D.K.M College For Women

( AUTONOMOUS )

Vellore - 1

Affiliated To Thiruvalluvar University

Accredited by NAAC with 'A' Grade with a CGPA of 3.22 out of 4 in the 4th Cycle

Admission Help Line Numbers

Aided - 9488600147 / 9688510584
Unaided - 9489537911 / 9443341270

Department of Mathematics / கணிதம்

Department of Mathematics

Year of Establishment
B.Sc (Aided)
:
1980
B.Sc (UnAided)
:
2015
M.Sc
:
2007
M.Phil
:
2012
Ph.D
:
2013
Department Highlights
  • The department remains very active and vibrant in conducting enrichment programs to promote students in the field of Mathematics.
  • The department offers a rich Mathematical environment where students are actively encouraged to participate in Seminars/ Conferences / Workshops.
  • Every year department conducts Seminars/ Conferences / Workshops and Association Activities .
  • Intercollegiate competitions are also being conducted in the department.
Teaching Highlights
  • The department has undergone considerable development in terms of teaching and research.
  • The course aims to provide a deeper understanding of Mathematics.
  • The learning environment is very dynamic.
  • Assignment, seminars and test are conducted frequently.
  • Soft skill training is given to students to enhance their communication skills.
  • Supports the students by issuing books from the departmental library.
Scope of Course

Some of the job opportunities are

  • Assistant Professor in Colleges
  • School Teachers
  • Employment in Banking sectors and other private sectors.
  • Placement in IT companies like INFOSYS, WIPRO, CTS, TCS, HCL, IBM etc.
  • Private tuition centres.
  • Employment in Government sectors.
Course Highlights

A Mathematical degree program involves a combination of Pure Mathematics(Theory and Abstract) and Applied Mathematics(Practical Applications). As society becomes more technically dependent, there will be an increasing requirement for people with the working knowledge of Mathematics. The Math knowledge inculcates in students a broad range of skills in problem solving, logical reasoning and flexible thinking. This leads to careers that are exciting, challenging and diverse in nature.

DEPARTMENT OF MATHEMATICS
B.SC MATHEMATICS
Program Objective
  1. Develop mathematical curiosity and use inductive and deductive reasoning while solving
  2. Develop the knowledge, skills and attitudes necessary to pursue further studies in
  3. Apply the knowledge of Mathematical concepts in interdisciplinary fields.
  4. Qualify competitive examinations.
  5. Communicate Mathematical ideas with clarity and coherence, both written and verbally.
Programme Educational Objectives
  1. To develop problem-solving skills and apply them independently to problems in pure and applied mathematics.
  2. To develop abstract mathematical and analytical thinking.
  3. Ability to pursue advanced studies and research in pure and applied mathematical science.
  4. To train students to develop their positive attitude skills which will enable them to become multi-facet personality shining in any chosen field.
  5. Enhances Logical reasoning skills, arithmetic skills, aptitude skills, communication skills and self-confidence for better employability.
Programme Outcomes
  1. Students majoring in Mathematics attain proficiency in Critical thinking, Problem 
    
