Admissions 2018

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ACADEMICS

 

The aim of Amrita Vishwa Vidyapeetham is to strive to develop quality research programmes in many of the frontiers of Science and Technology and the programmes in Mathematics are in line with the vision.. The 5-year integrated M.Sc Mathematics offered by the Department of Mathematics will act as a catalyst for initiating many research programmes, theoretical and practical in nature. Employment opportunities for people qualified with M.Sc. in Mathematics are available in the form of teaching positions in various schools and colleges all over India and abroad. They can work as Scientists and Research Associates in highly reputed institutions, like, ISRO, DRDO, CSIR etc. In addition to the above, they also find lucrative jobs and careers in software industries.

 

Students graduating from our institution will gain good exposure to a lot of applications in various technical fields, which in turn will help them become efficient teachers, scientists, research associates in highly reputed national and international institutions. Curriculum and syllabi for this programme are on par with any reputed educational institution in India and abroad. Syllabus is framed in such a way that the candidates will be competent enough to take up the tests like NET, SLET, GATE etc.  

 

DURATION

 

5-Year Integrated M.Sc Mathematics – 5 years (10 semesters)

 

SALIENT FEATURES OF THE INSTITUTION

 

  • Very comfortable and peaceful ambience for teaching and learning process
  •  Highly Qualified and Motivated Faculty
  • Excellent Infra Structure facilities
  • Well equipped library with soft and hard copies of books and articles.
  • Guidance to take up NET / SLET / GATE examinations
  •  Separate Hostels for Boys and Girls
  • The hostels and academic blocks are covered by the wireless network system.
  •  Placement assistance (Separate center for placement and training)
  • Guidance to take up international level tests like TOFEL, IELTS, BEC etc.
  • Opportunities / facilities for extracurricular and co – curricular activities
  • Opportunities for doing interdisciplinary projects.
     

 

SALIENT FEATURES OF THE PROGRAMME​

 

  • State of art computer labs for Applied Mathematics
  • Strong Mathematical backgrounds with Engineering Science applications.
  • Possibility of placements in software Industries.
  • Possibility of getting the posts of a teacher, scientist, research associate etc in highly reputed national and international institutions.
  • Provides competency in the preparation of national level scholarship tests such as UGC/CSIR - NET, GATE etc

 

 

 

Eligibility: A pass in +2 or equivalent with a separate minimum of 50% marks in Physics, Chemistry and Mathematics and an aggregate of 55% marks.

 

CURRICULUM

 

SEMESTER 1

 

 

Code No Course Title L T P Cr
15ENG101 Communicative English 2 0 2 3
  Language I 2 0 0 2
15MAT101 Differential Calculus 3 1 0 4
15CHY102 Chemistry I 3 0 0 3
15CSA100 Problem Solving and Computer Programming 3 0 0 3
15PHY102 Physics I 3 0 0 3
15CSA180 Problem Solving and Computer Programming Lab 0 0 2 1
15CHY181 Chemistry Lab I 0 0 2 1
15CUL101 Cultural Education I 2 0 0 2
  Total   22

 

 

 

SEMESTER 2

Code No Course Title L T P Cr
15ENG111 Professional Communication 1 0 2 2
  Language II 1 1 0 2
15MAT111 Integral Calculus 3 1 0 4
15CHY112 Chemistry II 3 0 0 3
15CSA116 Advanced Computer Programming 3 0 0 3
15PHY112 Physics II 3 0 0 3
15CSA187 Advanced Computer Programming Lab 0 0 2 1
15PHY181 Physics Lab I 0 0 2 1
15CUL111 Cultural Education II 2 0 0 2
  Total   21

 

 

 

SEMESTER 3

Code No Course Title L T P Cr
15MAT201 Classical Algebra and Trigonometry 3 1 0 4
15MAT202 Differential Equations 3 1 0 4
15MAT203 Discrete Mathematics 2 1 0 3
15MAT204 Probability and Statistics 3 1 0 4
15MAT205 Vector Analysis 2 1 0 3
15ENV200 Environmental Studies 3 1 0 4
15SSK201 Life Skills I 1 0 2 2
15AVP201 Amrita Value Programme I 1 0 0 1
  Total   25

 

 

 

SEMESTER 4

Code No Course Title L T P Cr
15MAT211 Applied Statistics 3 1 0 4
15MAT212 Foundations of Modern Algebra 3 1 0 4
15MAT213 Fourier Series and Integral Transforms 3 1 0 4
15MAT214 Numerical Methods 3 1 0 4
15MAT215 Statics 2 1 0 3
  Free/Open Elective I 3 0 0 3
15MAT280 Mathematical SoftwareMatLab 0 0 2 1
15SSK211 Life Skills II 1 0 2 2
15AVP211 Amrita Value Programme II 1 0 0 1
  Total   26

