Departments


  • Mathematics
    •  Brief History of the Department of Mathematics:

       

       

      The Department of Mathematics in Government City College,  Nayapul, Hyderabad established in the year 1965 with different combination at UG level keeping in view the need for strengthening its Physical Sciences Wing and growing competition in the IT and Science fields. Dr. L. Nagarajan, Reader of the Department has been the In-charge of the Department for more than two years and has also been the recipient of prestigious AP State Best Teacher Award-2006. Eminent teachers like Sri. K. Rama Mohan, previously one of the NAAC Peer Team Members and Mr.Baig,Visiting Professor at one of the Schools of Mathematics in USA, made a remarkable and tremendous contribution in bringing up the Department of Mathematics

       

      With the passage of time, a Post Graduate Course in Mathematics was introduced on Semester Model, in the year 2003-04. In the year 2015, the college introduced Department of Statistics with different combinations at UG level. Till today, admission into PG as well as UG courses is in great demand.

       

      Objectives:

       

      • To inculcate the habit of independent thinking and problem solving.

       

      • To prepare the students  reach out look for various fields

       

      • Identify and focus the students to the current issues and challenges in the field of mathematics.

       

      • To train the students in such a way that the knowledge acquired can be practically implemented for solving various problems encountered in the personal as-well-as professional life.

       

       

       

       

       

       

       

       

       

      Present Faculty:

       

      There are  five sanctioned posts in the Department of Mathematics  presently 4 Regular Assistant Professors &1 Guest Lecturer  are  working in the Department. There is one sanctioned post in the Department of Statistics presently 1 Regular Associate Professor & 1 Guest Lecturer is working in the Department. Three Guest lecturers are working in  M.Sc. Mathematics.

       

      Name

      Qualification

      Designation

      Specialization

      No. of Years of

      Experience

      Dr.V. Padma Anu Radha

      M.Sc., M.Phil, Ph.D.

      CSIR-NET Qualified

      Assistant Professor

      Applied Mathematics

      10

      Dr. K. Sarada

      M.Sc., M.Phil, Ph.D.

      CSIR-NET Qualified

      Assistant Professor

      Applicable Mathematics

      10

      Dr. SRINIVAS REDDY C

      M.Sc, Ph.D

       CSIR-JRF

      Assistant Professor

      Applied Mathematics

      9

      Smt. K. M. SwarnaLatha

      M.Sc. , M.Phil.

      Assistant Professor

      Pure Mathematics

      19

      Smt.T.Vedavathi

      M.Sc.

      Associate Professor

      Statistics

      30

         M.Sudhakar

      M.Sc. , B.Ed.

      Guest Lecturer

      Pure Mathematics

      11

         G.Sreevani

      M.Sc. , B.Ed.

      Guest Lecturer

      Pure Mathematics

      13

      C.Yadaiah Goud

      M.Sc. , B.Ed.

      Guest Lecturer

      Pure Mathematics

      04

      Jaydev Rathod

      M.Sc. , B.Ed.

      Guest Lecturer

      Pure Mathematics

      03

      D.Anusha

      M.Sc. , SET

      Guest Lecturer

      Statistics

       

      03

       

       

       

       

       

       

       

       

       

       

       

      Student Strength

       

                                     Iyr        IIyr      IIIyr

           2015-16

      188

      171

      142

      188

      2016-17

      198

      172

      153

      198

      2017-18

      251

      181

      162

      251

      2018-19

      384

      210

      175

      769

      2019-20

      396

      392

      219

      1007

           2020-21

      401

      368

      330

      1099

       

       

       

       

       

       

       

       

      Year

      Pass %

       2015-16

      84

       2016-17

      81

       2017-18

      63

       2018-19

      86

      2019-20

      90

       

       

       

       

       

       

       

       

       

      Result Analysis

       

       

       

       

       

       

       

       

       

       

       

       

       

      Courses offered

       

      • Under Graduate Level:  B.Sc.             MPC,MPS,MPE,MSCS,MSDS,MPCS,MECS,MCCS,MPCS,DATASCIENCEESCS, MPS,MEC

       

      • Post Graduate Level:  M.Sc.(Pure mathematiucs)

       

      COURSEOUTCOMES

       

      I-YEARSEMESTER-IPAPER-I

       

      Course Title:Differential and Integral calculus

       

       

       

      On Completion of this course the students will be able to:

       

      • Defineordinary and partial differential equations.
      • Understand   Euler’s theorem for homogeneous functions.
      • Find radius of curvature and centre of curvature.
      • Find maxima and minima of function of two variables.
      • Evaluate the volume of solids using cross sections.
      • Evaluate the area of surfaces of revolution
      • Calculate  the length of an arc of a curve when whose equations are given in parametric and polar form.

       

       

       

       

      I-YEARSEMESTER-IIPAPERII

       

      Course Title:Differential Equations

       

      On successful completion of the course, Students will be able to:

      • After learning the course the students will be equipped with the various tools to solve few types of differential equations that arise in several branches of science.
      • Define differential equation,order and degree of the differential equation.
      • Solve first order differential equation, utilizing standard techniques of a seperable ,exact and linear homogeneous equations

      Find complete solution of non homogeneous differential equations as linear combination of complementary function and particular solution.

      Students will have a working  knowledge of basic  application problems described by second order linear differential equations with constant coefficient.

       Identifydifferent types of differential equations  and solve them.

      Solve the partial differential equation using lagrange’smethod

       

      II-YEARSEMESTER-IIIPAPER-III

       

      Course Title: Real Analysis

       

      After completing the course students are expected to be able to:

       

        Describe the basic difference between the rational and realnumbers.

        Give the definition of concepts related to metric spaces such ascontinuity, compactness, convergent etc..

        Evaluate the limits of wide class of real sequences.

      Determine whether or not real series are convergent by various methods

        Understand and perform simple proofs.

      Students will be able to demonstrate basic knowledge of key topics in classical real analysis

       

      II-YEARSEMESTER-IVPAPER-IV

       

       

      Course Title: Abstract Algebra

       

       

       

      After completing the course students are expected to be able to:

        Learn about the fundamentals concept of Groups, Sub groups,normal

      subgroups, isomorphism theorems, Cyclic and permutation groups

        To combine Polynomial by Addition or Subtraction

        Learn about Rings,properties of Rings,Ring homomorphism and integral     domain,Fields,ideals

       

       

      III-YEARSEMESTER-VPAPER-V

       

       

      COURSE TITLE:LINEAR ALGEBRA

       

      After completing the course students are expected to be able to:

       

       

        Define vector space andsubspace

        Understand the concept of bases and dimension of the vectorspace

        Understand algebraic and geometric representations ofvectors

        Describes coordinates of a vector relative to a given basis

        Discuss spanning sets  for vectors

        Use characteristic polynomial to compute eigenvalues and eigenvectors

      Explain the relationship between the row space and column space of a matrix

        Recognize and use basic properties of subspaces and vectorspace

       

       

      SEMESTER:VPAPER:VII

       

      COURSE TITLE:VECTOR CALCULUS

       

      After completing the course students are expected to be able to:

       

       

        Compute limits or derivatives of functions of two and three variables

        Analyze vector functions to find limits,derivatives and integrals

        Determine gradient vector fields and find potential function

      Apply fundamental theorem of line integrals,greens, anddivergence theorem to evaluate integrals

      Compute partial derivatives,derivatives of vector valued function and gradient functions

        Calculate directional derivatives and gradient

       

      SEMESTER:VIPAPER:VI

       

      COURSE TITLE:NUMERICAl ANALYSIS

      After completing the course students are expected to be able to:

       

       

        The theoretical and practical aspects of the use of numericalanalysis.

      Proficient in implementing numerical methods for a varietyof multidisciplinary applications.

      To establish the limitations, advantages,and disadvantages of numerical analysis.

      To derive numerical methods for various mathematical operations and tasks, such As interpolation, differentiation,integration, the solution of linear and non linear equations, and the solution of differentialequations.

       

       

      SEMESTER:VIPAPER:VIII

       

      COURSE TITLE:Complex Analysis

      After completing the course students will

      • Understand difference between differentiability and analytic functions.
      • realize calculus of radius is one of the power tools in solvingsome problems, like improper and definite integrals, effortlessly.
      • Use antiderivatives or Cauchy’s integral theorem or formula to compute line integrals.
      •  Determine whether given functions have antiderivatives, logarithms, and nth roots.
      •  Find Laurent series about isolated singularities, and determine residues.
      •  Use the residue theorem to compute several kinds of real integrals.

       

       


       

       

       

      Government City College, Hyderabad

      Department of Mathematics & Statistics

      Departmental Academic Activities

      From the Academic Year   2012 – 13 to 2020 – 21

       

       

      S.No.

      Date

      Name of the Activity

      Title of the Activity

      Details of the Resource Person

      No. of students Participated

      1

      20-09-2013

      Extension Lecture

      Rings of Polynomials

      Dr.Sridhar Reddy ,Reader in Mathematics, Dharmavath College of Commerce & Science

      51

      2

      31-12-2013

      National Mathematics Day Celebrations 2013

      Evolution of Mathematics

      Prof. V.  Khannan ,Ex Pro Vice Chancellor ,

      UOH, Hyderabad

      155

      3

      09-09-2014

      Guest Lecture

      Numerical Techniques

      Prof. B. Shankar

      HOD Mathematics, OU

      85

      4

      19-11-2014

      Extension Lecture

      Change of Order of Integration

      Smt .Malathi Vasudevan

      HOD , GDC  Begumpet

      76

      5

      22-12-2014

      National Mathematics Day Celebrations 2014

      The Eminent Mathematician

      Prof.K. Satyanarayana

      Retired Professor OU

      123

      6

      30-01-2015

      Field Trip to C.R.Rao Institute of Mathematics & Statistics, UOH

      An Invitation to Random Matrices

      Arup Bose

      ISI Kolkata

      50

      7

      08-09-2015

      Extension Lecture

      Metric Spaces

      Prof. M.  Rangamma

      HOD, Mathematics OU,

      125

      8

      26-11-2015

      Guest Lecture

      Number System

      Dr .K.Sarada

      HOD,  RBBVR College, Hyd

      108

      9

      21-12-2015

      National Mathematics Day Celebrations 2015

      Statistical Quality Control

      Prof. PVS Anand

      C.R. Rao Institute HCU

       Hyd

      162

      10

      19-12-2016

      Guest Lecture

      Astavadanam

      E.Chandraiah ,Lecture in Magic

      Department of  Foke ,Telugu University, Hyderabad

       

      77

      11

      22-12-2016

      National Mathematics Day Celebrations 2016

      Oral Computing Skills

      E.Chandraiah ,Lecture in Magic

      Department of  Foke ,Telugu University, Hyderabad

       

      64

      12

      16-02-2017

      Guest Lecture

      Awareness on Basic Mathematics

      Certificate Course on Math Magic

      E.Chandraiah ,Lecture in Magic

      Department of Foke ,Telugu University, Hyderabad

      102

      13

      21-12-2017

      National Mathematics Day Celebrations 2017

      The Eminent Mathematician Srinivasa Ramanujan

      Prof.K.Styanarayana

      Retired Professor OU

      111

      14

      01-09-2018 to

      20-09-2018

      Extension Activity

      Civil Services Coaching

      Dr. V.Padma Anuradha

      Assistant Professor of Mathematics

      150

      15

      22-12-2018

      National Mathematics Day Celebrations 2018

      Ramanujan’s Birthday Celebrations

      Prof. K.Satyanarayana Professor of Mathematics ( Retired) Osmania University  Hyderabad

      140

      16

      18-01-2019

      Extension Lecture

      Career Guidance

      Dr. Rambabu Paladugu

      Director of  La Excellence IAS

      125

      17

      27-03-2019

      Extension Lecture

      Personality Development

      Dr. K.Venkateshwar

      Associate Professor of History,

      GDC, Vidyanagar, Hyderabad.

      60

      18

      29-01-2020

      Extension Lecture

      Math Magic

      E.Chandraiah ,Lecture in Magic

      Department of  Foke ,Telugu University, Hyderabad

      178

      19

      06-02-2020

      Extension Lecture

      Role of Statistic in Data Sciences

      Dr. D.V. Ramana, Data scientist, Wissen Infotech, Hyd

      121

       

      20

       

      14-05-2020

      webinar

      Applications of Numerical Methods

      B.Rajesh, Assistant Professor of                         Mathematics, IIIT, Nuziveedu.

      64

      21

      09-05-2020

      Teachers – Parents Meeting of B.Sc.Maths I Year Students

      K.M.Swarnalatha,

      26

      22

      02-07-2020 to

      07-07-2020

      National Level Online Math Quiz 2K20

      Dr.K.Sarada ,Assistant professor of Mathematics,Govt city college

      591

      23

      17-7-20

      Introduction to data science and its scope

      A. Prasuna, Data Scientist and Freelance corporate Trainer

      88

      24

      22-12-20

       A popular talk on Ramunujan

      Prof.K.Styanarayana

      Retired Professor OU

      75

      25

      4-1-2021

      Carrier Guidance on civils preparation

      Krishna pradeep

      director

      Twenty first centuary IAS  academy

      90

      26

      5-3-2021

      Financial  support for student progression

      Dr.P..Bhal Bhaskar,Dr.V.Padma Anuradha,Dr.C.srinivas reddy ,K.M.swarna latha, T.vedavathi

      9

      27

      9-3-21

      Orientation programme

      For 1st  year students

      Dr.V.Padma Anuradha,

      Dr.K.Sarada

      Dr.C.Srinivas Reddy,K.M.Swarna Latha, ,Jayadev Rathod

      120

       

       

                    


       

       

       

       

       

       

       
      Profile
       

      S.NO

      PROFILE OF THE DEPARTMENT

      RESPONSES

      1

      Name of the Department

      Mathematics

      2

      Year of Establishment

      1965

      3

       Number of Teachers sanctioned and present position

      Sanctioned 6 & Working 5

      Regular 2

      Re-Deployed 1

      Guest Faculty 2

      4

      Number of Teachers and Students

       5 & 1006

      5

      Ratio of Teachers to Students

       1 : 201
      6

      Number of research scholars who had their master’s degree from other institutions

       82
      7

      The year when the curriculum was revised last

       2019  - 2020 for First Year

      8

      Number of students passed NET/SLET etc(last two years)

       -

      9

      Success Rate of students (what is the pass percentage as compared to the University average)

      87 %

      10

      University Distinction/Ranks

      250

      11

      Publications by faculty (last 5 years)since 2005

      22

      12

      Awards and recognition received by faculty (last five years)

      2 Ph.D

      13

      Faculty who have Attended National and International Seminars(last five years)

      Dr. V. Padma Anuradha , Dr. K. Sarada & Smt. K.M. Swarnalatha

      14

      Number of books in the Departmental Library, if any

       120

      15

      Number of Journals/Periodicals

       05

      16

      Number of Computers

       01

      17

      Annual Budget

       10,000

      Activities 2012-13 to 2019-20

      S.No.

      Date

      Name of the Activity

      Title of the Activity

      Details of the Resource Person

      No.of students Participated

      Academic Year 2013 – 14

      1

      22-06-2013

      Extension Lecture

      Group Theory

      Dr.M.Vijaya Kumar, Reader in Mathematics

      Vagdevi PG College, Hanumakonda

      28

      2

      20-09-2013

      Extension Lecture

      Rings of Polynomials

      Dr.Sreedhar Reddy ,Reader in Mathematics

      Dharmavath College of Commerce & Science

      51

      3

      31-12-2013

      National Mathematics Day Celebrations 2013

      Evolution of Mathematics

      Prof.V.Khannan ,Ex Pro Vice Chancellor ,

      UOH, Hyderabad

      155

       

      Academic Year 2014 – 15  

      4

      09-09-2014

      Guest Lecture

      Numerical Techniques

      Prof.B.Shankar

      HOD Mathematics, OU

      85

      5

      19-11/2014

      Extension Lecture

      Change of Order of Integration

      Smt.Malathi Vasudevan

      HOD , GDC Begumpet

      76

      6

      22/12/2014

      National Mathematics Day Celebrations 2014

      The Eminent Mathematician

      Prof.K.Satyanarayana

      Retired Professor OU

      123

       

      Academic Year 2015 – 16  

      7

      08-09-2015

      Extension Lecture

      Distance Function

      Prof.M.Rangamma

      HOD, Mathematics OU,

      125

      8

      26-11-2015

      Guest Lecture

      Number System

      Dr .K.Sarada

      HOD,  RBBVR College, Hyd

      108

      9

      21-12-2015

      National Mathematics Day Celebrations 2015

      Statistical Quality Control

      Prof.PVS Anand

      C.R. Rao Institute HCU Hyd

      162

      10

      30-01-2016

      Field Trip to C.R. Rao Institute of Mathematics & Statistics, UOH

      Mathematics Lecture Series

       

      Arup Bose

      ISI Kolkata

      50

       

      Academic Year 2016 – 17  

      11

      19-12-2016

      Guest Lecture

      Astavadanam

      E.Chandraiah ,Lecture in Magic

      Department of  Foke ,Telugu University, Hyderabad

       

      77

      12

      22-12-2016

      National Mathematics Day Celebrations 2016

      Oral Computing Skills

      E.Chandraiah ,Lecture in Magic

      Department of  Foke ,Telugu University, Hyderabad

       

      64

      13

      16-02-2017

      Guest Lecture

      Awareness on Basic Mathematics

      E.Chandraiah ,Lecture in Magic

      Department of  Foke ,Telugu University, Hyderabad

      102

       

       

       

      Academic Year 2017 – 18  

      14

      21-12-2017

      National Mathematics Day Celebrations 2017

      The Eminent Mathematician Srinivasa Ramanujan

      Prof.K.Styanarayana

      Retired Professor OU

      111

      15

      03/08/2017

      Certificate Course Math Magic

      Math Magic

      E. Chandraiah , Lecturer in Magic , Telugu University , Nampally , Hyderabad

      15

       

      Academic Year 2018 – 19  

      16

      01-09-2018 to

      20-09-2018

      Extension Activity

      Civil Service Coaching

      Dr. V.Padma Anuradha

      Assistant Professor of Mathematics

      150

      17

      22-12-2018

      Extension Activity

      Ramanujan’s Birthday Celebrations

      Prof.K.Satyanarayana   professor of Mathematics

      ( Retired) Osmania University , Hyderabad

      131

      18

      18-01-2019

      Extension Lecturer

      Career Guidance

      Dr. Rambabu Paladugu

      Director of  La Excellence IAS

       

      125

      19

      27-03-2019

      Guest Lecturer

      Career Guidance

      Dr. K.Venkateshwar

      Associate Professor of History, VGDC, Vidyanagar,

      Hyderabad.

      60

      Academic Year 2019 – 120  

      20

      29-01-2020

      Extension Activity

       

      E. Chandraiah , Lecturer in Magic , Telugu University , Nampally , Hyderabad

      178


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