Master Degree

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The Master of Mathematics Study Program holds a master’s degree in mathematics to produce moral graduates, mastering the subjects in the fields of analysis, algebra and computation related to the development of applied mathematics. Developing national and international cooperation in the field of education and mathematical research. Disseminating the results of mathematical research as an alternative to solving problems in the community. Grow and maintain moral and academic ethics. Improve the competence of lecturers to be more creative and professional in carrying out tasks.

Curriculum

In the 2014-2019 curriculum, the study load of master programs for students was set at 36 credits scheduled for 4 (four) semesters and a maximum of 8 (eight) semesters including completion of the thesis (ITS Academic Regulation 2014). Compulsory subjects consist of 5 courses (15 credits), namely Advanced Linear Algebra, Functional Analysis, Mathematical Computing, Mathematical Modeling and Numerical Analysis.

Study program master load for participants is at least 36 credits and a maximum of 50 credits are scheduled for 4 (four) semesters and can be taken in less than 4 (four) semesters and for a maximum of 10 (ten) semesters including the preparation of a thesis, after an undergraduate program, or an equivalent (Kepmendiknas No. 232 / U / 2000).

The lecture load that must be taken to complete the study at PSMM-ITS is 36 credits, with 4 semesters.

All courses are grouped as follows:

Subject groups are required: Advanced Linear Algebra (3ks), Functional Analysis (3ks), Mathematical Computing (3sks), Mathematical Modeling (3sks) and Numerical Analysis (3sks). With a total number of 15 credits, the number of credits for this course is 67% of the total credits that students must take.
Interest choice groups based on expertise in competencies including thesis writing amount to 21 credits, or 33%.

Expexted Learning Outcomes

Achievement Education Graduates
Attitude	1.1	fear of God Almighty and able to demonstrate a religious attitude
	1.2	uphold the values of humanity in the line of duty based on religion, morals, and ethics
	1.3	contribute to improve the quality of life of the society, the nation, the country and the progress of civilization based on Pancasila
	1.4	role as citizens who take pride and love of the country, had nationalism and sense of responsibility to the state and nation
	1.5	appreciate cultural diversity, religions, and beliefs, as well as the opinion or original findings of others
	1.6	in collaboration and social sensitivity and concern for people and the environment
	1.7	obey the law and discipline in the life of society and state
	1.8	internalize the values, norms, and academic ethics
	1.9	show an attitude responsible for the work in the field of expertise independently
	1.10	internalize the spirit of self-reliance, innovation, effort and entrepreneurship
	1.11	earnestly tries to achieve maximum results
	1.12	working together in order to take full advantage of the potential possessed
General skills	2.1	able to develop logical thinking, critical, systematic, and creatively through scientific research, the creation of the design or work of art in the field of science and technology that observe and apply the value of the humanities according to their expertise, develop scientific conception and the results of the study by the rules, ordinances, and scientific ethics in the form of a thesis or other equivalent form, and uploaded to the university website, as well as papers that have been published in national accredited scientific journals or accepted in international journals
	2.2	able to perform appropriate validation studies academic or assessments in their areas of expertise in solving problems in relevant communities or industries through the development of their knowledge and expertise
	2.3	able to develop ideas, the result of thinking, and scientific arguments in a responsible manner and on the basis of academic ethics, as well as communicating through the media to the academic community and wide community
	2.4	able to identify field of science that became the object of research and position into a road map research were developed through an interdisciplinary or multidisciplinary approach
	2.5	able to take decisions in the context resolve the issue of science and technology development that observe and apply the value of the humanities based studies or experimental analysis of the information and data
	2.6	able to manage, develop and maintain networking with colleagues, peers in the institution and the wider research community
	2.7	can improve the learning capacity independently
	2.8	capable of documenting, storing, securing, and rediscover the data research in order to ensure the validity and prevent plagiarism
	2.9	able to develop themselves and compete at national and international level
	2.10	able to implement an environmental insight in developing knowledge
	2.11	able to implement information and communication technologies in the context of the implementation of the work
Knowledge	3.1.1	Able to master and develop mathematical concepts in analysis and applied algebra
	3.1.2	Able to master and develop mathematical concepts in modeling and optimization system
	3.1.3	Able to master and develop mathematical concepts in mathematics computing
	3.2.1	Being able to follow knowledge of recent/latest issues, advanced, and frontier in mathematics
	3.2.2	Be able to formulate a real problem in mathematical models
	3.2.3	Being able to construct a computational algorithm to resolve issues related
	3.3.1	recent / lates issues, advanced, and frontier in mathematics
Special skill	4.1.1	Being able to apply mathematical subjects areas of analysis and applied algebra to support research in mathematics and other fields
	4.1.2	Being able to apply mathematical subjects field of Modeling and Optimization System to support environmental, residential, marine, energy, or information technology research
	4.1.3	Being able to apply mathematical subjects Computing field to support environmental research, residential, marine, energy, or information technology
	4.2.1	able to conduct a study on the accuracy of a mathematical model for an inter- or multi-disciplinary problem
	4.2.2	able to assest/simulate numerically to know the performance of a computing method
	4.3.1	capable of deepening or wider of sciencetific mathematics by producing models / methods / development of a tested and innovative theory

