General courses

Year 1

Mandatory courses (60.0 hp)

Code Name Credits Edu. level
DD1312 Programming Techniques and Matlab 8.0 hp First cycle
DIK200 Learning as Professional Assignments 8.5 hp First cycle
ED1100 Engineering Science 7.5 hp First cycle
MJ1530 Physics, Chemistry, Energy and the Environment 15.0 hp First cycle
SF1661 Perspectives on Mathematics 6.0 hp First cycle
SF1662 Discrete Mathematics 7.5 hp First cycle
UMK212 Mathematics Education and Pre-service Placement for Upper Secondary School 7.5 hp 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

Mandatory courses (12.0 hp)

Code Name Credits Edu. level
UCK300 Educational leadership 6.0 hp First cycle
UMK310 Development and Learning in Science and Technology 6.0 hp First cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

Year 3

Mandatory courses (15.0 hp)

Code Name Credits Edu. level
LT1022 Science, Technology and Learning 11.0 hp First cycle
ME2084 Organizational Analysis and Professional Roles 4.0 hp Second cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

Year 4

Mandatory courses (42.0 hp)

Code Name Credits Edu. level
EH2070 Project Management and Business Development 6.0 hp Second cycle
MJ2612 Teaching and Sustainable Development 6.0 hp Second cycle
SF2717 Mathematics, Advanced Course 6.0 hp Second cycle
UMK702 Teaching and Assessment in Mathematics and Technology or Science 9.0 hp Second cycle
UMK704 School Placement III with Subject Didactics 15.0 hp Second cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

Year 5

Mandatory courses (51.0 hp)

Code Name Credits Edu. level
AK2055 Theory of Science and Research Methodology for Teachers 4.0 hp Second cycle
LT200X Degree Project in Technology and Learning, Second Cycle 30.0 hp Second cycle
SF2719 The History of Mathematics 6.0 hp Second cycle
UMK803 Curriculum Theory and Subject Didactics 6.0 hp Second cycle
UQK701 Special Education- Youth and Adults 5.0 hp Second cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

Mathematics and Physics (MAFY)

Year 2

Mandatory courses (60.0 hp)

Code Name Credits Edu. level
SF1672 Linear Algebra 7.5 hp First cycle
SF1673 Analysis in one variable 7.5 hp First cycle
SF1674 Multivariable Calculus 7.5 hp First cycle
SG1112 Mechanics I 9.0 hp First cycle
SI1122 Thermodynamics 5.0 hp First cycle
SI1146 Vector Analysis 4.0 hp First cycle
SK1104 Classical Physics 7.5 hp First cycle
UCK300 Educational leadership 6.0 hp First cycle
UMK310 Development and Learning in Science and Technology 6.0 hp First cycle

Supplementary information

PRELIMINARY SYLLABUS, TO BE CHANGED 

The majority of the specialised courses are followed jointly with first-year 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 hp)

Code Name Credits Edu. level
LT1035 VFU2: Experiments and Informal Learning Environments 11.0 hp First cycle
ME2084 Organizational Analysis and Professional Roles 4.0 hp Second cycle
SF1544 Numerical Methods, Basic Course IV 6.0 hp First cycle
SF1683 Differential Equations and Transforms 9.0 hp First cycle
SF1917 Probability Theory and Statistics 6.0 hp First cycle
SG1113 Mechanics, Continuation Course 6.0 hp First cycle
SH1014 Modern Physics 4.0 hp First cycle
SI1155 Theoretical Physics 6.0 hp First cycle
SI1200 Mathematical Methods in Physics 4.0 hp First cycle
SK1105 Experimental Physics 4.0 hp First cycle

Year 4

Mandatory courses (53.0 hp)

Code Name Credits Edu. level
EH2070 Project Management and Business Development 6.0 hp Second cycle
EI1228 Electromagnetic Theory, Smaller Course 6.0 hp First cycle
MJ2612 Teaching and Sustainable Development 6.0 hp Second cycle
SF2717 Mathematics, Advanced Course 6.0 hp Second cycle
SH1015 Applied Modern Physics 5.0 hp First cycle
UMK702 Teaching and Assessment in Mathematics and Technology or Science 9.0 hp Second cycle
UMK704 School Placement III with Subject Didactics includes 12 credits VFU 15.0 hp Second cycle

