ING2501 Mathematical methods 2

Course code: 
ING2501
Course name in Norwegian Bokmål: 
Matematiske metoder 2
Program of study: 
Bachelor i ingeniørfag, studieretning telematikk
Credits: 
10
Level of study: 
Bachelor
Teaching semester: 
2022 Autumn
Assessment semester: 
2020 Autumn
Person in charge: 
NTNU/Gjøvik
Geir Arne Bunde
Course content

The course will provide the students with an introduction to and understanding of specific mathematical concepts, problems and solution methods for application in the courses “Electronics” and “Signal processing” in relation to military communication systems. The course will provide an introduction to basic mathematical modelling, and computer tools will be used actively in teaching to more easily facilitate understanding of the mathematics. The students should be able to write independent explanations of concepts and problems in the curriculum. The student will develop knowledge and skills of working independently and in teams, and also develop critical and analytic skills by working extensively with projects. 
The course builds on ING1502 Mathematical methods 1. 

This course is taught by a representative from NTNU/Gjøvik. This representative is responsible for implementing the course in accordance with this course description.

Course topics
• Linear equation systems and matrixes
• Vector space
• Linear transformations
• Own systems and diagonalisation
• Internal product and orthogonality
• Mathematical computer tool
• Power series
• Fourier series
• Fourier transform 

Special conditions related to the assessments
Both assessment units must be passed in order to receive a grade for the course.
If the first assessment unit, linear algebra is failed, resit will be a 4-hour written examination.
If the second the assessment unit is failed, information on which form resit will take will be forthcoming. Any new grading on the assessment unit is carried out on everything that is part of it, after the grade has been set. 

Learning outcome

Knowledge 
After completion of the course, the cadet is able to:
• demonstrate understanding of the mathematical concepts, problems and solution methods that are a part of the course’s topics in linear algebra 
​• explain the concept series, including Power and Fourier series 
​• explain the Fourier transform of periodic and non-periodic functions 

Skills 
After completion of the course, the cadet is able to:
• basic use of mathematical computer tools 
• solve basic linear algebraic problems related to equation systems, matrices and linear transformations 
• solve basic linear algebraic problems related to vector spaces 
• solve basic linear algebraic problems related to own systems and diagonalisation 
• solve basic linear algebraic problems related to inner product and orthogonality 
• calculate Taylor series and apply linearisation to solve basic differential equations
• calculate Fourier series for simple functions 
• calculate the Fourier transform of basic functions, and be able to use this to solve some standard differential equations 
• find the transitions between time and frequency representation of a signal

General competence
After completion of the course, the cadet is able to:
• explain concepts and methods in the course
• schedule and accomplish both the group process and working independently, in connection with the project work

Working and learning activities

Lectures, tests, exercises, report writing and problem solving in groups 

Sensor system

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.

Curriculum

Bretscher. (2013). Linear algebra with applications​ (5. utg.). London: Pearson education 
Croft: (2017). Engineering mathematics (5. utg.). London: Pearson education 

Mandatory courseworkCourseworks givenCourseworks requiredPresence requiredComment
Øvinger11Not requiredMandatory excercise in series and transform
Obligatoriske arbeidskrav:
Mandatory coursework:Øvinger
Courseworks given:1
Courseworks required:1
Presence required:Not required
Comment:Mandatory excercise in series and transform
Form of assessmentGroupingDurationType of durationGrading scaleProportionOral examinationCommentSupported materials
Skriftlig eksamenIndividual4HoursPercentage2/6Not requiredFirst part of the assessment unit concerns linear algebra • Written examination in linear algebraApproved calculator Additional aids will be announced at the start of the semester
ProsjektoppgaveGroup -Percentage1/6Not requiredSecond part of the assessment unit concerns series and transform: • Two group examinations - first one • Written examination
ProsjektoppgaveGroup -Percentage1/6Not requiredSecond part of the assessment unit concerns series and transform: • Two group examinations - second one • Written examination
Skriftlig eksamenIndividual4HoursPercentage2/6Not requiredSecond part of the assessment unit concerns series and transform: • Two group examinations • Written examination - this oneApproved calculator Additional aids will be announced at the start of the semester
Vurderinger:
Form of assessment:Skriftlig eksamen
Grouping:Individual
Duration:4
Type of duration:Hours
Grading scale:Percentage
Proportion:2/6
Oral examination:Not required
Comment:First part of the assessment unit concerns linear algebra • Written examination in linear algebra
Supported materials:Approved calculator Additional aids will be announced at the start of the semester
Form of assessment:Prosjektoppgave
Grouping:Group
Duration:
Type of duration:-
Grading scale:Percentage
Proportion:1/6
Oral examination:Not required
Comment:Second part of the assessment unit concerns series and transform: • Two group examinations - first one • Written examination
Supported materials:
Form of assessment:Prosjektoppgave
Grouping:Group
Duration:
Type of duration:-
Grading scale:Percentage
Proportion:1/6
Oral examination:Not required
Comment:Second part of the assessment unit concerns series and transform: • Two group examinations - second one • Written examination
Supported materials:
Form of assessment:Skriftlig eksamen
Grouping:Individual
Duration:4
Type of duration:Hours
Grading scale:Percentage
Proportion:2/6
Oral examination:Not required
Comment:Second part of the assessment unit concerns series and transform: • Two group examinations • Written examination - this one
Supported materials:Approved calculator Additional aids will be announced at the start of the semester
Authors: 
Geir Arne Bunde