Department of Mathematics
Courses Offered

Department of Mathematics

Courses Offered

 

  1. Vision: The vision of the Department is to be a premier institute of higher learning and research in Mathematics at National and International level.
  2. Mission: To prepare excellent academicians and software developers to cater for the needs of academic institutes and industries.

     3.Core Values of the Departments:

Morality and ethics

                     Professionalism and integrity

                     Openness and transparency

                      Creativity and innovativeness

                      Service to society

                     Student counselling

 

4 . Academic Programs offered with Intake.

Academic Program Intake
M.Sc. (Mathematics) 60
M.Sc. Tech (Industrial Mathematics with Computer Applications) 30
M.Phil. As per the intake shown by research guides
Ph.D.

 

5. Outcome base Education

   a. Program Education Objectives:

          A  . M.Sc. (Mathematics) :

1.To solve the problems in mass and heat transfer by using the methods on partial differential equations.

2. To train the students to handle the differentiation and integration in higher dimensions.

3. To solve real-life problems using numerical and wavelet analysis.

4. To use mathematical software to analyze the dynamical systems.

5. To study abstract structures.

6. To develop logical thinking.

         B. M.S.C Tech (Mathematics):       

                      1.Identify the central role of concurrency in systems programming and produce programs which generate and control a process, establish relationship and communication between multiple processes

                      2. Develop short system utilities and applications using system calls

                      3. To train the students to handle the differentiation and integration in higher dimensions.

4. To study abstract structures.

5. Design automata, regular expressions and context-free grammars for accepting or generating a certain language.

  b.Programme Outcomes :

           A. M.Sc. (Mathematics) :

1. To develop problem-solving skills and apply them independently to problems in pure and applied mathematics.

2. To develop abstract mathematical thinking.

3. To improve the abilities of students which will be helpful to qualify competitive examinations.

4. Apply knowledge of Mathematics, in all the fields of learning including higher research.

5. Work effectively as an individual, and also as a member or leader in multi-linguistic and multi-disciplinary teams.

6. To qualify lectureship and fellowship exams such as NET, GATE, SET etc.

7. Understand the basic concepts, fundamental principles and mathematical theories related to various courses and their relevance to other sciences.

           B.M.S.C Tech (Mathematics):       

                        1. Demonstrate basic knowledge in fundamentals of programming, algorithms and programming technologies and fundamentals of Computer Science.

                        2. Use research-based knowledge and research methods including design of experiments, analysis and interpretation of data, and synthesis of   the information to provide valid conclusions

                        3. Create, select, and apply appropriate techniques, resources, and modern  engineering and IT tools, including prediction and modelling to complex engineering activities, with an understanding of the limitations.

                        4. Communicate technical topics in written and verbal forms.

                        5. Develop the ability to design creative solutions to real life problems faced by the industry.

                        6. Improve the capability for self-learning.

7. Map their qualities of learning to demonstrate latest technology.

 

  C. CBCS with course Structure :

  Program Name : MSc (Mathematics)

 

 Semester I

Paper no Course Title Teaching hours per week Credits
CC-101 Advanced Calculus 5 4
CC-102 Linear Algebra 5 4
CC-103 Complex Analysis 5 4
CC-104 Classical Mechanics 5 4
CC-105 Ordinary Differential Equations 5 4
OE-106

Any one of the following

  1. 1. Operations Research-I
  2. 2. Mathematical Methods

Any course from other Department

5 4
AEC-106 Communicative English-I 2 2

 

Semester II

Paper no Course Title Teaching hours per week Credits
CC-201 Real Analysis 5 4
CC-202 Algebra 5 4
CC-203 Topology 5 4
CC-204 Numerical Analysis 5 4
CC-205 Partial Differential Equations 5 4
OE-206

Any one of the following

1.Operations Research-I

2.Integral Transforms

Any course from other Department

5 4
SEC-206 Fundamentals of Information Technology (FIT)-I 2 2

 

 Semester III

Paper no Course Title Teaching hours per week Credits
CC-301 Real Analysis 6 5
Any One of the following
DSE -302 Advanced Discrete  Mathematics 6 5
Topological Vector Spaces 6 5
Any One of the following