Conditionally elective courses

Code Name Credits Edu. level
ED2200 Energy and Fusion Research 6.0 hp Second cycle
EF2200 Plasma Physics 6.0 hp Second cycle
EF2240 Space Physics 6.0 hp Second cycle
HL2003 Radiation Physics and Biology 6.0 hp Second cycle
SF1677 Foundations of Analysis 7.5 hp First cycle
SF1678 Groups and Rings 7.5 hp First cycle
SF2701 Financial Mathematics, Basic Course 7.5 hp Second cycle
SF2832 Mathematical Systems Theory 7.5 hp Second cycle
SF2930 Regression Analysis 7.5 hp Second cycle
SF2940 Probability Theory 7.5 hp Second cycle
SG2150 Rigid Body Dynamic 7.0 hp Second cycle
SG2211 Vehicle Aerodynamics 6.0 hp Second cycle
SG2214 Fluid Mechanics 7.5 hp Second cycle
SG2215 Compressible Flow 7.5 hp Second cycle
SI2400 Theoretical Particle Physics 7.5 hp Second cycle
SI2540 Complex Systems 7.5 hp Second cycle
SK2300 Optical Physics 6.0 hp Second cycle
SK2301 Optical Physics 3.0 hp Second cycle
SK2320 Problem Solving in Optics 6.0 hp Second cycle
SK2411 Laser Physics 7.5 hp Second cycle
SK2520 Experimental Methods in Molecular Biophysics 8.0 hp Second cycle
SK2531 Biomedicine for Engineers 12.0 hp 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. 11 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 2016/17.

Year 5

Mandatory courses (51.0 hp)

Code Name Credits Edu. level
AK2055 Theory of Science and Research Methodology for Teachers 4.0 hp Second cycle
LT200X Degree Project in Technology and Learning, Second Cycle 30.0 hp Second cycle
SF2719 The History of Mathematics 6.0 hp Second cycle
UMK803 Curriculum Theory and Subject Didactics 6.0 hp Second cycle
UQK701 Special Education- Youth and Adults 5.0 hp 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 2016/17.

Mathematics and Chemistry (MAKE)

Year 2

Mandatory courses (67.5 hp)

Code Name Credits Edu. level
KA1040 Perspectives on Research and Innovation 8.5 hp First cycle
KD1230 Organic Chemistry, Basic Concepts and Practice 6.0 hp First cycle
KD1290 Chemical Analysis 8.5 hp First cycle
KE1150 Engineering Chemistry 10.0 hp First cycle
SF1624 Algebra and Geometry 7.5 hp First cycle
SF1625 Calculus in One Variable 7.5 hp First cycle
SF1626 Calculus in Several Variables 7.5 hp First cycle
UCK300 Educational leadership 6.0 hp First cycle
UMK310 Development and Learning in Science and Technology 6.0 hp First cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

The majority of the specialised courses are followed jointly with first-year Degree Programme in Engineering Chemistry.

Year 3

Mandatory courses (61.0 hp)

Code Name Credits Edu. level
KA1040 Perspectives on Research and Innovation 8.5 hp First cycle
KD1070 Molecular Structure 6.0 hp First cycle
KD1080 Chemical Dynamics 6.0 hp First cycle
KE1160 Thermodynamics 7.5 hp First cycle
LT1035 VFU2: Experiments and Informal Learning Environments 11.0 hp First cycle
ME2084 Organizational Analysis and Professional Roles 4.0 hp Second cycle
SF1514 Numerical Methods, Basic Course 6.0 hp First cycle
SF1633 Differential Equations I 6.0 hp First cycle
SF1914 Probability Theory and Statistics 6.0 hp First cycle

Supplementary information

The majority of the specialised courses are followed jointly with second-year Degree Programme in Engineering Chemistry.

Year 4

Mandatory courses (48.0 hp)

Code Name Credits Edu. level
EH2070 Project Management and Business Development 6.0 hp Second cycle
MJ2612 Teaching and Sustainable Development 6.0 hp Second cycle
SF2717 Mathematics, Advanced Course 6.0 hp Second cycle
SF2718 Mathematics for Chemists 6.0 hp Second cycle
UMK702 Teaching and Assessment in Mathematics and Technology or Science 9.0 hp Second cycle
UMK704 School Placement III with Subject Didactics 15.0 hp Second cycle

Conditionally elective courses

Code Name Credits Edu. level
KD1270 Organic Chemistry, Basic Concepts and Practice 2 7.5 hp First cycle
KD2155 Solid State Chemistry: Structures and Methods 7.5 hp Second cycle
KD2170 Nano-structured Materials 7.5 hp Second cycle
KD2320 Spectroscopic Tools for Chemistry 9.0 hp Second cycle
KD2370 Photo, Radiation and Radical Chemistry 7.5 hp Second cycle
KE2130 Renewable Fuel Production Processes 7.5 hp Second cycle
MJ2615 Introduction to Industrial Ecology, larger course 7.5 hp Second cycle
SF1904 Markov Processes, Basic Course 3.0 hp First cycle
SF2701 Financial Mathematics, Basic Course 7.5 hp Second cycle
SF2832 Mathematical Systems Theory 7.5 hp Second cycle
SF2930 Regression Analysis 7.5 hp Second cycle
SF2940 Probability Theory 7.5 hp 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. 12 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 2016/17.

