Department of


Syllabus for

1 Semester  2019  Batch  
Paper Code 
Paper 
Hours Per Week 
Credits 
Marks 
RES131  FOUNDATIONS OF RESEARCH  4  4  100 
RES132  RESEARCH PUBLICATION  4  4  100 
RSC131  METHODS IN RESEARCH FOR SCIENCE  4  4  100 
 
Assesment Pattern  
Each paper of the semester will be assessed upon 100 marks (Continuous Internal Assessment (CIA) – 45 marks, Attendance –5 marks and End Semester Examination  50 marks). The internal assessment (comprising various components such as seminar, literature survey, presentation, class test and so on) will be done periodically and the CIA marks will be sent to the Controller of Examination through Dean of Science and a copy forwarded to the General Research Coordinator as per the following guidelines: CIA 1: 10 Marks assessment CIA 2: 25 Marks assessment CIA 3: 10 Marks assessment The end semester examination will be conducted at the end of second semester for Research Methodology and for each elective paper. The Maximum marks for each paper will be 100 and the duration is three hours.
Adjudication of the M. Phil Dissertation The dissertation submitted by the candidate under the guidance of the guide will be assessed by two experts (one internal and one external). The candidates also have to appear for final vivavoce. Assessment based on the vivavoce and the dissertation, along with the assessment of theory papers of both I & II semesters will be considered to declare the results.
 
Examination And Assesments  
 
Department Overview:  
Department of Mathematics, Christ University is one of the oldest departments of the University. It offers programmes in Mathematics at the undergraduate level, post graduate level as well as M.Phil and Ph.D. The department aims to
* enhance the logical, reasoning, analytical and problem solving skills of students.
* cultivate a research culture in young minds.
* foster aesthetic appreciation for mathematical thinking.
* encourage students for pursuing higher studies in mathematics.
* motivate students to uphold scientific integrity and objectivity in professional endeavors.  
Mission Statement:  
Vision:
Excellence and Service
Mission:
To organize, connect, create and communicate mathematical ideas effectively, through 4D?s; Dedication, Discipline, Direction and Determination.  
Introduction to Program:  
The Master of Philosophy Programme in Mathematics is being offered based on a credit system similar to the other programmes offered by the University. The M. Phil. programme has two semesters with each semester spreading through 15 weeks. The candidate has to submit the dissertation within two months after the second semester ends. It can be extended by two more months on specific request. Those who fail to submit the dissertation within the extended time period can register for a further extension of four more months with a payment of 50% of the course fee. There will be only two repeat chances (within three years after registration) for the course work papers and no revaluation of papers at any stage of the program. The time taken from the admission till the submission of the dissertation shall be considered as the duration of the M. Phil. Program.  
Program Objective:  
Programme Objective:
POBJ1. To provide learners with an indepth knowledge, abilities and insight in specialized topics in Mathematics.
POBJ2. Research Methodology in Mathematics.
POBJ3. To encourage collaborative learning through dissertation and research activities so that they can pursue research programmes.
POBJ4. To provide a platform for the learner to engage in various academic activities independently or in a group.
Programme Outcomes:
PO1. To be able to explain mathematical principle to formulate, model and hence find solutions to practical problems.
PO2. To be able explain the advantages, limitations, importance of mathematics and its techniques to solve problems in specialized topic.
PO3. To acquire the skills which are necessary to do research/higher studies in the areas of the specialized topic.
PO4. The learner will be able to become a good teacher or researcher in mathematics so that he/she can communicate the subject with others in an efficient way.  
RES131  FOUNDATIONS OF RESEARCH (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 
Max Marks:100 
Credits:4 
Course Objectives/Course Description 

Philosophical foundations of research are the scenario of higher education provided. Various approaches to research, review of literature and application of theory are also included. 

