MA781 Research Methodology in mathematical sciences 

MA781 Research Methodology in Mathematical Sciences

Credits: 4 – 0 – 0

Course Learning Objectives: The objective of this course is to

1. teach the research ethics, plagiarism rules and preparation of manuscripts.

2. discuss different concepts on technical writing.

3. explore scientific writing skills and policies for dissemination of results.

4. familiarize with simulation tools for mathematical computations.

5. equip to use documentation software for typesetting manuscripts and slides.

Course Content:

 Research methodology and ethics – Nature of research qualifications – Review of literature – Basic research – Applied research – Research methods – Research process – Research ethics – Intellectual properties.

English for technical writing – Research writing – Writing process – Organizing an argument –Academic integrity.

Scientific writing and presentation – Identifying journals – Abstracting and indexing of journals –Plagiarism rules – Organizing the document – Writing and publishing research papers related to Ph.D. thesis.

Simulation with software – Numerical matrix computation – Data fitting techniques and practical case studies – Root finding – Optimization and practical case studies – Solving ordinary and partial differential equations.

Documentation – Introduction to LaTeX – Changing the type style – Symbols – Mathematical formulae– Commands and environments – Figures and floating bodies – Line and page breaking – Fonts, errors and the bibliography database – Creating slides using Beamer. 

Reference Books:

1. D. H. Mcburney, Research Methods, Thomson Asia Pvt Ltd, 2002.

2. J. A. Tarutz, Technical Editing: The Practical Guide for Editors and Writers, Hewlett-PackardPress, 1992.

3. R. A. Day, N. Sakaduski, Scientific English: A Guide for Scientists and Other Professionals, 3rdedition, Greenwood Press, 2011.

4. A. Gilat, MATLAB – An introduction with applications, 6th edition, Wiley, 2023.

5. L. Lamport, LATEX: A Document Preparation System. Addison-Wesley, 1994.

Course Outcomes: On completion of the course, students will be able to

1. understand research ethics, plagiarism and intellectual property rights.

2. analyse multi-variable functions, metric spaces, holomorphic functions, groups, rings and fields.

3. solve multiple integrals and higher order/simultaneous differential equations.

4. simulate mathematical problems using software.

5. prepare manuscripts and slides using LaTeX