    solving and performing computations in higher mathematics and logical reasoning.
  2. Demonstrate proficiency in writing proofs.
  3. Formulate and analyze mathematical problems, precisely define the key terms, and draw clear and reasonable conclusions.
  4. Use mathematical ideas to solve real-world problems.
  5. Students will be able to enhance their analytical thinking to solve problems.
  6. Access and apply knowledge of computing and mathematics appropriate to the connected areas.
  7. Students will become employable and they will be eligible for career opportunities in the industry or will be able to opt for entrepreneurship.
  8. Students will possess basic subject knowledge required for higher studies, professional and apply for courses like Management Studies, Law etc.
  9. Familiarize the students with suitable tools of mathematical analysis to handle issues and problems in mathematics and related sciences.
  10. Able to identify, locate, formulate and evaluate effectively using mathematical tools in a logical manner.
Programme Specific Outcomes
  1. Understand the various concepts in group theory, ring theory, field theory, metric spaces, and number theory.
  2. Analyze and appreciate the concepts in abstract mathematics.
  3. Understand the fundamental axioms in mathematics and the capability of developing ideas based on the same.
  4. Inculcate mathematical reasoning.
  5. Prepare and motivate students for research studies in mathematics and related fields.
  6. Assimilate complex mathematical ideas and arguments.
  7. Acquire good knowledge and understanding in advanced areas of mathematics.
  8. Understand, formulate and use quantitative models arising in social science,
Business and other contexts.
  1. The students can use computational and algorithmic versions to solve problems.
  2. Students are equipped with mathematical modeling ability and problem-solving skills for employability.
B.SC. MATHEMATICS (With effect from 2021 – 2022) CBCS PATTERN WITH OUTCOME BASED EDUCATION
THE COURSE OF STUDY AND THE SCHEME OF EXAMINATIONS
S.No Part Study Components Ins. Hrs./Week Credit Title Of The Paper Syllabus
Course title
SEMESTER-I
1 I Language Paper I 6 4 Tamil –I /other language View
2 II English Paper I 6 4 English –I View
3 III Core Paper I 5 4 Algebra View
4 III Core Paper II 4 4 Trigonometry view
5 III Allied Theory Paper I 4 4 Allied Physics-I/ Allied Mathematical Statistics- I view
6 III Allied Practical Practical I 3 0 Allied Practical: Physics/ Mathematical Statistics view
7 IV EVS 2 2 EVS view
SEMESTER-II
1 I Language Paper II 6 4 Tamil –II /other language View
2 II English Paper II 4 4 English –II View
3 III Core Paper III 5 4 Calculus View
4 III Core Paper IV 4 4 Solid Geometry View
5 III Allied Theory Paper II 4 4 Allied Physics-II/ Allied Mathematical Statistics- II view
6 III Allied Practical Practical I 3 2 Allied Practical: Physics/ Mathematical Statistics View
7 IV Value Education 2 2 Value Education view
8 IV Soft Skill 2 1 Soft Skill view
SEMESTER-III
1 I Language Paper III 6 4 Tamil –III /other language View
2 II English Paper III 6 4 English –III View
3 III Core Paper V 4 4 Differential Equations and Laplace Transforms view
4 III Elective Paper I 4 3 Fourier Analysis View
5 III Allied Paper III 6 5 Financial Accounting I view
6 IV Skill Based Subject I 2 2 Mathematics for competitive Examinations View
7 IV Non Major Elective I 2 2 Functional Mathematics view
SEMESTER-IV
1 I Language Paper IV 6 4 Tamil –IV /other language View
2 II English Paper IV 6 4 English –IV View
3 III Core Paper VI 4 4 Abstract Algebra view
4 III Elective Paper II 4 3 Vector Analysis view
5 III Allied Paper IV 6 5 Financial Accounting- II View
6 IV Skill Based Subject II 2 2 Business Statistics with R Programming View
7 IV Non Major Elective II 2 2 Functional Statistics View
SEMESTER-V
1 III Core Paper VII 6 4 Linear Algebra View
2 III Core Paper VIII 6 4 Real Analysis- I View
3 III Core Paper IX 6 4 Statics View
4 III Core Paper X 5 3 Operations Research-I View
5 III Elective Paper III 5 3 Graph Theory View
6 IV Skill Based Subject III 2 2 Numerical Methods View
SEMESTER-VI
1 III Core Paper XI 5 4 Real Analysis- II View
2 III Core Paper XII 5 4 Dynamics View
3 III Core Paper XIII 5 4 Complex Analysis View
4 III Core Paper XIV 5 3 Programming in C Language- Theory View
5 III Core Practical Practical I 3 2 Computer Practical in C language View
6 III Elective Paper IV 5 3 Operations Research-II View
7 IV Skill Based Subject IV 2 2 Mathematical Modelling with Spreadsheet View
8 V Extension Activities - 3
DEPARTMENT OF MATHEMATICS
Program Objective
  1. To provide a comprehensive curriculum to groom the students into qualitative scientific manpower.
  2. Enable students to enhance mathematical skills and understand the fundamental concepts of pure and applied Mathematics.
  3. To provide qualitative education through effective teaching learning processes by introducing projects, participative learning and latest software tools.