Year 5

Mandatory courses (57.0 hp)

Code Name Credits Edu. level
AK2055 Theory of Science and Research Methodology for Teachers 4.0 hp Second cycle
BB1050 Biotechnology 6.0 hp First cycle
LT200X Degree Project in Technology and Learning, Second Cycle 30.0 hp Second cycle
SF2719 The History of Mathematics 6.0 hp Second cycle
UMK803 Curriculum Theory and Subject Didactics 6.0 hp Second cycle
UQK701 Special Education- Youth and Adults 5.0 hp 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 2016/17.

Mathematics and Technology: Energy and Environment (TEMI)

Year 2

Mandatory courses (60.0 hp)

Code Name Credits Edu. level
AE1503 Environmental Systems Analysis for Teachers 6.0 hp First cycle
MJ1508 Ecology and Environmental Effects 7.5 hp First cycle
SF1546 Numerical Methods, Basic Course 6.0 hp First cycle
SF1624 Algebra and Geometry 7.5 hp First cycle
SF1625 Calculus in One Variable 7.5 hp First cycle
SF1626 Calculus in Several Variables 7.5 hp First cycle
SG1102 Mechanics, Smaller Course 6.0 hp First cycle
UCK300 Educational leadership 6.0 hp First cycle
UMK310 Development and Learning in Science and Technology 6.0 hp First cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

The majority of the specialised courses are followed jointly with first-year Degree Programme in Energy and Environment

Year 3

Mandatory courses (60.0 hp)

Code Name Credits Edu. level
KE1060 Material and Energy Balances 7.5 hp First cycle
LT1035 VFU2: Experiments and Informal Learning Environments 11.0 hp First cycle
ME2084 Organizational Analysis and Professional Roles 4.0 hp Second cycle
MJ1112 Applied Thermodynamics 9.0 hp First cycle
MJ1145 Energy Systems 7.5 hp First cycle
MJ2615 Introduction to Industrial Ecology, larger course 7.5 hp Second cycle
SF1633 Differential Equations I 6.0 hp First cycle
SF1925 Applied Statistics 7.5 hp First cycle

Supplementary information

The majority of the specialised courses are followed jointly with second-year Degree Programme in Energy and Environment.

Year 4

Mandatory courses (54.0 hp)

Code Name Credits Edu. level
AK2209 Energy Systems in Society 6.0 hp Second cycle
EH2070 Project Management and Business Development 6.0 hp Second cycle
MJ2612 Teaching and Sustainable Development 6.0 hp Second cycle
SF2717 Mathematics, Advanced Course 6.0 hp Second cycle
SF2718 Mathematics for Chemists 6.0 hp Second cycle
UMK702 Teaching and Assessment in Mathematics and Technology or Science 9.0 hp Second cycle
UMK704 School Placement III with Subject Didactics includes 12 credits VFU 15.0 hp Second cycle

Conditionally elective courses

Code Name Credits Edu. level
AG1137 Planning and Governance of Urban and Regional Development 7.5 hp First cycle
AL2181 Environmental System Analysis and Decision-making 7.5 hp Second cycle
AL2195 Sustainable Development in Developing Countries 7.5 hp Second cycle
MG2128 CAD and Other IT Tools in Industrial Processes, Extended Course 7.5 hp Second cycle
MJ1150 Energy and Systems, Innovation and Entrepreneurship 10.5 hp First cycle
MJ1501 States and Trends 7.5 hp First cycle
MJ2627 Environmental Technology, Larger Course 9.0 hp Second cycle
MJ2629 Environmental Technology, Theory Course 6.0 hp Second cycle
SE1020 Solid Mechanics, Basic Course 9.0 hp First cycle
SE1055 Strength of Materials and Solid Mechanics, Basic Course with Energy Methods 9.0 hp First cycle
SF1904 Markov Processes, Basic Course 3.0 hp First cycle
SF2701 Financial Mathematics, Basic Course 7.5 hp Second cycle
SF2832 Mathematical Systems Theory 7.5 hp Second cycle
SF2930 Regression Analysis 7.5 hp Second cycle
SF2940 Probability Theory 7.5 hp Second cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

The majority of the courses are followed by all students.

Conditionally elective courses in Technology/Mathematics constitute approx. 6 ECTS credits.

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 2016/17.

Year 5

Mandatory courses (51.0 hp)

Code Name Credits Edu. level
AK2055 Theory of Science and Research Methodology for Teachers 4.0 hp Second cycle
LT200X Degree Project in Technology and Learning, Second Cycle 30.0 hp Second cycle
SF2719 The History of Mathematics 6.0 hp Second cycle
UMK803 Curriculum Theory and Subject Didactics 6.0 hp Second cycle
UQK701 Special Education- Youth and Adults 5.0 hp 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 2016/17.

