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INSTITUTE OF TECHNOLOGY
BANARAS HINDU UNIVERSITY
Five Year Integrated M. Tech. in Mathematics and Computing

First Year

I Semester for FIRST group of students / II Semester for SECOND group of students+

Subject Code

Subjects

Contact
Hours/Week

Credit

AM-1101
AP-1101/1201
AC-1101/1201
ME-1101/1201
AM-1103/1203

     1. Mathematics I
     2. Physics I
     3. Chemistry I
     4. Engineering Mechanics
     5. Computer Programming and Graphics

3
3
3
3
4

3
3
3
3
4

 

AP-1301/1401
CL-1301/1401
ED-1301/1401
WS-1301/1401

Practical:

     6. Physics Lab
     7. Computer Lab
     8. Engineering Drawing
     9. Workshop Practice

 

3
3
4
3

 

2
2
3
2

 

Total for I/II Semester

29

25

 

II Semesterfor FIRST group of students / I Semester for SECOND group of students+

Subject Code

Subjects

Contact
Hours/Week

Credit

AM-1202
AP-1102/1202
AC-1102/1202
ME-1102/1202
ES-1101/1201
PC-1101/1201

     1. Mathematics II
     2. Physics II
     3. Chemistry II
     4. Thermodynamics
     5. Environmental Studies
     6. Professional Communication

 3
3
3
3
4*
3

3
3
3
3
4
3

 

AP-1302/1402
AC-1301/1401
WS-1301/1401

Practical:

     7. Physics Lab
     8. Chemistry Lab
     9. Workshop Practice

 

3
3
3

 

2
2
2

 

Total for I/II Semester

28

25

Total for Part I

 

50

*    Includes Fieldwork that shall be of 5 hours duration in the entire semester.

+   FIRST group of students shall be the students of the following departments:
     Computer Engineering, Ceramic Engineering, Chemical Engineering, Civil Engineering,
     Electrical Engineering, and School of Material Science and Technology.
     SECOND group of students shall be the students of the following departments:
     Electronics Engineering, Mechanical Engineering, Metallurgical Engineering, and 
     Mining Engineering.

 

Second Year

III Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

AM-2101
AM-2102
AC-2102
AP-2102
EC-2111A
EE-2111A

Theory:

  1. Mathematical Methods
  2. Real Analysis and Measure Theory
  3. Reaction Kinetics
  4. Quantum Physics
  5. Signal and Systems
  6. Electrical Engineering

 

03
03
03
03
03
03

 

03
03
03
03
03
03

 

AP-2301
AC-2301
AM-2301

Practicals:

  1. Physics Lab
  2. Chemistry Lab
  3. Computer Lab ( Programs in C and C++)

 

03
03
03

 

02
02
02

Total

27

24

 

IV Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

AM-2201
AM-2202
AP- 2203
AC-2201
CH-2212A
CE-2212A

Theory:

  1. Numerical Analysis
  2. Algebra (Groups, Rings, Fields, Modules)
  3. Electromagnetic Theory and Waveguides 
  4. Chemical Thermodynamics
  5. Transport Phenomena
  6. Fluid Mechanics

 

03
03
03
03
03
04

 

03
03
03
03
03
04

 

AP-2401
AC-2401
AM-2401

Practicals:

  1. Physics Lab
  2. Chemistry Lab
  3. Computer Lab (Based on AM - 2201)

 

03
03
03

 

02
02
02

 

Total

28

25

 

Third Year

V Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

 

AM-3101
AM-3102
AM-3103
AM-3104
AM-3105
AM-3106

 

AP-3103
AC-3103

Theory:

Mathematics Courses:

  1. Programming Languages and Compilers
  2. Data Structures
  3. Partial Differential Equations
  4. Discrete Mathematics
  5. Linear Algebra
  6. Ordinary Differential Equations

Applied Sciences Courses:
        1.   Digital Electronics and Microprocessors
        2.   Statistical Thermodynamics

 

 

03
03
03
03
03
03

03
03

 

 

03
03
03
03
03
03

03
03

 

Total

24

24

 

VI Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

 

AM-3201
AM-3202
AM-3203
AM-3204
AM-3205
AM-3206

ME-3212A

   Theory:           

Mathematics Courses:

  1. Design and Analysis of Algorithms
  2. Switching and Finite Automata
  3. Statistics and Stochastic Processes
  4. Object Oriented Programming
  5. Theory of Computation
  6. Operations Research

Open Elective :

 1.  Industrial Management

 

03
03
03
03
03
03

03

 

03
03
03
03
03
03

03

 

AM-3401
AM-3402

Practicals:

    1. Mathematics Lab1 ( Based on AM – 3204)
    2. Mathematics Lab2 ( Based on AM – 3102 and AM – 3201)

 

 

03
03

 

02
02

 

Total

27

25

 

 

 

Fourth Year

VII Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

 

AM-4101
AM-4102
AM-4103
AM-4104
AM-4105
AM-4106
AM-4107

AM-4301
AM-4302

Theory:

Mathematics Courses:

  1. Topology and Functional Analysis
  2. Information and Coding Theory
  3. Advanced Numerical Analysis
  4. Optimization Techniques
  5. Mathematical Modeling and Simulation
  6. Operating Systems
  7. Calculus of Variation and Integral Equations

 Seminar / Group Discussion
 Summer Practical Training Evaluation

 

 

03
03
03
03
03
03
04

03
          ---

 

 

03
03
03
03
03
03
04

02
02

 

Total

25

26

 

VIII Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

 

AM-4201
AM-4202
AM-4203
AM-4204
AM-4205

Theory:

Mathematics Courses:

  1. Number Theory and Cryptology
  2. Non-linear Mathematics
  3. Graph Theory
  4. Computational Fluid Dynamics
  5. Real and Complex Analysis              

      Project:  
 

 

 

03
03
03
03
03
06

 

 

03
03
03
03
03
04

 

AM-4401

AM-4402

Practicals:

Mathematics Lab1 (Based on AM – 4103 and AM – 4105)

  1. Mathematics Lab2 (Based on AM – 4201, AM- 4203 and AM – 4204)

 

03

03

 

02

02

 

Total

27

23

 

 

Fifth Year

IX Semester:

Subject Code

Subjects

Contact
Hours/Week

Credit

 

 

 

AM-5101
AM-5102

 

AM-5301
AM-5302
AM-5303

Theory:

Core Subjects:

  1. Wavelet Analysis and Applications
  2. Soft Computing              

 Electives  - 03 Courses*

    PG Practical
    Summer Dissertation
    Dissertation Interim Evaluation

 

 

03
03

 

3x3=09

03
-
09

 

 

03
03

 

09

02
05
05

 

Total

27

27

*Electives:
AM- 5103         Heat and Mass Transfer
AM- 5104         Theory of Rings and Modules
AM- 5105         Theory of Distribution
AM-5106          Fuzzy Topology
AM- 5107         Biomathematics
AM- 5108         Relativistic Cosmology
AM-5109          Theory of Elasticity
AM- 5110         Computer Graphics and Visualization
AM- 5111         Finite Element Method
AM- 5112         Digital Image Processing
AM- 5113         Bio – Informatics
AM- 5114         Database Management System

 

X Semester:

Subjects

Contact
Hours/Week

Credit

PG Seminar
Dissertation Open Defence
Dissertation Evaluation
          

 

02
-
-

 

01
05
10

Total

02

16

 


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