Appendix 1: Course list
Master of Science in Engineering and in Education (CLGYM), Programme syllabus for studies starting in autumn 2016
General courses
Year 1
Mandatory courses (60.0 credits)
Course code  Course name  Credits  Edu. level 

DD1314  Programming for Interactive Media  8.0  First cycle 
DIK200  Learning as Professional Assignments  8.5  First cycle 
ED1100  Engineering Science  7.5  First cycle 
MJ1530  Physics, Chemistry, Energy and the Environment  15.0  First cycle 
SF1661  Perspectives on Mathematics  6.0  First cycle 
SF1662  Discrete Mathematics  7.5  First cycle 
UMK212  Mathematics Education and Preservice Placement for Upper Secondary School  7.5  First cycle 
Supplementary information
All students follow the same courses during the first year of the programme. At the end of the spring term, the students choose one of the four specialisations:
Mathematics and Physics, Mathematics and Chemistry, Mathematics and Technology, specialising in Energy and environment, Mathematics and Technology specialising in Information and communication technology.
Year 2
Year 3
Year 4
Year 5
Mathematics and Physics (MAFY)
Year 1
Year 2
Mandatory courses (60.0 credits)
Course code  Course name  Credits  Edu. level 

SF1672  Linear Algebra  7.5  First cycle 
SF1673  Analysis in one variable  7.5  First cycle 
SF1674  Multivariable Calculus  7.5  First cycle 
SG1112  Mechanics I  9.0  First cycle 
SI1122  Thermodynamics  5.0  First cycle 
SI1146  Vector Analysis  4.0  First cycle 
SK1104  Classical Physics  7.5  First cycle 
UCK300  Educational leadership  6.0  First cycle 
UMK310  Development and Learning in Science and Technology  6.0  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, TO BE CHANGED
The majority of the specialised courses are followed jointly with firstyear Engineering Physics. From autumn term 2016, there will be certain changes in the programme syllabus for Engineering Physics. This will also affect the Master of Science in Engineering and Education programme and the Mathematics and Physics specialisation, principally years 2 and 3.
Year 3
Mandatory courses (60.0 credits)
Course code  Course name  Credits  Edu. level 

LT1035  VFU2: Experiments and Informal Learning Environments  11.0  First cycle 
ME2084  Organizational Analysis and Professional Roles  4.0  Second cycle 
SF1544  Numerical Methods, Basic Course IV  6.0  First cycle 
SF1683  Differential Equations and Transforms  9.0  First cycle 
SF1917  Probability Theory and Statistics  6.0  First cycle 
SG1113  Mechanics, Continuation Course  6.0  First cycle 
SH1014  Modern Physics  4.0  First cycle 
SI1155  Theoretical Physics  6.0  First cycle 
SI1200  Mathematical Methods in Physics  4.0  First cycle 
SK1105  Experimental Physics  4.0  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, TO BE CHANGED
The majority of the specialised courses are followed jointly with secondyear Engineering Physics. From autumn term 2016, there will be certain changes in the programme syllabus for Engineering Physics. This will also affect the Master of Science in Engineering and Education programme and the Mathematics and Physics specialisation, principally years 2 and 3.
Year 4
Mandatory courses (53.0 credits)
Course code  Course name  Credits  Edu. level 

EH2070  Project Management and Business Development  6.0  Second cycle 
EI1228  Electromagnetic Theory, Smaller Course
Continuation from year 3

6.0  First cycle 
MJ2612  Teaching and Sustainable Development  6.0  Second cycle 
SF2717  Mathematics, Advanced Course  6.0  Second cycle 
SH1015  Applied Modern Physics  5.0  First cycle 
UMK702  Teaching and Assessment in Mathematics and Technology or Science  9.0  Second cycle 
UMK703  School Placement III with Subject Didactics  15.0  Second cycle 
Conditionally elective courses
Supplementary information
The majority of the courses are followed by all students.
Conditionally elective courses in Physics/Mathematics constitute approx. 11 ECTS credits.
Year 5
Mandatory courses (51.0 credits)
Course code  Course name  Credits  Edu. level 

AK2055  Theory of Science and Research Methodology for Teachers  4.0  Second cycle 
LT200X  Degree Project in Technology and Learning, Second Cycle  30.0  Second cycle 
SF2719  The History of Mathematics  6.0  Second cycle 
UMK803  Curriculum Theory and Subject Didactics  6.0  Second cycle 
UQK701  Special Education Youth and Adults  5.0  Second cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the courses are followed by all students.
Conditionally elective courses in Physics/Mathematics constitute approx. 8 ECTS credits.
Suggestions for conditionally elective courses that are approved for the degree are to be found in the list under CLGYM/MAFY (Master of Science in Engineering and Education programme and the Mathematics and Physics specialisation), year 4, during the academic year 2014/15.
Year 6
Mathematics and Chemistry (MAKE)
Year 1
Year 2
Mandatory courses (67.5 credits)
Course code  Course name  Credits  Edu. level 