  4. To inculcate innovative skills, team work, ethical practices among students so as to meet societal expectations.
  5. To encourage collaborative learning and application of mathematics to real life situations.
  6. To inculcate the curiosity for mathematics in students and to prepare them for future research
Programme Educational Objectives
  1. To develop abstract mathematical thinking.
  2. Apply their knowledge in modern industry or teaching or secure acceptance in high quality graduate in Mathematics.
  3. Development in their chosen profession and / or progress toward an advanced degree.
  4. Graduates will become effective collaborators and innovators leading to address social and technical challenges
  5. Promote the culture of interdisciplinary research among all disciplines and Applied Mathematics.
Programme Outcomes
  1. Students will be able to apply knowledge of Mathematics, in all the fields of learning including higher research and its extensions.
  2. Innovate, invent and solve complex mathematical problems using the knowledge of pure and applied mathematics.
  3. Able to explain the knowledge of contemporary issues in the field of Mathematics and applied sciences.
  4. Work effectively as an individual, and also as a member or leader in multi-linguistic and multi-disciplinary teams. Adjust themselves completely to the demands of the growing field of mathematics by lifelong learning.
  5. Effectively communicate about their field of expertise on their activities with their peer and society.
  6. Crack leadership and fellowship exams approved by UGC like CSIR –NET and SET.
  7. Capability to use appropriate software like Matlab to solve various problems and interpret the results.
  8. Become an enlightened citizen withcommitment to deliver one’s responsibilities within the scope of bestowed rights and privileges.
  9. Imbibe effective scientific and technical communication skills.
  10. Ability to evaluate the reliability and relevance of evidence identify logical flaws and holes in the arguments of others; analyze and synthesize data from a variety of sources; draw valid conclusions.
Programme Specific Outcomes
  1. Apply the knowledge of Mathematical concepts in interdisciplinary fields.
  2. Understand the nature of abstract mathematics and explore the concepts in further details.
  3. Identify challenging problems in mathematics and find appropriate solutions.
  4. Model the real-world problems in to mathematical equations and draw the inferences by finding appropriate solutions.
  5. Pursue research in challenging areas of pure/applied mathematics.
  6. Employ confidently the knowledge of mathematical software and tools for treating the complex mathematical problems and scientific investigations.
  7. Continue to acquire mathematical knowledge and skills appropriate to professional activities and demonstrate highest standards of ethical issues in mathematics.
  8. Comprehend and write effective reports and design documentation related to mathematical research and literature, make effective presentations.
  9. Qualify national level tests like NET/GATE etc.
  10. Effectively communicate and explore ideas of mathematics for propagation of knowledge and popularization of mathematics in society.
M.SC. MATHEMATICS (With effect from 2021 – 2022) CBCS PATTERN WITH OUTCOME BASED EDUCATION
THE COURSE OF STUDY AND THE SCHEME OF EXAMINATIONS
S.No Study Components/Course Title Paper Ins. Hrs/ Week Credits Title of the paper Syllabus
SEMESTER-1
1 Core Paper I 6 4 Algebra - I View
2 Core Paper II 6 5 Real Analysis - I View
3 Core Paper III 6 5 Ordinary Differential View
Equations
4 Core Paper IV 6 5 Mechanics View
5 Elective Paper I 6 3 Graph Theory View
6 Self Study Paper - 2 Skill Enhancement in Algebra and Analysis View
SEMESTER II
7 Core Paper V 5 4 Algebra – II View
8 Core Paper VI 6 5 Real Analysis - II View
9 Core Paper VII 6 5 Partial Differential Equations View
10 Core Paper VIII 6 5 Differential Geometry View
11 Elective Paper II 5 3 Operations Research View
12 Compulsory Paper 2 2 Human Rights View
Optional- Internship Training during summer vacation with an extra credit :1- 2
SEMESTER III
13 Core Paper IX 6 4 Complex Analysis-I View
14 Core Paper X 6 5 Calculus of Variations View
15 Core Paper XI 6 5 Topology View
16 Core Paper XII 6 5 Probability Theory View
17 Elective Paper III 6 3 Numerical Analysis View
18 Self Study Paper - 2 MATLAB View
-
SEMESTER IV
19 Core Paper XIII 6 4 Complex Analysis-II View
20 Core Paper XIV 6 5 Mathematical Statistics View
21 Core Paper XV 6 5 Functional Analysis View
22 Elective Paper IV 6 3 Difference Equations View
23 Project with Viva Voce (Using Latex) 6 5 -
  • Separate library in the department
  • Separate computer in the department
  • Smart class room facilities
  • Conference hall for conducting seminars/conferences/special guest lecture meetings/workshop
  • WiFi connection to access the internet 24 x 7
  • Separate computer lab with 34 computers and 2 printers for conducting C Programming classes.

