Appendix 1: Course list
Master of Science in Engineering and in Education (CLGYM), Programme syllabus for studies starting in autumn 2012
General courses
Year 1
Mandatory courses (60.0 hp)
Course code  Course name  Credits  Edu. level 

DD1314  Programming for Interactive Media  8.0 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 
UCK210  Theoretical and Empirical Perspectives on Learning  8.5 hp  First cycle 
UMK211  Mathematics Education and Preservice Placement for Upper Secondary School  7.5 hp  First cycle 
Optional courses
Course code  Course name  Credits  Edu. level 

SF1611  Introductory Course in Mathematics I  1.5 hp  First cycle 
Year 2
Mandatory courses (6.0 hp)
Course code  Course name  Credits  Edu. level 

UMK310  Development and Learning in Science and Technology  6.0 hp  First cycle 
Mathematics and Physics (MAFY)
Year 2
Mandatory courses (54.5 hp)
Course code  Course name  Credits  Edu. level 

SF1602  Calculus II, part 1  9.0 hp  First cycle 
SF1603  Calculus II, part 2  9.0 hp  First cycle 
SF1604  Linear Algebra  7.5 hp  First cycle 
SG1130  Mechanics I  9.0 hp  First cycle 
SI1122  Thermodynamics  5.0 hp  First cycle 
SK1103  Classical Physics for CL  9.0 hp  First cycle 
UCK310  Social Relations and Educational Leadership  6.0 hp  First cycle 
Year 3
Mandatory courses (67.5 hp)
Course code  Course name  Credits  Edu. level 

EI1260  Electromagnetic Theory, Introductory Course  6.0 hp  First cycle 
LT1003  Science, Technology and Learning  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 
SF1629  Differential Equations and Transforms II  9.0 hp  First cycle 
SF1901  Probability Theory and Statistics  6.0 hp  First cycle 
SG1113  Mechanics, Continuation Course  6.0 hp  First cycle 
SH1013  Modern Physics  10.5 hp  First cycle 
SI1140  Mathematical Methods in Physics  9.0 hp  First cycle 
Supplementary information
The majority of the specialised courses are followed jointly with secondyear Engineering Physics.
Year 4
Mandatory courses (58.5 hp)
Course code  Course name  Credits  Edu. level 

EH2070  Project Management and Business Development  6.0 hp  Second cycle 
EI1260  Electromagnetic Theory, Introductory 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 
SH1013  Modern Physics  10.5 hp  First cycle 
UMK701  Learning and Assessment  5.0 hp  Second cycle 
UMK802  Mathematics, Technology and Science Education and Teacher Training Placement for Upper Secondary School Teacher  19.0 hp  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.
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 2015/16.
Year 5
Mandatory courses (51.0 hp)
Course code  Course 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 2015/16.
Mathematics and Chemistry (MAKE)
Year 2
Mandatory courses (61.5 hp)
Course code  Course 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 
KD1250  Natural Systems  Equilibria and Techniques for 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 
UCK310  Social Relations and Educational Leadership  6.0 hp  First cycle 
Year 3
Mandatory courses (61.0 hp)
Course code  Course 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 
LT1003  Science, Technology and Learning  11.0 hp  First cycle 
ME2084  Organizational Analysis and Professional Roles  4.0 hp  Second cycle 
SF1546  Numerical Methods, Basic Course  6.0 hp  First cycle 
SF1633  Differential Equations I  6.0 hp  First cycle 
SF1901  Probability Theory and Statistics  6.0 hp  First cycle 
Supplementary information
The majority of the specialised courses are followed jointly with secondyear Degree Programme in Engineering Chemistry.
Year 4
Mandatory courses (48.0 hp)
Course code  Course 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 
UMK701  Learning and Assessment  5.0 hp  Second cycle 
UMK802  Mathematics, Technology and Science Education and Teacher Training Placement for Upper Secondary School Teacher  19.0 hp  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.
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 2015/16.
Year 5
Mandatory courses (57.0 hp)
Course code  Course 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 2015/16.
Mathematics and Technology: Energy and Environment (TEMI)
Year 2
Mandatory courses (54.0 hp)
Course code  Course 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 
UCK310  Social Relations and Educational Leadership  6.0 hp  First cycle 
Year 3
Mandatory courses (60.0 hp)
Course code  Course name  Credits  Edu. level 

