MM107: Dynamic models and interdisciplinary teaching

The Study Board for Science

Teaching language: Danish
EKA: N900016102
Assessment: Second examiner: External
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Professional Master

STADS ID (UVA): N900016101
ECTS value: 5

Date of Approval: 28-03-2025


Duration: 1 semester

Version: Archive

Internal Course Code

MM107

Entry requirements

You must be admitted to the Master's degree programme in mathematics in order to follow the course.

Academic preconditions

Students following the course are expected to: Have knowledge of calculus and linear algebra

The course builds on the knowledge acquired in the courses during the 1st and 2nd semesters and provides an academic foundation for the Master's thesis, which is placed later in the program.

Course introduction

The course aims to introduce mathematical modeling problems from natural sciences, engineering, and social sciences using differential equations, and to analyze and solve these equations both by analytical and numerical methods. Additionally, it aims to enable the student to plan, evaluate, and reflect on teaching sequences with mathematical modeling as the central learning activity, involving mathematics and at least one other subject containing mathematics.

Expected learning outcome

To achieve the course's objectives, the learning goal for the course is for the student to demonstrate the ability to:
  • Understand and handle models for complex processes in natural sciences.
  • Formulate a differential equation as a model for a simple problem and solve it using techniques taught in the course.
  • Construct, implement, and analyze numerical methods to compute (approximate) solutions to differential equations.
  • Reflect on and develop practices within the teaching of natural science subjects at the secondary education level.
  • Justify and develop an interdisciplinary teaching sequence.

Content

The course includes the following main academic areas:
  • First-order differential equations and mathematical models
  • Systems of first-order differential equations and higher-order linear equations
  • Numerical methods
  • Subjects and interdisciplinary interaction, types and justifications
  • Mathematical modeling competence as an interdisciplinary competence
  • Mathematical modeling as a didactic and pedagogical tool for interdisciplinary interaction between mathematics and subjects containing mathematics
  • Interdisciplinary interaction and teaching design

Literature

See itslearning for syllabus lists and additional literature references.

Examination regulations

Exam element a)

Timing

January

Tests

Oral exam

EKA

N900016102

Assessment

Second examiner: External

Grading

7-point grading scale

Identification

Student Identification Card - Name

Language

Normally, the same as teaching language

Examination aids

Allowed, a closer description of the exam rules will be posted in itslearning

ECTS value

5

Additional information

Oral examination based on the individual student's course portfolio, which includes the student's own notes and two reports approved by the responsible teacher on mathematical modeling and one of the student's interdisciplinary teaching courses developed by the student.

Indicative number of lessons

52 hours per semester

Teaching Method

Planned lessons:
Total number of planned lessons: 52
Hereof:
Common lessons in classroom/auditorium: 52

Three 2-3 day sessions during the semester. Otherwise, distance learning based on video and (interactive) texts.

Other planned teaching activities:
Participation in online discussion forums, preparation of presentations and summaries for the course sessions.

Teacher responsible

Name E-mail Department
Chunfang Zhou chzh@sdu.dk Institut for Matematik og Datalogi

Additional teachers

Name E-mail Department City
Amalie Thorup Eich-Høy amtho@imada.sdu.dk Institut for Matematik og Datalogi
Benjamin Jäger jaeger@imada.sdu.dk Institut for Matematik og Datalogi

Timetable

Administrative Unit

Institut for Matematik og Datalogi (matematik)

Team at Registration

NAT

Offered in

Odense

Recommended course of study

Profile Education Semester Offer period

Transition rules

Transitional arrangements describe how a course replaces another course when changes are made to the course of study. 
If a transitional arrangement has been made for a course, it will be stated in the list. 
See transitional arrangements for all courses at the Faculty of Science.