KA1040  Perspectives on Research and Innovation  8.5  First cycle 
KD1230  Organic Chemistry, Basic Concepts and Practice  6.0  First cycle 
KD1290  Chemical Analysis  8.5  First cycle 
KE1150  Engineering Chemistry  10.0  First cycle 
SF1624  Algebra and Geometry  7.5  First cycle 
SF1625  Calculus in One Variable  7.5  First cycle 
SF1626  Calculus in Several Variable  7.5  First cycle 
UCK300  Educational leadership  6.0  First cycle 
UMK310  Development and Learning in Science and Technology  6.0  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the specialised courses are followed jointly with firstyear Degree Programme in Engineering Chemistry.
Year 3
Mandatory courses (61.0 credits)
Course code  Course name  Credits  Edu. level 

KA1040  Perspectives on Research and Innovation  8.5  First cycle 
KD1070  Molecular Structure  6.0  First cycle 
KD1080  Chemical Dynamics  6.0  First cycle 
KE1160  Thermodynamics  7.5  First cycle 
LT1035  VFU2: Experiments and Informal Learning Environments  11.0  First cycle 
ME2084  Organizational Analysis and Professional Roles  4.0  Second cycle 
SF1514  Numerical Methods, Basic Course  6.0  First cycle 
SF1633  Differential Equations I  6.0  First cycle 
SF1914  Probability Theory and Statistics  6.0  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the specialised courses are followed jointly with secondyear Degree Programme in Engineering Chemistry.
Year 4
Mandatory courses (48.0 credits)
Course code  Course name  Credits  Edu. level 

EH2070  Project Management and Business Development  6.0  Second cycle 
MJ2612  Teaching and Sustainable Development  6.0  Second cycle 
SF2717  Mathematics, Advanced Course  6.0  Second cycle 
SF2718  Mathematics for Chemists  6.0  Second cycle 
UMK702  Teaching and Assessment in Mathematics and Technology or Science  9.0  Second cycle 
UMK703  School Placement III with Subject Didactics  15.0  Second cycle 
Conditionally elective courses
Supplementary information
The majority of the courses are followed by all students.
Conditionally elective courses in Chemistry/Mathematics constitute approx. 12 ECTS credits.
CK2010 is also conditionally elective
Year 5
Mandatory courses (57.0 credits)
Course code  Course name  Credits  Edu. level 

AK2055  Theory of Science and Research Methodology for Teachers  4.0  Second cycle 
BB1050  Biotechnology  6.0  First cycle 
LT200X  Degree Project in Technology and Learning, Second Cycle  30.0  Second cycle 
SF2719  The History of Mathematics  6.0  Second cycle 
UMK803  Curriculum Theory and Subject Didactics  6.0  Second cycle 
UQK701  Special Education Youth and Adults  5.0  Second cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the courses are followed by all students.
Conditionally elective courses in Chemistry/Mathematics constitute approx. 3 ECTS credits.
Suggestions for conditionally elective courses that are approved for the degree are to be found in the list under CLGYM/MAKE (Master of Science in Engineering and Education programme and the Mathematics and Chemistry specialisation), year 4, during the academic year 2014/15.
Mathematics and Technology: Energy and Environment (TEMI)
Year 1
Year 2
Mandatory courses (60.0 credits)
Course code  Course name  Credits  Edu. level 

AE1503  Environmental Systems Analysis for Teachers  6.0  First cycle 
MJ1508  Ecology and Environmental Effects  7.5  First cycle 
SF1546  Numerical Methods, Basic Course  6.0  First cycle 
SF1624  Algebra and Geometry  7.5  First cycle 
SF1625  Calculus in One Variable  7.5  First cycle 
SF1626  Calculus in Several Variable  7.5  First cycle 
SG1102  Mechanics, Smaller Course  6.0  First cycle 
UCK300  Educational leadership  6.0  First cycle 
UMK310  Development and Learning in Science and Technology  6.0  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the specialised courses are followed jointly with firstyear Degree Programme in Energy and Environment.
Year 3
Mandatory courses (60.0 credits)
Course code  Course name  Credits  Edu. level 

KE1060  Material and Energy Balances  7.5  First cycle 
LT1035  VFU2: Experiments and Informal Learning Environments  11.0  First cycle 
ME2084  Organizational Analysis and Professional Roles  4.0  Second cycle 
MJ1112  Applied Thermodynamics  9.0  First cycle 
MJ1145  Energy Systems  7.5  First cycle 
MJ2615  Introduction to Industrial Ecology, larger course  7.5  Second cycle 
SF1633  Differential Equations I  6.0  First cycle 
SF1910  Applied Statistics  7.5  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the specialised courses are followed jointly with secondyear Degree Programme in Energy and Environment
Year 4
Mandatory courses (54.0 credits)
Course code  Course name  Credits  Edu. level 