 

 

 

SEMESTER 5

Code No Course Title L T P Cr
15MAT301 Dynamics 2 1 0 3
15MAT302 Linear Algebra 3 1 0 4
15MAT303 Number Theory 2 1 0 3
15MAT304 Operations Research 3 1 0 4
15MAT305 Real Analysis 3 1 0 4
  Free/Open Elective II / Live-in-Lab 3 0 0 3
15SSK301 Life Skills III 1 0 2 2
  Total   23

 

 

 

SEMESTER 6

Code No Course Title L T P Cr
15MAT311 Basics of Complex Analysis 3 1 0 4
15MAT312 Calculus of Variations and Integral Equations 3 1 0 4
15MAT313 Formal Languages and Automata Theory 3 1 0 4
15MAT314 Optimization Techniques 3 1 0 4
15MAT315 Special Functions 3 1 0 4
  Total   20
15MAT399 Project (for Exit-option students)   6
  Total   26

 

 

 

Total Credit (for Exit-option students): 143

 

 

 

SEMESTER 7

Code No Course Title L T P Cr
15MAT501 Advanced Algebra 4 0 0 4
15MAT502 Advanced Real Analysis 4 0 0 4
15MAT503 Topology 4 0 0 4
15MAT504 Ordinary Differential Equations 4 0 0 4
15CUL101 Elective I 3 0 0 3
  Total   19

 

 

 

SEMESTER 8

Code No Course Title L T P Cr
15MAT511 Advanced Complex Analysis 4 0 0 4
15MAT512 Functional Analysis 4 0 0 4
15MAT513 Graph Theory 4 0 0 4
15MAT514 Partial Differential Equations 4 0 0 4
15CSA116 Elective II 3 0 0 3
  Total   19

 

 

 

Electives( any one stream)

 

 

 

Algebra Stream

Code No Course Title L T P Cr
15MAT631 Algebraic Geometry 3 0 0 3
15MAT632 Algebraic Topology 3 0 0 3
15MAT633 Coding Theory 3 0 0 3
15MAT634 Commutative Algebra 3 0 0 3
15MAT635 Lie Algebra 3 0 0 3
15MAT636 Theory of Manifolds 3 0 0 3

 

 

 

Analysis Stream​

Code No Course Title L T P Cr
15MAT641 Fixed Point Theory 3 0 0 3
15MAT642 Fractals 3 0 0 3
15MAT643 Harmonic Analysis 3 0 0 3
15MAT644 Nonlinear Partial Differential Equations 3 0 0 3
15MAT645 Wavelet Analysis 3 0 0 3

 

 

 

Statistics Stream​

Code No Course Title L T P Cr
15MAT651 Queuing Theory and Inventory Control Theory  3 0 0 3
15MAT652 Random Process 3 0 0 3
15MAT653 Statistical Pattern Classifications 3 0 0 3
15MAT654 Statistical Quality Control and Six Sigma Quality Analysis 3 0 0 3
15MAT655 Theory of Sampling and Design of Experiments 3 0 0 3
15MAT656 Time Series Analysis 3 0 0 3

 

 

 

Fluid Mechanics Stream​

Code No Course Title L T P Cr
15MAT661 Advance Boundary Layer Theory 3 0 0 3
15MAT662 Computational Fluid Dynamics 3 0 0 3
15MAT663 Finite Element Methods 3 0 0 3
15MAT664 Magneto-Hydro Dynamics 3 0 0 3
15MAT665 Mathematical Foundations of Incompressible Fluid Flow 3 0 0 3

 

 

 

Computer Stream​

Code No Course Title L T P Cr
15MAT671 Advanced Data Structures  and Algorithms 3 0 0 3
15MAT672 Advanced Graph Theory 3 0 0 3
15MAT673 Computer Aided Design of VLSICircuits 3 0 0 3
15MAT674 Cryptography 3 0 0 3
15MAT675 Fuzzy Sets and its Applications 3 0 0 3
15MAT676 Introduction to Soft Computing 3 0 0 3
15MAT677 Object-Oriented Programming and Python    

 

 

 

Language

 

 

 

 

 

 

 

Code No Course Title L T P Cr
15HIN101 Hindi I 2 0 0 2
15KAN101 Kannada I 2 0 0 2
15MAL101 Malayalam I 2 0 0 2
15SAN101 Sanskrit I 2 0 0 2
15TAM101 Tamil I 2 0 0 2

 

 

 

Code No Course Title L T P Cr
15HIN111 Hindi II 1 1 0 2
15KAN111 Kannada II 1 1 0 2
15MAL111 Malayalam II 1 1 0 2
15SAN111 Sanskrit II 1 1 0 2
15TAM111 Tamil II 1 1 0 2

 

 

 

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