Aided

Name Staffcode Designation View Profiles
Mrs.   G . VINU PRIYA 308MAA02 Head & Assistant Professor Click Here
Mrs.  Dr. N. NITHYAPRIYA 308MAA03 Assistant Professor Click Here
Mrs.  Dr. M. DEVI 308MAA04 Assistant Professor Click Here
Mrs.  Dr. M. KASTHURI 308MAA05 Assistant Professor Click Here

Retired Faculties ( Aided )

Name Staffcode Designation View Profiles
  Dr.Mrs.K.AMEENAL BIBI 308MAA01 Associate Professor

Unaided

Name Staffcode Designation View Profiles
Mrs.R.RAMYA 308MAUA01 Head & Assistant Professor Click Here
Mrs.B.VIJAYALAKSHMI 308MAUA02 Assistant Professor Click Here
Mrs.C.REVATHI 308MAUA03 Assistant Professor Click Here
Mrs. VANDAR KUZHALI 308MAUA04 Assistant Professor Click Here
Mrs.S.LOKESHWARI 308MAUA05 Assistant Professor Click Here
Mrs. M.AMUDHA 308MAUA06 Assistant Professor Click Here
Mrs. A. MANTHRA 308MAUA07 Assistant Professor Click Here
Mrs. R.KALPANA 308MAUA08 Assistant Professor Click Here
Relieved Faculty
Name Staffcode Designation View Profiles
Dr. T. RANJANI - Assistant Professor Click Here
Mrs. S. BABY SHALINI - Assistant Professor Click Here
Mrs.B. SARALA - Assistant Professor Click Here
Ms.Y. VISHNU PRIYA - Assistant Professor Click Here
Mrs. N. MYTHILI - Assistant Professor Click Here
2022 - 2023
S.No Name and Nature of Programme Date of the Programme Title/Topic Report
1. International Seminar 03.11.2022 Applications of Mathematics in Data Science associated with Machine Learning.  View
2021-2022
S.No. Name and Nature of Programme   Date of the Programme Title/Topic Report  
1. Webinar 30.10.2021 National Innovation Day titled Business Incubation Early Stage Entrepreneur View
2. National Mathematics Day 16.11.2021 Ramanujan History, Inventions and Significance View
3. Guest Lecture 11.12.2021 The Applications of Mathematics in Artificial Intelligence and Machine Learning View
3. Awareness Programme 08.03.2022 Cyber Crime Awareness Programme View
2020-2021
S.No. Name and Nature of Programme   Date of the Programme Title/Topic Report  
1. Exclusive Virtual Power Seminar 16.07.2020 Job Skills to Succeed in The Post Pandemic World View
2. Mathematics Association Meet (Aided) 23.02.2021 Mathematical Models for Social Science Research View
3. Mathematics Association Meet (Unaided) 01.03.2021 Role of Fuzzy Sets in Graph View
2019 - 2020
S.No Name of the Programme Date of the Programme Title/ Topic Report
1. International Seminar 19.08.2019 Recent Advancements in Mathematics View 
2. Guest Lecture 26.08.2019 Application of Nano Technology in Various Fields View 
3. Association Meeting 23.09.2019 Introduction to Chemical Indices View 
4. Faculty Development Programme 30.04.2020 to 04.05.2020 Latex and Scilab  View
5. International Webinar 29.05.2020 Recent Research Trends  View
2018 -2019
S.No Name of the Programme Date of the Programme Title/ Topic Report
1. National Level Seminar 25.01.2019 Recent Trends in Discrete Mathematics  View
2. Association Meeting 01.02.2019 Cubic Roots Algorithm and Number Theory Results  View
3. Guest Lecture Programme 01.02.2019 An Introduction to Game Theory  View
2017 - 2018
S.No Name of the Programme Date of the Programme Title/ Topic Report
1. Association Meeting 16.02.2018 Applications of Mathematics and the famous Mathematician  View
2. State Level Seminar 19.02.2018 Recent Trends in Mathematics  View
3. Certificate Course 11.09.2017 to 13.10.2017 (15 days) Quantitative Aptitude, Logical Reasoning and Interview Training  View
2016 -2017
S.No Name of the Programme Date of the Programme Title/ Topic Report
1. Association Meeting 14.02.2017 Applications of Mathematics in Real life and Mathematicians  View
2.   State Level Seminar   15.02.2017   Applications of Mathematics View 
Mathematical Simulation and Approximation in Nanotechnology
3. Certificate Course(Aided) 08.09-2016 to 26.10.2016 (15 days) Quantitative Aptitude, Logical Reasoning and Interview Training  View
4. Certificate Course(UnAided) 11.01.2016 to 23.03.2016 (15 days) Quantitative Aptitude, Logical Reasoning and Interview Training  View