AK2209  Energy Systems in Society  6.0  Second cycle 
EH2070  Project Management and Business Development  6.0  Second cycle 
MJ2612  Teaching and Sustainable Development  6.0  Second cycle 
SF2717  Mathematics, Advanced Course  6.0  Second cycle 
SF2718  Mathematics for Chemists  6.0  Second cycle 
UMK702  Teaching and Assessment in Mathematics and Technology or Science  9.0  Second cycle 
UMK703  School Placement III with Subject Didactics  15.0  Second cycle 
Conditionally elective courses
Supplementary information
The majority of the courses are followed by all students.
Conditionally elective courses in Technology/Mathematics constitute approx. 6 ECTS credits.
Year 5
Mandatory courses (51.0 credits)
Course code  Course name  Credits  Edu. level 

AK2055  Theory of Science and Research Methodology for Teachers  4.0  Second cycle 
LT200X  Degree Project in Technology and Learning, Second Cycle  30.0  Second cycle 
SF2719  The History of Mathematics  6.0  Second cycle 
UMK803  Curriculum Theory and Subject Didactics  6.0  Second cycle 
UQK701  Special Education Youth and Adults  5.0  Second cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
Conditionally elective courses in Technology/Mathematics constitute approx. 9 ECTS credits.
The majority of the courses are followed by all students.
Suggestions for conditionally elective courses that are approved for the degree are to be found in the list under CLGYM/TEMI (Master of Science in Engineering and Education programme and the Mathematics and Technology specialisation in Energy and Environment), year 4, during the academic year 2014/15.
Mathematics and Technology: Information and communication (TIKT)
Year 1
Year 2
Mandatory courses (60.0 credits)
Course code  Course name  Credits  Edu. level 

DD1325  Applied Computer Science with Ethics  7.5  First cycle 
DD1380  Java Programming for Python Programmers  1.5  First cycle 
DH2624  HumanComputer Interaction  a Didactive Perspective  7.5  Second cycle 
IS1500  Computer Organization and Components  9.0  First cycle 
SF1624  Algebra and Geometry  7.5  First cycle 
SF1625  Calculus in One Variable  7.5  First cycle 
SF1626  Calculus in Several Variable  7.5  First cycle 
UCK300  Educational leadership  6.0  First cycle 
UMK310  Development and Learning in Science and Technology  6.0  First cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the specialised courses are followed jointly with firstyear Degree Programme in Computer Science and Engineering or Media Technology.
Year 3
Mandatory courses (58.5 credits)
Course code  Course name  Credits  Edu. level 

DD1362  Programming Paradigms  6.0  First cycle 
DD1368  Database Technology  6.0  First cycle 
DD1393  Software Engineering  10.5  First cycle 
DD1395  Indepth Essay in Computer Science  3.0  First cycle 
LT1035  VFU2: Experiments and Informal Learning Environments  11.0  First cycle 
ME2084  Organizational Analysis and Professional Roles  4.0  Second cycle 
SF1514  Numerical Methods, Basic Course  6.0  First cycle 
SF1633  Differential Equations I  6.0  First cycle 
SF1917  Probability Theory and Statistics  6.0  First cycle 
Supplementary information
The majority of the specialised courses are followed jointly with secondyear Degree Programme in Computer Science and Engineering or Media Technology.
Year 4
Mandatory courses (42.0 credits)
Course code  Course name  Credits  Edu. level 

EH2070  Project Management and Business Development  6.0  Second cycle 
MJ2612  Teaching and Sustainable Development  6.0  Second cycle 
SF2717  Mathematics, Advanced Course  6.0  Second cycle 
UMK702  Teaching and Assessment in Mathematics and Technology or Science  9.0  Second cycle 
UMK703  School Placement III with Subject Didactics  15.0  Second cycle 
Conditionally elective courses
Supplementary information
The majority of the courses are followed by all students.
Conditionally elective courses in ICT Technology/Mathematics constitute approx. 18 ECTS credits.
Year 5
Mandatory courses (51.0 credits)
Course code  Course name  Credits  Edu. level 

AK2055  Theory of Science and Research Methodology for Teachers  4.0  Second cycle 
LT200X  Degree Project in Technology and Learning, Second Cycle  30.0  Second cycle 
SF2719  The History of Mathematics  6.0  Second cycle 
UMK803  Curriculum Theory and Subject Didactics  6.0  Second cycle 
UQK701  Special Education Youth and Adults  5.0  Second cycle 
Supplementary information
PRELIMINARY SYLLABUS, MAY BE CHANGED
The majority of the courses are followed by all students.
Conditionally elective courses in ICT Technology/Mathematics constitute approx. 9 ECTS credits.
Suggestions for conditionally elective courses that are approved for the degree are to be found in the list under CLGYM/TIKT (Master of Science in Engineering and Education programme and the Mathematics and Technology with specialisation in Information and Communication technology), year 4, during the academic year 2014/15.