous knowledge
Similar to bachelor in engineering.
Course materials
Recommended course material will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| IMAG1002 | 7.5 | AUTUMN 2024 | |
| IMAG1001 | 5.0 | AUTUMN 2024 | |
| IMAA1001 | 5.0 | AUTUMN 2024 | |
| IMAT1001 | 5.0 | AUTUMN 2024 | |
| IMAG2011 | 2.5 | AUTUMN 2024 | |
| IMAA2011 | 2.5 | AUTUMN 2024 | |
| IMAT2011 | 2.5 | AUTUMN 2024 | |
| IMAG2021 | 2.5 | AUTUMN 2024 | |
| IMAA2021 | 2.5 | AUTUMN 2024 | |
| IMAT2021 | 2.5 | AUTUMN 2024 | |
| IMAG2031 | 2.5 | AUTUMN 2024 | |
| IMAT2031 | 2.5 | AUTUMN 2024 | |
| IMAT1002 | 7.5 | AUTUMN 2024 | |
| IMAA1002 | 7.5 | AUTUMN 2024 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2024
Language of instruction: Norwegian
Location: Gjøvik
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Department with administrative responsibility
Section for quality in education and learning environment
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 C 2024-12-10 09:00 PAPIR
-
Room Building Number of candidates M433-Eksamensrom 4.etg Mustad, Inngang A 8 - Summer UTS School exam 100/100 C INSPERA
-
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"