List of Courses

Download Silabus Kurikulum 2018 Program Studi Pascasarjana Departemen Matematika

Sem I

SEMESTER 1
No.	Course Code	Course Name	Credit
1.	KM185101	Module Theory	3
2.	KM185102	Functional Analysis	3
3.	KM185103	Mathematical Modeling	3
4.	KM185104	Numerical Computing	2
Total credits			11

Sem II

SEMESTER 2
No.	Course Code	Course Name	Credit
1.	KM1852xx	Compulsary Courses	6
2.	KM1852xx	Elective Courses	3
Total credits			9

Sem III

SEMESTER 3
No.	Course Code	Course Name	Credit
1.	KM1853xx	Elective Courses	8
Total credits			8

Sem IV

SEMESTER 4
No.	Course Code	Course Name	Credit
1.	KM185401	Thesis	8
Total credits			8

Elective Courses

SEMESTER 2
No.	Code	Compulsary Courses	Credits
1.	KM185211	Approximation Theory	3
2.	KM185212	Max-Plus Algebra	3
3.	KM185221	Dynamical Systems	3
4.	KM185222	Stochastics Calculus	3
5.	KM185231	Computational Algorithm	3
6.	KM185232	Mathematics of Machine Learning	3
No.	Code	Elective Courses	Credits
1.	KM185271	Discrete Transformation	3
2.	KM185272	Formal Verification	3
3.	KM185273	Systems and Controls	3
4.	KM185274	Computational Fluid Dynamics	3
5.	KM185275	Dynamical Optimization	3
6.	KM185276	Financial Mathematics	3
7.	KM185277	Digital Image Processing and Analysis	3

SEMESTER 3
No.	Code	Elective Courses	Credits
1.	KM185372	Mathematical Biology	3
2.	KM185373	Data Assimilation	3
3.	KM185374	Computational Biology	3
4.	KM185375	Mathematics of Derivatives	3
5.	KM185376	Risk Analysis	3
6.	KM185377	Graph Algebra	3
7.	KM185378	Theory of Computing	3
8.	KM185379	Wavelet and Applications	3
9.	KM185380	Advanced Partial Differential Equations	2
10.	KM185381	Inverse Problems	2
11.	KM185382	Fuzzy Systems	2
12.	KM185383	Graph and Applications	2
13.	KM185384	Topics of Applied Analysis	2
14.	KM185385	Topics of Computing	2
15.	KM185386	Topics of Mathematical Modeling	2
16.	KM185387	Topics of Applied Algebra	2
17.	KM185388	Topics of Optimization	2