CCS-303,

CCS-304,

CCS-305

Number Theory 6 5
Operations Research – I 6 5
Fuzzy Mathematics –I 6 5
Fluid Dynamics 6 5
Fractional Calculus 6 5
General Relativity – I 6 5
Lattice Theory – I 6 5
Approximation Theory 6 5
Dynamical Systems – I 6 5
Graph Theory-I 6 5
Differential Geometry 6 5
Combinatorics 6 5
Commutative Algebra - I 6 5
Space Dynamics- I 6 5
Theory of Computation 6 5
AEC-306 Communicative English-II 2 2
EC (SWM MOOC)-307      

 

Semester IV

Paper no Course Title Teaching hours per week Credits
CC-401 Field Theory 6 5
Any One of the following
DSE -402 Integral Equations 6 5
Measure and Integration 6 5
Any One of the following

CCS-403,

CCS-404,

CCS-405

Algebraic Number Theory 6 5
Operations Research – II 6 5
Fuzzy Mathematics –II 6 5
Computational Fluid Dynamics 6 5
Fractional Differential Equations 6 5
General Relativity – II 6 5
Lattice Theory – II 6 5
Wavelet Analysis 6 5
Dynamical Systems – II 6 5
Graph Theory-II 6 5
Analysis on Manifolds 6 5
Theory of Distributions 6 5
Commutative Algebra - II 6 5
Space Dynamics- II 6 5
Automata Theory 6 5
SEC-406 Fundamentals of Information Technology (FIT)-II 2 2
GE-407 Introduction to Latex 2 2

 

Program Name: MSc Tech (Industrial Mathematics with Computer Applications)

Semester I

Paper no Course Title Teaching hours per week Credits
CC- 101 Advanced Calculus 4 4
CC- 102 Linear Algebra 4 4
CC- 103 Discrete Mathematical Structures -I 4 4
CC- 104 Computer Architecture 4 4
CC- 105 Object Oriented Programming 4 4
CCPR-106 Lab Course- I 8 4
AEC-107 Communicative English-I 2 2

 

Semester II

Paper no Course Title Teaching hours per week Credits
CC-201 Numerical Analysis 4 4
CC-202 Algebra 4 4
CC-203 Discrete Mathematical Structures -II 4 4
CC-204 Data Structures 4 4
CC-205 Database Management System 4 4
CCPR-206 Lab Course -II 8 4
SEC-207 Fundamentals of Information Technology (FIT)-I 2 2

 

Semester III

Paper no Course Title Teaching hours per week Credits
MTT 301 Complex Analysis 4 4
MTT 302 ODE 4 4
MTT 303 DAA -I 4 4
MTT 304 Database System 4 4
MTT 305 Object Oriented Programming with C++ 4 4
MTT 306 Lab Work III 10 5

 

Semester IV

Paper no Paper no Teaching hours per week Credits
MTT 401 Real Analysis 4 4
MTT 402 Operations Research 4 4
MTT 403 DAA -II 4 4
MTT 404 PHP with MySQL 4 4
MTT 405 Java Programming 4 4
MTT 406 Lab Work IV 10 5

 

Semester V

Paper no Course Title Teaching hours per week Credits
MTT 501 Advanced Web Technology 4 4
MTT 502 Software Engineering 4 4
MTT 503 Computer Networks 4 4
MTT 504 Cyber Security 4 4
MTT 505

Departmental Electives
      1. Compiler Techniques
      2. Linux Operating System
      3. Android Programming
      4. Machine Learning

4
4
MTT 506 Lab Work  5  5

 

Semester VI

Paper no Course Title Teaching hours per week Credits
MTT 601 A. Industrial Project 14 week project 24
B. Technical Communication Total 15 lectures 1

 

Open Electives

Semester Title of Course Instruction hrs / week Intake Capacity Eligibility Marks and exam  Credits
ODD Discrete Mathematical Structures - 1 4 15 Science and Technology As Per MTT 103 4
ODD Programming in C 4 15 Science and Technology As Per MTT 105 4
EVEN Discrete Mathematical structure - 2 4 15 Science and Technology As Per MTT 203 4

 

Semester Title of Course Instruction hrs / week Intake Capacity Eligibility Marks and exam  Credits
ODD ODE 4 15 Science and Technology As Per MTT 302 4
ODD Object Oriented Programming with C++ 4 15 Science and Technology As Per MTT 305 4
EVEN Operations Research 4 15 Science and Technology As Per MTT 402 4

 

 


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