From its inception in the year 2002 to the present, the Department of Mathematics has evolved and grown in several directions. In the last five years, this change has been particularly striking in terms of faculty recruitment, research output and the diversity of research pursued. It is one of the pioneering departments of the Institution that offers assistance to all the B.Tech programs of the School. It is committed to the cause of quality education in Mathematics that forms the basis for all the programs. The vision of the Department is to provide the students with a strong mathematical foundation to be sound in the technical areas by strengthening their analytical skills.
Initially, the role of the Department was to provide a strong foundation in Engineering Mathematics to the students of Undergraduate (B.Tech) Engineering Programs. Later 2004 onwards, the Department also started offering elective subjects for undergraduate programmes and advanced courses for postgraduate programmes. From 2007, the Department started offering Ph.D programmes.
Department of Mathematics offers four compulsory subjects for the first four semesters of the B.Tech Programme for all Engineering branches, and few other elective subjects for the third and fourth year B.Tech Programme as per the needs of the respective Engineering Departments. The Department also offers compulsory and elective courses for the five M.Tech Programmes in the campus. Along with these, the department also offers courses for Ph.D scholars. Two of them already obtained Doctor's degree from the Department. Examination for the fundamental course in Mathematics that has to be cleared by all research scholars is conducted by the department in every six months.
Currently five students are doing Ph.D under the guidance of faculty members of the department.
The department has an ambitious plan to be the best Mathematics departments and to establish an International reputation as a centre for research and teaching in Mathematics.
The Department of Mathematics offers the following programs:
Department of Mathematics is a support department for all Engineering branches in the campus.
Currently the department offers the following courses for the various branches of B.Tech, M.Tech and M.Sc programmes in Odd Semester.
Course Code | Course | Class |
15MAT111 | Calculus and Matrix Algebra | I semester B.Tech (all branches) |
15MAT201 | Discrete Mathematics | III semester B.Tech Tech (CSE) |
15MAT202 | Linear Algebra | III semester B.Tech (ECE) |
15MAT203 | Transforms and Complex Analysis | III semester B.Tech (EEE) |
15MAT204 | Transforms and P.D.E. | III semester B.Tech (EIE & ME) |
15MAT301 | Linear Algebra, Queueing Theory and Optimization | V semester B.Tech Tech (CSE) |
15MAT303 | Optimization Techniques | V semester B.Tech Tech (ECE) |
15MAT214 | Probability and Statistics | V semester B.Tech Tech (EIE) |
15MAT302 | Numerical Methods | V semester B.Tech Tech (ME) |
MA613 | Mathematical Foundation for Computer Science | I semester M.Tech Tech (CSE) |
MA611 | Probability Theory and Random processes | I semester M.Tech Tech (ES) |
MA620 | Linear Algebra and numerical Methods | I semester M.Tech Tech (PE) |
MA650 | Advanced Engineering Mathematics | I semester M.Tech Tech (TSES) |
MA601 | Linear Algebra, Probability and Graph theory | I semester M.Tech Tech (VLSI) |
MA612 | Mathematical Foundation for Communication Engineering | I semester M.Tech Tech (CEPS) |
15MAT501 | Advanced Linear Algebra | I semester M.Sc Mathematics |
15MAT502 | Advanced Real Analysis | I semester M.Sc Mathematics |
15MAT503 | Topology | I semester M.Sc Mathematics |
15MAT504 | Ordinary Differential Equations | I semester M.Sc Mathematics |
15MAT601 | Advanced Topology | III semester M.Sc Mathematics |
15MAT602 | Fluid Dynamics | III semester M.Sc Mathematics |
15MAT603 | Measure and Integration | III semester M.Sc Mathematics |
15MAT604 | Opertor Theory | III semester M.Sc Mathematics |
B.Tech, M.Tech and M.Sc Programmes For Even Semester.
