## ING2307 Mathematical Methods in Practice

The course will further develop mathematical maturation, provide a good understanding of mathematical tools and significant insight into mathematical ideas that underlie key, practical applications in the service and otherwise in the engineering field of study. Academic content: series and sequences, difference equations, vectors, the Fourier transform, the Laplace transform.

Knowledge

After completing the course, the cadet is able to:

- explain and apply the theory from selected topics in Fourier analysis
- use and understand the theory of the Laplace transform enough to be able to use engineering subjects during his/her service in the Navy
- calculate vectors and understand the importance of vector calculus
- calculate functions of several variables and vector functions/vector fields and explain how this is related to vector calculus
- understand and apply the theory of infinite series, power series and simple methods for solving difference equations

Skills

After completing the course, the cadet is able to:

- understand and use mathematical representations and formulate engineering problems in mathematical form
- use problem solving and model building as a tool for solving tasks in his/her further service
- identify relationships between mathematics and engineering applications and otherwise in his/her studies and analyse results from mathematical calculations
- apply solution methods and implement mathematical reasoning

General competences

After completing the course, the cadet is able to:

- understand relationships between mathematics and engineering applications
- analyse the grade of mathematical understanding that is necessary for serving in the Navy and keeping up to date professionally
- use mathematics to communicate about engineering problems
- understand that the level of precision in mathematical language makes it appropriate for structuring engineering problems and providing openings for solutions

Emphasis is placed on using examples from other technical courses and from service in the Navy to illustrate topics.

Examination is carried out according to the Regulations for Admission, Studies and Examinations (in Norwegian, “Forskrift om opptak, studier og eksamen”) at the Norwegian Defence University College.

Croft, A., Davison, R., Hargreaves, M., & Flint, J. (2017). *Engineering Mathematics – A Foundation for Electronic, Electrical, Communications and System Engineers* (5.utgave). Harlow: Pearson-Education (kap. 6.1-6.5 og 18; 22; 7, 25 and 26; 24.1-24.8; 21.1-10)

Form of assessment | Grouping | Duration | Type of duration | Grading scale | Proportion | Oral examination | Comment | Supported materials |
---|---|---|---|---|---|---|---|---|

Muntlig eksamen | Individual | 35 | Minutes | Percentage | 50 | Not required | Oral exam for about 35minutes, at first in groups of 2, then individually. The exam must be passed. | Approved calculator, textbook and school formula collection |

Mappevurdering | Individual | 1 | Semesters | Percentage | 50 | Not required | Portfolio assessment. The portfolio is based on 1 to 2 tests, 2 to 3 submissions and 1 project assignment. |