School of Engineering and Sciences
Department of Mathematics
Specialisations
Introduction to the Programme
This course is a combination of mathematics emboldened with data science & computer-assisted simulations. The curriculum has been designed in order to fulfil the current demands of applicable mathematics without altering the essence of basic mathematics courses. To make it more aligned with the latest education policy and give diverse opportunities to the students, a wide variety of elective courses have been included.
Salient features:
a) In-depth theoretical background and practical training for pursuing higher studies and research in pure and applied mathematics
b) Create a platform for higher studies and research in mathematics, computing, and inter-disciplinary areas.
c) Prepare students to qualify for various national and international competitive examinations.
Aims and Objectives of the Programme
Sound knowledge in a discipline can only lead to excellence in the art of teaching. The master’s in mathematics at SRM University AP should nurture a prospective student into research and become industry-ready. It is our goal to facilitate students to continue work at institutions of national importance and abroad.
For this, we offer the programme under three themes of study:
And each theme of study has a common curriculum of fundamental courses in semesters I and II. Further, additional support and guidance will be provided in preparing for the competitive examinations, viz, CSIR-UGC-NET, GATE, GRE.
Programme Educational Objectives (PEO)
Programme Specific Outcomes (PSO)
Programme Outcomes (PO)
Capable of demonstrating comprehensive knowledge and understanding of one or more disciplines that form a part of an undergraduate program of study.
Ability to evaluate the reliability and relevance of evidence; Capacity to extrapolate from what one has learned and apply their competencies to solve different kinds of non-familiar problems, rather than replicate curriculum content knowledge; and apply one’s learning to real-life situations.
Capability to apply analytic thought to a body of knowledge; analyse and evaluate evidence, arguments, claims, and beliefs based on empirical evidence; identify relevant assumptions or implications; formulate coherent arguments; critically evaluate practices policies and theories by following a scientific approach to knowledge development. Critical sensibility to lived experiences, with self-awareness and reflexivity of both self and society.
Ability to analyse, interpret and draw conclusions from quantitative/qualitative data and evaluate ideas, evidence and experiences from an open-minded and reasoned perspective pertaining to incorporating in a system.
A sense of inquiry and capability for asking relevant/appropriate questions, problematising, synthesising, and articulating; Ability to recognise cause-and-effect relationships, define problems, formulate hypotheses, test hypotheses, analyse, interpret and draw conclusions from data, establish hypotheses, predict cause-and-effect relationships; ability to plan, execute and report the results of an experiment or investigation.
Capability to use ICT in a variety of learning situations; demonstrate the ability to access, evaluate, and use a variety of relevant information sources; and use appropriate software for analysis of data.
Understand the impact of scientific solutions in societal and environmental contexts and demonstrate the knowledge of and need for sustainable development.
Possess knowledge of the values and beliefs of multiple cultures and a global perspective; and capability to effectively engage in a multicultural society and interact respectfully with diverse groups; Ability to embrace moral/ethical values in conducting one’s life, formulate a position/argument about an ethical issue from multiple perspectives, and use ethical practices in all work. Capable of demonstrating the ability to identify ethical issues related to one’s work. Avoid unethical behaviour such as fabrication, falsification or misrepresentation of data or committing plagiarism, not adhering to intellectual property rights, appreciating environmental and sustainability issues, and adopting objective, unbiased and truthful actions in all aspects of work.
Ability to work effectively and respectfully with diverse teams; facilitate cooperative or coordinated effort on the part of a group and act together as a group or a team in the interests of a common cause; and work efficiently as a member of a team.
Ability to express thoughts and ideas effectively in writing and orally; Communicate with others using appropriate media to confidently share one’s views and express herself/himself; demonstrate the ability to listen carefully, read and write analytically, and present complex information clearly and concisely to different groups.
Capability for mapping out the tasks of a team or an organisation, setting direction, formulating an inspiring vision, building a team that can help achieve the vision, motivating and inspiring team members to engage with that vision, and using management skills to guide people to the right destination, in a smooth and efficient way.
Ability to work independently, identify appropriate resources required for a project, and manage a project through to completion; Ability to acquire knowledge and skills, including “learning how to learn”, that is necessary for participating in learning activities throughout life, through self-paced and self-directed learning aimed at personal development, meeting economic, social and cultural objectives, and adapting to changing trades and demands of the workplace through knowledge/skill development.
Curriculum Highlights
The curriculum is designed to provide students with an in-depth theoretical background and practical training in both pure and applicable mathematics. In particular, the diverse spectrum of open electives enables a student to develop a career of his chosen one, either academia or industry. Moreover, a student becomes competent to take challenges in mathematics at national and international levels. A few topics that make this course unique:
a) Stochastic Differential Equations
b) Mathematics for Artificial Intelligence and Machine Learning
c) Mathematical Statistics
d) Applied Linear Algebra
e) Theory of Optimization
f) Dynamical systems
g) Harmonic analysis
h) Number theory
The main goal is to:-
i) acquire the knowledge and explaining of pure mathematics covering analysis and algebra and the ability to apply this knowledge in other fields.
ii) use of applied mathematics courses such as Numerical Analysis, Operations Research, Probability and Statistics; and Mechanics to solve real-life problems.
Semester I
- Community Engagement and Social Responsibility
- Effective Communication for Impactful Interviews
- Introduction to R and Python
- Linear Algebra
- Algebra
- Real Analysis
- Programming using C andOctave/Matlab
- Data Science for Beginners
Semester II
- Community Engagement and Social Responsibility
- Entrepreneurial Mindset
- Research Design and Methods
- DSIM / Pure / Applied Elective 1
- DSIM / Pure / Applied Elective 2
- Ordinary Differential Equations
- Probability and Statistics
- Design Thinking
- Summer Internship (Industry)
Semester III
- Research Seminar
- Numerical Methods and Analysis
- Partial Differential Equations and Calculus of Variations
- DSIM / Pure / Applied Elective 3
- DSIM / Pure / Applied Elective 4
- DSIM / Pure / Applied Elective 5
- Project 1
Semester IV
- Project 2