Programme Name: Master of Science (Engineering Mathematics)

Last Update 27 July 2020

Awarding Institution Universiti Teknologi Malaysia
Teaching Institution Universiti Teknologi Malaysia
Programme Name Master of Science in Engineering Mathematics
Final Award
Master of Science (Engineering Mathematics)
Programme Code MSCJ2
Professional or Statutory Body of Accreditation
Kementerian Pengajian Tinggi
Language(s) of Instructions
Bahasa Melayu & English
Mode of Study Conventional
Mode of operation Self-govern
Study Scheme Full Time
Study Duration

Minimum:  2 semesters


Maximum: 8 semesters

Part Time: Minimum: 2½ years; Maximum: 4 years

Type of Semester No. of Semesters No. of weeks per semester
Full Time  Full Time
Normal 8 14


The objectives of this programme are to produce mathematical scientists and engineers who are:

  1. knowledgeable, creative and innovative in both areas of mathematics and engineering
  2. competent and dedicated to support the development and growth of science and engineering in line with UTM’s goals and the country’s development plan
  3. able to teach engineering mathematics at advanced level
  4. able to carry out research activities in engineering mathematics and lead effectively in multidisciplinary projects team
  5. able to recognize opportunities to establish research links and  encourage cooperation with private and public agencies
Intended Learning Outcomes Teaching and Learning Methods Assessment
(a) Engineering Mathematics Knowledge and Competencies
PO1. Knowledge of  engineering mathematics
Demonstrate knowledge of advanced theories and methods of engineering mathematics. Lectures, computer laboratory sessions, seminars, directed reading, individual and group assignments, individual research project Examinations, computer laboratory reports, seminar presentations, group project reports, class exercises, class discussion, individual project reports.
PO2.  Ability to use  techniques and skills/psychomotor skills
Demonstrate proficiency in analyzing, applying, and solving engineering problems using the acquired mathematical methods. Computer laboratory sessions, seminars, individual and group assignments, individual research project, cooperative learning, problem-based learning, case studies. Examinations, computer laboratory reports, seminar presentations, problem-based exercises, group project reports, simulation exercises, individual project reports.
(b) Generic Skills
PO3.  Problem Solving ability in identify, formulate, and analyze engineering problems
Demonstrate the problem solving ability in understand, extract and analyze engineering problems and reorganize the knowledge in  mathematical forms for specific purposes Lecturers, group assignments, individual research project, individual assignments,  computer laboratory sessions Written assignments, problem based exercises, quizzes, tests, final examinations, project report,  computer laboratory reports
PO4.  Communication Skills, Leadership and Team Working
Ability to convey ideas on mathematical and engineering knowledge clearly and effectively in both written and spoken forms. In addition, ability to work collaboratively as part of a team undertaking a range of different team roles Lectures, group assignments, individual assignments, individual research projects, Computer laboratory works Oral presentations, written assignments, computer laboratory reports, project report, Peer Assessment
P05. Skills and Social Responsibilities
Demonstrate the awareness of contemporary issues in mathematics and engineering and the ability to respond the challenges Projects, Seminars, Community service Learning portfolio, self evaluation
P06.  Professionalism, values, attitudes and ethics
Demonstrate an awareness of responsible and ethical conducts as well integrity in the context of their profession and obligations to society Seminar, workshop, community service, group work Seminar presentations, peer/self evaluation, learning portfolio, group report
P07.  Skills in continuing education, lifelong learning and information management
Ability to pursue independent study and demonstrate the awareness for lifelong learning and professional development Individual assignments, individual research projects and group assignments involving current developments in knowledge Individual reports, group reports, learning portfolios.
No. Classification Credit Hours Percentage


a. General

b. Language
c. Research Methodology



14.3 (13.33)

ii. Faculty Core 0 0
iii. Programme Core 6 14.3
iv. Programme Electives 9 21.4
v. Project Dissertation 21 50.0
Total 42 100

This is a 3-semester full-time course, which comprises 42 credits that include 2 mathematics core subjects (6 credits), 1 mathematics elective subject, 2 elective engineering subjects (6 credits), 1 University subject (3 credits) and Dissertation (21 credits). Typical distribution of subjects beginning in Semester 1 are as follows:


Semester 1

Subject Code Subjects Credit
MSCJ1523 Methods of Engineering Mathematics 3
MSCJ1533 Numerical Methods in Engineering 3
ULAJ XYZ3** Elective Foreign Language 3
Mxxx XYZ3 Elective Course (Mathematics or Engineering) 3

Total Credits


** University compulsory subject


Semester 2

Subject Code Subjects Credit
MSCJ 1033 Research Methodology 3
Mxxx XYZ3 Elective Course (Mathematics or Engineering) 3
Mxxx XYZ3 Elective Course (Mathematics or Engineering) 3

Total Credits



Semester 3

Subject Code Subjects Credit
MSCJ XYZ0 Dissertation 21

Total Credits


X – year of study ;
Y – 1st or 2nd semester;
Z – 8 if full time, 9 if part time;


Specialized topics for the projects are selected from on going research projects carried out in the Engineering Faculties or in the Department of Mathematics. Topics will have substantial combination of mathematics and engineering aspects. Students will conduct this research project, demonstrating their ability to critically evaluate existing research literature, to place the research into a theoretical and practical context and to exhibit knowledge and understanding of Engineering Mathematics.


Core Subjects

Course Code Subjects Credits
ULAJ 6013** Japanese Language 3
MSCJ 1523 Methods of Engineering Mathematics 3
MSCJ 1533 Numerical Methods in Engineering 3
MSCJ 1033 Research Methodology 3
Dissertation 21

** University Compulsory Courses


Elective Subjects

Course Code Subjects Credits
Mathematics Electives    
MSCJ 1513 Partial Differential Equations 3
MSCJ 1753 Fluids Mechanics and Heat Transfer 3
MSCJ 1733 Soliton and Nonlinear Waves 3
MSCJ 1713 Statistical Modelling and Simulation 3
Civil Engineering Electives    
MKAB 9073 Environmental Modelling 3
MKAE 1133 Water Pollution Control 3
MKAG1043 Geotechnical Modeling 3
MKAH 1243 Groundwater Hydrology 3
MKAH 1253 Groundwater Modelling 3
MKAH 1313 Computational Fluid Mechanics 3
MKAS 1163 Theory of Plate and Shell 3
Electrical Engineering Electives  
MKEM 1773 Multivariable and Optimal Control Systems 3
MKEM 1833 Linear System Theory 3
MKEM 1853 Discrete Time and Computer Control Systems 3
MKEL 1223 Random Process 3
MKEL 1233 Image Processing 3
Mechanical Engineering Electives    
MMP 1603 CAD/CAM 3
MKMM 1113 Computational Methods for Engineers 3
MKMM 1213 Advanced Engineering Mathematics 3
MKMM 1153 Computational Methods in Solid Mechanics 3
MKMM 1183 Theories of Elasticity and Plasticity 3
MKMM 1543 CAD and its Applications 3


Please refer to Appendix D for the synopsis of each subject.

Graduates of the programme can work as applied mathematicians or engineers in various institutions/industries, and as academicians at tertiary institutions.