Mathematics and Technology: Information and communication (TIKT)

Year 2

Mandatory courses (60.0 hp)

Code Name Credits Edu. level
DD1325 Applied Computer Science with Ethics 7.5 hp First cycle
DD1380 Java Programming for Python Programmers 1.5 hp First cycle
DH2624 Human-Computer Interaction - a Didactive Perspective 7.5 hp Second cycle
IS1500 Computer Organization and Components 9.0 hp First cycle
SF1624 Algebra and Geometry 7.5 hp First cycle
SF1625 Calculus in One Variable 7.5 hp First cycle
SF1626 Calculus in Several Variables 7.5 hp First cycle
UCK300 Educational leadership 6.0 hp First cycle
UMK310 Development and Learning in Science and Technology 6.0 hp First cycle

Supplementary information

PRELIMINARY SYLLABUS, MAY BE CHANGED

The majority of the specialised courses are followed jointly with first-year Degree Programme in Computer Science and Engineering or Media Technology.

Year 3

Mandatory courses (60.0 hp)

Code Name Credits Edu. level
DD1362 Programming Paradigms 6.0 hp First cycle
DD1368 Database Technology 6.0 hp First cycle
DD1393 Software Engineering 10.5 hp First cycle
DD1395 In-depth Essay in Computer Science 3.0 hp First cycle
LT1035 VFU2: Experiments and Informal Learning Environments 11.0 hp First cycle
ME2084 Organizational Analysis and Professional Roles 4.0 hp Second cycle
SF1514 Numerical Methods, Basic Course 6.0 hp First cycle
SF1633 Differential Equations I 6.0 hp First cycle
SF1925 Applied Statistics 7.5 hp First cycle

Supplementary information

The majority of the specialised courses are followed jointly with second-year Degree Programme in Computer Science and Engineering or Media Technology.

Year 4

Mandatory courses (42.0 hp)

Code Name Credits Edu. level
EH2070 Project Management and Business Development 6.0 hp Second cycle
MJ2612 Teaching and Sustainable Development 6.0 hp Second cycle
SF2717 Mathematics, Advanced Course 6.0 hp Second cycle
UMK702 Teaching and Assessment in Mathematics and Technology or Science 9.0 hp Second cycle
UMK704 School Placement III with Subject Didactics 15.0 hp Second cycle

Conditionally elective courses

Code Name Credits Edu. level
DD1396 Parallel and Concurrent Programming in Introduction to Computer Science 3.0 hp First cycle
DD2352 Algorithms and Complexity 7.5 hp Second cycle
DD2395 Computer Security 6.0 hp Second cycle
DD2418 Language Engineering 6.0 hp Second cycle
DD2440 Advanced Algorithms 6.0 hp Second cycle
DD2442 Seminars on Theoretical Computer Science 7.5 hp Second cycle
DD2447 Statistical Methods in Applied Computer Science 6.0 hp Second cycle
DD2448 Foundations of Cryptography 7.5 hp Second cycle
DH2320 Introduction to Visualization and Computer Graphics 6.0 hp Second cycle
DH2323 Computer Graphics and Interaction 6.0 hp Second cycle
DM2518 Mobile Development with Web Technologies 7.5 hp Second cycle
DT2140 Multimodal Interaction and Interfaces 7.5 hp Second cycle
IK2218 Protocols and Principles of the Internet 6.0 hp Second cycle
MG2128 CAD and Other IT Tools in Industrial Processes, Extended Course 7.5 hp Second cycle
SF1677 Foundations of Analysis 7.5 hp First cycle
SF1678 Groups and Rings 7.5 hp First cycle
SF2520 Applied Numerical Methods 7.5 hp Second cycle
SF2701 Financial Mathematics, Basic Course 7.5 hp Second cycle
SF2718 Mathematics for Chemists 6.0 hp Second cycle
SF2832 Mathematical Systems Theory 7.5 hp Second cycle
SF2930 Regression Analysis 7.5 hp Second cycle
SF2940 Probability Theory 7.5 hp 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. 18 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 2016/17.

Year 5

Mandatory courses (51.0 hp)

Code Name Credits Edu. level
AK2055 Theory of Science and Research Methodology for Teachers 4.0 hp Second cycle
LT200X Degree Project in Technology and Learning, Second Cycle 30.0 hp Second cycle
SF2719 The History of Mathematics 6.0 hp Second cycle
UMK803 Curriculum Theory and Subject Didactics 6.0 hp Second cycle
UQK701 Special Education- Youth and Adults 5.0 hp 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.