KE1060  Material and Energy Balances  7.5 hp  First cycle 
LT1003  Science, Technology and Learning  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 
MJ1521  Risk Assessment  3.0 hp  First cycle 
MJ2691  Technology and Sustainable Development  6.0 hp  Second cycle 
SF1633  Differential Equations I  6.0 hp  First cycle 
SF1901  Probability Theory and Statistics  6.0 hp  First cycle 
Supplementary information
The majority of the specialised courses are followed jointly with secondyear Degree Programme in Energy and Environment
Year 4
Mandatory courses (54.0 hp)
Course code  Course 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 
UMK701  Learning and Assessment  5.0 hp  Second cycle 
UMK802  Mathematics, Technology and Science Education and Teacher Training Placement for Upper Secondary School Teacher  19.0 hp  Second cycle 
Conditionally elective courses
Course code  Course name  Credits  Edu. level 

MJ1501  States and Trends  7.5 hp  First cycle 
MJ2615  Introduction to Industrial Ecology, larger course  7.5 hp  Second cycle 
MJ2695  Sustainable Development in Developing Countries  6.0 hp  Second cycle 
SF1628  Complex Analysis
Mathematics CLGYM

6.0 hp  First cycle 
SF2701  Financial Mathematics, Basic Course
Mathematics CLGYM

7.5 hp  Second cycle 
SF2713  Foundations of Analysis
Mathematics CLGYM

7.5 hp  Second cycle 
SF2729  Groups and Rings  7.5 hp  Second cycle 
SF2832  Mathematical Systems Theory
Mathematics CLGYM

7.5 hp  Second cycle 
SF2940  Probability Theory
Mathematics CLGYM

7.5 hp  Second cycle 
SF2950  Applied Mathematical Statistics
Mathematics CLGYM

7.5 hp  Second cycle 
Supplementary information
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 2015/16.
Year 5
Mandatory courses (51.0 hp)
Course code  Course 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 2015/16.
Mathematics and Technology: Information and communication (TIKT)
Year 2
Mandatory courses (54.0 hp)
Course code  Course name  Credits  Edu. level 

DD1325  Applied Computer Science with Ethics  7.5 hp  First cycle 
DD2310  Java Programming for Python Programmers  1.5 hp  Second cycle 
DH1603  Communication and Media  7.5 hp  First cycle 
IS1500  Computer Organization and Components  9.0 hp  First cycle 
SF1604  Linear Algebra  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 
UCK310  Social Relations and Educational Leadership  6.0 hp  First cycle 
Year 3
Mandatory courses (60.0 hp)
Course code  Course name  Credits  Edu. level 

DD1368  Database Technology  6.0 hp  First cycle 
DD1392  Introduction to Software Engineering  9.0 hp  First cycle 
DH2624  HumanComputer Interaction  a Didactive Perspective  7.5 hp  Second cycle 
LT1003  Science, Technology and Learning  11.0 hp  First cycle 
ME2084  Organizational Analysis and Professional Roles  4.0 hp  Second cycle 
SF1541  Numerical Methods, Basic Course  7.5 hp  First cycle 
SF1629  Differential Equations and Transforms II  9.0 hp  First cycle 
SF1901  Probability Theory and Statistics  6.0 hp  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 hp)
Course code  Course 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 
UMK701  Learning and Assessment  5.0 hp  Second cycle 
UMK802  Mathematics, Technology and Science Education and Teacher Training Placement for Upper Secondary School Teacher  19.0 hp  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, of which 6 ECTS credits within mathematics.
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 2015/2016
Year 5
Mandatory courses (51.0 hp)
Course code  Course 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.