Learning Outcome 


Unit1 
Teaching Hours:14 
Philosophical foundations of Research


Ethics and values in Research, Scope of Interdisciplinary, multidisciplinary and cross disciplinary research, Doctoral Supervision and supervisory styles, Types of Doctoral Research and implications, Pedagogy and Research: Research Informed teaching and Problem Based learning  
Unit2 
Teaching Hours:16 
Higher Education


History of Higher Education, The notion of University, Disciplines and Domain knowledge, Accreditations and Educational Policy, The Public Intellectual  
Unit3 
Teaching Hours:16 
Approaches to Research & Review of literature


Quantitative, Qualitative and mixed methods, Relationship between Research Paradigms, Designs and methods, Research Designs and its types, Research methods, Conceptualisation of Research problem in different research approaches, Research questions, Review of literature: Research Topic, Review of Literature in quantitative, qualitative and mixed methods, Steps in conducting Literature Review, Literature map, Abstracting studies, Literature Summary matrix, , Types of Reviews, Identification of Research Gap, Overview of Style manuals, Operational and Theoretical Definitions  
Unit4 
Teaching Hours:14 
Application of theory


Theory in quantitative research, Writing a Quantitative theoretical framework, Theory in Qualitative and mixed methods, Research proposals format for quantitative, Qualitative and mixed methods (Practical)  
Text Books And Reference Books: Creswel, J. W. (2009). Research design: Qualitative, quantitative, and mixed methods approaches. Los angeles: University of Nebraska–Lincoln.  
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
RES132  RESEARCH PUBLICATION (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 
Max Marks:100 
Credits:4 
Course Objectives/Course Description 

This course introduces the candidates to various journals, proceedings, books and conferences. It also helps them in collaborating with the scholars of various fields. Learning Objectives


Learning Outcome 

On Successful completion of this course, research scholars will be able to:

Unit1 
Teaching Hours:15 
Quality Measures of Journals


 
Unit2 
Teaching Hours:15 
Journal Publishing


 
Unit3 
Teaching Hours:15 
Article Submission


 
Unit4 
Teaching Hours:15 
Academic Collaboration


 
Text Books And Reference Books: Coser, L. A., Kadushin, C., & Powell, W. W. (1982). Books: The culture and commerce of publishing (p. 22). New York: Basic Books.  
Essential Reading / Recommended Reading
 
Evaluation Pattern
 
RSC131  METHODS IN RESEARCH FOR SCIENCE (2019 Batch)  
Total Teaching Hours for Semester:60 
No of Lecture Hours/Week:4 
Max Marks:100 
Credits:4 
Course Objectives/Course Description 

This course introduces scholars to the Python Programming, MATLAB, Origin, Tikz and LaTeX Draw, thus enabling them to develop skills of numeric computation, data analysis and visualization, programming and algorithm development and application development. Course Learning Objectives


Learning Outcome 

On successful completion of the course, the students should be able to:

Unit1 
Teaching Hours:16 
Origin: Data Analysis and Technical Graphics Software


Introduction to ORIGIN, Introduction to ORIGIN Graphing Elements, Creating Simple Graphs, Graph Customization and Technicalities, Workbook, Worksheets and Columns, Graphical Exploration of Data, Themes and Templates, Graphing Data from multiple sheets, Row Statistics, Data Analysis [Peak Analysis, Curve Fitting, Statistics].  
Unit2 
Teaching Hours:14 
Python Programming


Installation, IDES, Introduction, Hardware components, Software components, The Operating system, Programming in Python, formatted printing, Visualizing data with graphs, Algebra and symbolic math with Symphy, Graphs as a python class, Graph Density, Distance and diameter of a graph, The complete python graph class.  
Unit3 
Teaching Hours:14 
Data analysis using MATLAB


Introduction to MATLAB [Variables, Matrices, Builtin Functions, Arrays, Structure, Cell], MATLAB Programming [Inline functions, control structures, Programming syntax, Script files and Functions files], solution of Differential equations, Data Visualization and Data Exploration Techniques [Data import/export, Plots, Statistics basics], Models for Data Analysis [Regression Models, Classification Models [Using of Statistic Toolbox].  
Unit4 
Teaching Hours:16 
Latex and Tikz


Introduction, Preparing an input file, The document, Document class, The title page, Changing the type style, Mathematical formulas, Mathematical Symbols, Defining commands and environments, Other document classes, Pictures and colors, Erros, The bibliography database, Reference manual, Drawing lines and curves using Tikz, Filling up areas, Putting labels in Pictures, Integration with beamer.  
Text Books And Reference Books:
 
Essential Reading / Recommended Reading
 
Evaluation Pattern