Course Code | Course | Class |
15MAT121 | Vector Calculus and Ordinary Differential Equations | II semester B.Tech (all branches) |
15MAT213 | Probability and Random Processes | IV semester B.Tech (CSE & ECE) |
15MAT214 | Probability and Statistics | IV semester B.Tech (EEE) |
15MAT212 | Complex Analysis and Numerical Methods | IV semester B.Tech (EIE) |
15MAT214 | Probability and Statistics | IV semester B.Tech (ME) |
15MAT303 | Optimization Techniques | VI semester B.Tech (EEE) |
15MAT511 | Advanced Complex Analysis | II semester M.Sc Mathematics |
15MAT512 | Functional Analysis | II semester M.Sc Mathematics |
15MAT513 | Graph Theory | II semester M.Sc Mathematics |
15MAT514 | Partial Differential Equations | II semester M.Sc Mathematics |
The department also offers Ph.D level courses (FDP’s) for the Ph.D students in the School. The courses offered for Ph.D students are as follows:
Subject Code | Subject Title |
MA801 | FUZZY LOGIC AND NEURAL NETWORKS |
MA802 | PROBABILITY AND APPLIED STATISTICS |
MA803 | FOURIER TRANSFORM AND WAVELET TRANSFORM |
MA804 | GRAPH THEORY |
MA805 | STATISTICAL INFERENCE AND DESIGN OF EXPERIMENTS |
MA806 | REGRESSION ANALYSIS |
MA807 | TIME SERIES ANALYSIS |
MA808 | WAVELET METHODS FOR TIME SERIES ANALYSIS |
MA809 | ADVANCED ALGEBRA |
MA810 | COMPUTER AIDED DESIGN OF VLSI CIRCUITS |
MA811 | VLSI ROUTING ALGORITHMS |
MA812 | FUNCTIONAL ANALYSIS |
MA813 | TENSOR ANALYSIS AND FINITE ELEMENT METHODS |
MA814 | NETWORK ON CHIP |
MA815 | MATHEMATICAL FOUNDATIONS OF INCOMPRESSIBLE FLUID FLOW |
MA816 | MATHEMATICAL THEORY OF MAGNETOHYDRODYMAMICS |
MA817 | GEOPHYSICAL FLUID DYNAMICS |
MA818 | ADVANCED BOUNDARY LAYER THEORY |
MA819 | GENERALIZED MATRIX FUNCTIONS |
MA820 | VECTOR BUNDLES |
MA821 | THEORY OF MANIFOLDS |
MA822 | LIE ALGEBRAS |
MA823 | LIE GROUPS |
MA824 | REPRESENTATION THEORY OF LIE ALGEBRAS |
MA825 | SPECTRAL GRAPH THEORY AND ITS APPLICATIONS |
MA826 | PROBABILITY THEORY |
MA827 | CENTRALITY AND CONVEXITY IN GRAPHS |
MA828 | ADVANCED NUMERICAL ANALYSIS |
MA829 | STATISTICAL METHODS IN BIOINFORMATICS |
MA830 | RAMSEY THEORY |
ED653 | FINITE ELEMENT METHODS |
CN613 | COMPUTATIONAL OPTIMIZATION THEORY-LINEAR AND NON-LINEAR METHODS |
Other than the regular theory classes, the department conducts tutorial sessions on a weekly basis to improve the problem solving skills of the students. Three faculty members will be present in every tutorial hour in each class. Also additional academic help is provided to weak students in the evenings after regular working hours.
Sl.No |
Full time/Part time Research Scholar |
Name |
Thesis Advisor |
Research Area/Title of Research |
1. |
Part time |
G. Sandhya Rani |
Dr. Sarada Jayan |
Numerical Optimization techniques |
2. |
Part time |
Padma Sudha G. |
Dr. Sarada Jayan |
Numerical Optimization techniques |
3. |
Part time |
Supriya Devi |
Dr. K. V. Nagaraja |
Finite Element Method for flow problems |
4. |
Full time |
T. V. Smitha |
Dr. K. V. Nagaraja |
Finite Element Method |
5. |
Full time |
Fathimunnisa |
Dr. Neetu Srivastava |
Fluid Dynamics |
6. |
Part time |
Mamatha T.M. |
Dr. B. Venkatesh |
Numerical Integral of arbitrary functions over hexahedral elements |
7. |
Full time |
Chinmayee Ojha |
Dr. Deepa Gupta |
Statistical English-Hindi Alignments and its evaluation |
National Workshop on Graph Theory and its Applications
The Department of Mathematics organized a two-day workshop on Graph Theory and its Applications from August 6 - 7, 2015. About 30 delegates from various engineering colleges of India and around 30 members including faculty members, research scholars and M.Tech. students from Amrita attended the workshop.
The workshop began with an inaugural function on 6th August 2015 at 10.30 AM at Krishna Hall, ASE, Bengaluru. The function was graced by Dr. S. G. Rakesh, Associate Dean and Head, Amrita School of Engineering, Bengaluru Campus, who wished the workshop a grand success. The inaugural session was followed by invited lectures. Eminent speakers like Dr. S. A. Choudum from Christ University, Dr. A. Vijaya Kumar from CUSAT, Dr. B. Sooryanarayana from DR.AIT, Dr. J. Paulraj Joseph from MS university and Dr. S. Somasundaram from ASE Coimbatore delivered talks on current research topics in graph theory spread over several sessions of the workshop on both days.
A introductory session on the usage of Mathematical software, ‘MATHEMATICA’ in solving research problems on graph theory was also presented by Mr. Girish from Wolfram.
Paper presented in IDAD-2016 organised at Veltech University in the month of February 2016.
Dr. B. Sooryanarayana and Ms. K.N.Meera presented paper "Open Neighborhood Chromatic number" in the National Conference on Graph Coloring and its application from 27th – 28th July 2013.
Dr. B. Sooryanarayana and Ms. K.N.Meera presented paper "2-Metric dimension in Cartesian Products of Graphs" in the International Conference on Emerging Trends in Fluid Mechanics and graph theory”, Christ University, Bangalore from 16th-18th Aug 2012.
Other than the above FDPs, the department had organized FDPs by external experts, the details of which are as follows: