Mathematics

Sl.No

Name

Designation

Photo

Qualification

Resume

1.

Dr.Veena P.H

Associate Professor

M.Sc. , B.Ed., Ph.D

Resume Dr.Veena P H

2.

Smt. Ambika Patil

Guest Lecturer

M.Sc., B.Ed

Sl.no

class

Link

1

B.Sc -I  and II sem

https://drive.google.com/file/d/1SAqWxSjU4qbmFsa2kCMj3McLXJgPiVTE/view?usp=sharing

2

B.Sc -III and IV sem

https://drive.google.com/file/d/1B1y7GdxuS8LalCKZIZqmZ398qbG3k9Oh/view?usp=sharing

3

B.Sc -V  and VI sem

https://drive.google.com/file/d/1qTtDZamEBjpJFFZcpG8mTvOH0rxBlxjI/view?usp=sharing

Type

Link

1.     PPT with audio lectures

https://drive.google.com/file/d/1jyum-_ThDq3YcbQFCO16SU-9eM0hRVaW/view?usp=sharing

2.     YouTube channel

Ambika Patil Mathematics Classes

Sl. No.

Title

Name of Journal

volume

Page no

Impact Factor

1

MHD Power Law Fluid Flow Past a Stretching Porous Sheet.

Int. Journal of Mathematics Archive  9-2018

9

168-176

ISSN

2229-5046

2

MHD Momentum Transfer Flow of a Non Newtonian Walters Liquid over a Qudratic Stretching Porous Sheet

International Journal of Mathematics and its applications

2018

6

305-314

ISSN

0973-5084

3

Non-Newtonian MHD flow with heat and mass transfer due to an exponantial stretching porous sheet

International jJ of Mathematical Archieve-2018

9

102-113

ISSN 2229-5046

4

MHD Casson fluid flow and heat transfer with PST and PHF heating conditions due to a stretching sheet

IJMET-2017

8

16-26

SCImago ranking

5

Non Newtonian viscoelastic heat transfer flow past a stretching sheet with convective boundary condition

IJERA-2017

7

26-32

ISSN 2248-9622

6

Mixed convective heat and mass transfer MHD flow past unsteady stretching sheet with internal heat generation ,viscous dissipation internal mass diffusion including soret and dufour effects.

IJARET-2017

8

17-33

SCImago ranking

I.F 10.9475

7

Mass transfer and radiative heat transfer flow of MHD Casson fluid with temperature gradient dependent heat sink and internal mass diffusion in a vertical channel with stretching porous walls.

Chemical and process engineering research-IISTE-2017

47

34-43

I.F- 5.51

8

Non newtonian momentum transfer past an isothermal stretching sheet with applied suction.

IJAME-2017

SCImago ranking

9

Reinvestigation of the existence of non-uniqueness solution of the flow of non-newtonian fluid over a stretching sheet.

ternational Journal of Emerging Technologies

- 2016

7

304-308

SCI mago ranking

10

Influence of porosity and magnetic field on non-newtonian ucm fluid flow with heat transfer including viscous dissipation and internal heat generation over a stretching surface.

Journal of Chemical and Process Engineering Research – 2017

47

44-51

I.F 5.51

11

Soret and dufour effect on unsteady free convective mhd heat and mass   transfer flow with variable permeability, heat source and thermal diffusion.

Advances in Physics Theory and Applications – 2016

56

23-32

I.F-7.17

12

Velocity and thermal slip effects of flow and heat transfer due to an exponantially stretching sheet with viscous dissipation and thermal radiation.

IISTE-2016

53

53-62

I.F- 5.51

13

Study on Similarity Solutions for MHD Visco-Elastic Flow with Heat and Mass Transfer over a Permeable Stretching Sheet Extruded in a Cross Cooling Stream with Heat Source/Sink.

International Journal of Engineering Sciences & Research Technology – 2016

DOI:10.5281

622-637

I.F-

5.164

ISSN 2277-9655

14

Non-Newtonian Momentum Transfer Past an Isothermal Stretching Sheet with Applied Suction.

IISTE

Advances in Physics Theory and Applications – 2016

56

9-15

I.F-7.17

15

Similarity Solutions for MHD Visco-Elastic Flow over a Permeable and Non-Linearly Quadratic Stretching Sheet.

Advances in physics theory and applications -IISTE-2016

51

73-81

ISSN

 2224-719X

16

Numerical Investigation of an Unsteady Mixed Convective Mass and Heat Transfer MHD Flow with Soret Effect and Viscous Dissipation in the Presence of Thermal Radiation and Heat Source / Sink.

International Journal of Mechanical Engineering and Technology - 2016

7

179-193

SCImago ranking

I.F-9.2286

17

Oscillatory Flow of MHD Polar Fluid with Heat and Mass Transfer Past a Vertical Moving Porous Plate with Internal Heat Generation.

International Journal of Mechanical Engineering and Technology - 2016

7

212-231

SCImago ranking

18

Free convection boundary flow and heat transfer of a nano fluid over a moving plate with internal heat generation

Industrial Engg. Letters-IISTE-2016

6

39-49

ISSN 2224-6096

19

Free convective heat transfer flow of a casson fluid wth radiative and dissipative effect due to variable thermal conductivity and internal heat generation past a stretching sheet

IJESRT-2015

I.F 5.164

ISSN 2277-9655

20

MHD free convective and viscous dissipative with temperature and concentration dependent gradient past a orous stretching sheet with thermal diffusion

    Complex systems    and complexity science Journal-2021

8

 1-20             ISSN 1672-3813

Sl.No

Event Conducted By

Name Of The Seminar/Conference/Workshop

Date

1.

Smt. V.G. Degree College For Women,Kalburagi

Two days seminar on  Professional development training programme for lecturers

30^th &31^st Oct. 2018

2.

Smt. V.G. Degree College For Women,Kalburagi

One day seminar

16^th Feb. 2019

3.

Smt. V.G. Degree College For Women,Kalburagi

Sensitization of changing perspectives in NAAC assessment and accreditation process

13^th and 14^th Sept. 2019

4

BVVS Akkamahadevi College, Bagalkot

One Day National Webinar on Ancient Mathematics

22 Dec 2020

Sl.no

Event Conducted By

Name Of The Seminar/Conference/Workshop

Date

1.

M.S.Irani Degree College,Kalaburagi

Two days national seminar on Changing gender rules attitude of modern Indian families

13^th &14^th Feb. 2017

2.

M.S.Irani Degree College,Kalaburagi

One day workshop on new modalities of IQAC/NAAC

8^TH Sept. 2018

3

Smt.V.G Degree College and P.G. Centre For Women’s,Kalaburagi

Two Days online workshop on “Digital Teaching And Learning”

25th &26^th June 2020

4

IQAC Yashwantrao Chavan School of Social Work,satara,Maharashtra

National E-Conference on NAAC’s New Framework of Accreditation Assessment for Higher Educational Institutions in India

8^th July 2020

5

IQAC Yashwantrao Chavan School of Social Work,satara,Maharashtra

National E-Conference on Outcomes Based Education:Emerging Trends

10^th July 2020

6

HKBK Degree College ,Bangalore

Three days National level FDP programme on” Role Of  Faculty In Moulding Students”

24th & 26^th May 2021

7

Shri Siddheshwar Mahavidyalaya,Majalgaon

National webinar on “Recent Advances In Mathematics”

18^th Jan 2022

Sl.no

Resource Person

College

Topic

Date

1.

Dr.Suresh Birder

Lecturer Dept.Of Mathematics

AIT_Kalaburagi.

Runge-Kutta Method Via Shooting Technique

20/12/2017

2.

Miss.Jyoti Gudnal

Research Scholor,GUG

Research Methodology

20/12/2017

3

Sri.Shivaraj B

Govt.Degree College For Women, Kalaburagi

Maxima software

01/01/2022

   S No

Name of the Faculty

Programme

Topic

Institution

Date

1

Dr Veena P H

F D P

Research Proposal Writing and opportunities in the field of Science, Engg. and Management

R & D Centre – BIT, Bengaluru

6 th to 11 th July 2020

2

Dr Veena P H

F D P

Next generation Electronics and Computer Networks

Dept. of Electronics –BKIT-Bhalki

2 nd to 6 th June 2020

Sl.no

Equipments

 Quantity

1.

Research Oriented Text Books

100

3.

LAPTOP

1

1.

Computer system with table

1

2.

Printer/Xerox/Scanner(three in one)

1

S No

Name

Programme

Topic

Institution

Date

1

Dr Veena P H

STTP

Tool in Teaching, Learning and Research

Dept. of Applied Science and Humanities-BKIT -Bhalki

25 th to 30 th November-2016

S No

Name

Programme

Topic

Institution

Date

1.

Dr Veena P H

One Day Webinar

NAAC Assessment and Accreditition Process

IQAC & CDC ,KSAWUV and NAAC,Bengaluru

29-6-2020

2

Dr Veena P H

One Day Webinar

Awareness of National Education Policy-2020

Smt V G Degree College For Women,Kalaburgi

23-9-2020

3.

Dr Veena P H

One Day Workshop

New Modalities of IQAC / NAAC

M S I Degree College Kalaburgi

8-9-2018

4.

Smt  Ambika Patil

One Day Workshop

New Modalities of IQAC / NAAC

M S I Degree College Kalaburgi

8-9-2018

5.

Smt  Ambika Patil

One day national E-Conference

 NAAC’s New Framework of Accreditation Assessment for Higher Educational Institutions in India

IQAC Yashwantrao Chavan School of Social Work,satara,Maharashtra

08-07-2020

S.No

Date

Name Of The Faculty

College

Topic

1.

.02.2017

Dr.S.M. Shahajahan

Bi Bi Raza Degree College,kalaburagi

Numerical Analysis

2.

.02.2017

Smt.Kausar Jahan

Bi Bi Raza Degree College,kalaburagi

Normal subgroups

3.

16.08.2017

Smt.Sarvar Sultana

Govt.Degree College For Women,Kalaburagi

Graph Theory

4.

14.03.2018

Miss. Sharanamma A

Govt.Degree College ,Jewargi

Limits and Continuity

5.

06.09.2018

Dr. Habeeb

Govt.Degree College For Women,Kalaburagi

Partial Differentiation

6.

04.04.2019

Smt. Rajeshwari  Patil

S.S.Tegnoor Degree College

Analytical Geometry

7.

01.10.2019

Smt. Neelkamal

Govt.First Grade College,Gurumitkal

Interpolation

8.

18.01.2020 – 25.01.2020

Dr Suresh Biradar

Appa Institute of Technology, Kalaburgi

Numerical Methods of solving Differential Equations

S.No

Date

Name Of The Faculty

College

Topic

1.

03.10.2019

Dr.Veena P.H

Govt.First Grade College ,Gurumitkal

Finite Differences

2.

06.09.2018

Dr.Veena P.H

Govt.Degree College For Women,Kalaburagi

Graph Theory

Year

2016-17

2017-18

2018-19

2019-20

2020-21

Names of Students

1 Akshata G Bsc III yr

2 Bindu S           ,,

3 Laxmi A          ,,

4 Neha P            ,,

1. Shruti J BSc I yr

2.Shushma    ,,

3.SriRanjini   ,,

4.Jubeda Begum  ,,

1.Rupini BSc IIIyr

2.Nisha Joshi ,,

3.Asfiya  S      ,,

1.Shruti J BSc IIIyr

2.Pavitra D   ,,

3. Pooja M   ,,

4. Sadiya Anjum ,,

5.Ambika N ,,

6.Amita  BSc I Yr

2.Pooja        ,,

3.Pratiksha   ,,

1.Bushra Fatima BSc III yr

2.Nivedita B K  ,,

3.Suma D  ,,

4. Kavya V BSc I yr

5. Sujata G     ,,

6.Syeda R       ,,

Sl.no

Name

Sl.no

Name

1

Vaishali

11

Laxmi Jain

2.

Rehana

12

Usha

3

Shugufta

13

Shilpa

4

Aditi

14

Sonali

5

Nivedita

15

Bhagyashree

6

Homai Irani

16

Priyanka

7

Kavya S

17

Dharmasree

8

Bhavani

18

Soumya

9

Kaveri

19

Mahalaxmi

10

Laxmi V

20

Vidya

Sl.no

Name

Type

1

Aditi

e-pass

2

Akshata Biradar

e-pass

3

Suma D H

e-pass

4

Pooja Rathod

postmatric

5

Kaveri

e-pass

6

Laxmi M.G

e-pass

7

Kaveri C.G

e-pass

8

Ramyashree

e-pass

9

Bhagyashree

e-pass

10

Kavya

e-pass

11

Nivedita

e-pass

12

Renukadevi

e-pass

13

Anasta Akhatar

NSP

14

Vidyashree H R

Postmatric

15

Pooja G

Postmatric

16

Parvati V

e-pass

17

Bushra Fatima

NSP

18

Jagadevi S P

e-pass

19

Shweta Sahu

e-pass

20

Laxmi S M

e-pass

21

Sabahat Fatima

Postmatric

22

A Madhuri

e-pass

23

Komala R

Poistmatric

24

Madiha Tabassum

Postmatric

25

Vani Algud

e-pass

Sl.no

Name

Type

1

Aditi

e-pass

2

Kavya

e-pass

3

Nikhat Fatima

NSP

4

Bushra Khanum

NSP

5

Kaveri C.G

e-pass

6

Vidyashree H R

Postmatric

7

Pooja G

postmatric

8

Parvati V

e-pass

9

Bushra Fatima

NSP

10

Jagadevi S P

e-pass

11

Shweta Sahu

e-pass

12

Parvati V

e-pass

13

Bushra Fatima

NSP

14

Jagadevi S P

e-pass

15

Shweta Sahu

e-pass

16

Laxmi S M

e-pass

17

Sabahat Fatima

Postmatric

18

A Madhuri

e-pass

19

mahalaxmi

Ssp

20

Shilpa Kamble

Postmetric

Sl.no

Name

Type

1

Syeda Roqaiya Bibi

SSP

2

Swaraj

SSP

3

Ambika Hattaraki

SSP

4

Yamuna Hiremath

SSP

5

Pooja Chavan

SSP

6

Chandrika Mugati

SSP

7

Akshata S B

SSP

8

Nagma Tabassum

SSP

9

Madhumati

SSP

10

Bhagyashree J .C

SSP

11

Tejashwini Kodekal

SSP

12

Deepa Rathod

SSP

13

Aishwarya S Patil

SSP

14

Safura Noorin

SSP

15

Shivani

SSP

16

Sujata Jain

SSP

17

KaveriSindhu Hiremath

SSP

18

Ganga Sirsagi

SSP

19

H Bhagyashree

SSP

20

Supriya Kumasagi

SSP

21

Radhika Hiremath

SSP

22

Sahana Y

SSP`

23

Anjali

SSP

24

Shweta P H

SSP

Sl.No

Name of the student

Institute/university

Course

1

S Neelambika

VTU

MCA

2

Nagaratna

Albadar B.Ed college

B.Ed

3

Sangeeta

Gulbarga University,Gulbarga

M.Sc in Mathematics

4

Priyanka

GUG

M.Sc in Mathematics

5

Pooja

Sharan Basava University

M.Sc in Mathematics

6

Reshma

GUG

M.Sc in Mathematics

7

Jyoti

GUG

M.Sc in Mathematics

8

Shehenaaz Tabassum

Govt. B.Ed college Kalaburagi

B.Ed

9

Bushra Fatima

Govt.First grade PG center for women, Kalaburagi

B.Ed

10

Nikhita B.H

CUK,kadaganchi

MCA

11

Yogita

CUK,kadaganchi

MCA

12

Deepti

CUK,kadaganchi

MCA

13

Jayashree

CUK,kadaganchi

MCA

Sl.No

Name of the student

Institute/university

Course

1

Sudharani

KCT B.ed College

B.Ed

2

Ayesha Siddiqua

National B.Ed college

B.Ed

3

Afridi Banu

RKVC bagodar Giridi

B.Ed

4

Amera Farheen

National B.Ed college

B.Ed

5

Priyanka Kote

Govt.First Grade college

M.Sc in Mathematics

6

Sneha

Sharana Basava University , Kalaburagi

M.Sc in Physics

7

Anjali

Sharana Basava University , Kalaburagi

M.Sc in Physics

8

Neha

Sharana Basava University , Kalaburagi

M.Sc in Physics

9

Sana Farheen

Sharana Basava University , Kalaburagi

M.Sc in Physics

10

Parvati

Sharana Basava University , Kalaburagi

M.Sc in Physics

Sl.No

Name of the student

Institute/university

Course

1

Renuka

Sharana Basava University , Kalaburagi

M.Sc in Mathematics

2

Priti

Sharana Basava University , Kalaburagi

M.Sc in Physics

3

Priyanka Bharati

GUG

M.Sc  in Computer Science

4

Mehejabeen

CUK

B.Ed

5

Jyoti S

CUK

B.Ed

6

Nikhita

Sharana Basava University , Kalaburagi

MCA

7

Aishwarya Patil

Maharani college Bengaluru

M.Sc in Chemistry

8

Survarabi

KSWU, Vijayapur

B.Ed

9

Prasheela

KSWU, Vijayapur

M.Sc in Physics

10

Priyanka

KSWU, Vijayapur

M.Sc in Physics

Sl.No

Name of the student

Institute/university

Course

1

Shruti Jajee

Smt.V.G  Degree and PG Center For Women, Kalburagi

M.Sc in Physics

2

Shruti Kulkarni

Smt.V.G  Degree and PG Center For Women, Kalburagi

M.Sc in Physics

3

Bhuvaneshwari

Smt.V.G  Degree and PG Center For Women, Kalburagi

M.Sc in Physics

4

Syeda Ayesha

Smt.V.G  Degree and PG Center For Women, Kalburagi

M.Sc in Physics

5

Humera Tabassum

GUG

M.Sc in mathematics

6

Uzma amreen

GUG

M.Sc in mathematics

7

Zubeda Begum

GUG

M.Sc in mathematics

8

Sadiya Anjum

GUG

M.Sc in mathematics

9

Parvati G

GUG

M.Sc in mathematics

10

Kavya

VTU

MBA

Sl.No

Name of the student

Institute/university

Course

1

Shruti Pati

Sharanabasava University,Kalaburagi

MSc Mathematics

2

Manikeshwari Patil

Sharanabasava University,Kalaburagi

MSc Mathematics

3

Vidya

Godutai college,kalbiragi

B.Ed

4

Kaveri S

Rajkumar Academy Bengaluru

UPSC Coaching

5

Kaveri J

Sharanabasava University,Kalaburagi

MSc Physics

6

Homai Irani

Smt.V.G.PG Center For Women’s,Kalaburagi

MSc Physics

7

Bhavani

KSWU Vijaypura

MSc Mathematics

8

Bhagya

KSWU Vijaypura

MSc Mathematics

9

Anasta

Smt.V.G.PG Center For Women’s,Kalaburagi

MSc Physics

10

Syed Sania

Smt.V.G.PG Center For Women’s,Kalaburagi

MSc Physics

11

Hema

Smt.V.G.PG Center For Women’s,Kalaburagi

MSc Physics

12

Archana C

Sharanabasava University,Kalaburagi

MSc Mathematics

13

Bhoomika R H

Sharanabasava University,Kalaburagi

MSc Mathematics

14

Shalonika

Govt.Autonomous college ,Kalaburagi

MSc Mathematics

15

Akshata Biradar

Karnataka science college ,Dharwad

MSc Physics

16

Poornima A H

Sharanabasava University,Kalaburagi

MSc Mathematics

17

Muskan Ahmedi

Albadar B.Ed college,Kalaburagi

B.Ed

18

Syeda Neha Kouser

Govt.Autonomous college ,Kalaburagi

MSc Physics

19

Priyanka More

Mahanteshwari Vidyavardhak Sangha Afzalpur

B.Ed

20

Vidya I.H

Godutai Women’s College Kalaburgi

B.Ed

21

Bhavani D K

S B college,kalaburagi

B.Ed

22

Mahalaxmi

Godutai Women’s College Kalaburgi

B.Ed

23

Bhavani Kallur

Gulbarga University,Kalaburgi

MSc Electronics

24

Mehvish Tazeen

Govt,First Grade college ,kalaburgi

MSc Mathematics

25

Sudharani M

Nagambika Womens college,kalaburgi

B.Ed

26

Poornima A H

S.b college,Kalaburgi

Msc Mathematics

Sl.No

Acadamic Year

Links

1

2016-17

1.B.sc I sem

2.B.Sc III sem

3. B.Sc V sem

2

2017-18

1.B.Sc I sem

2. B.Sc III sem

3.B.Sc V sem

3

2018-19

1.B.Sc I sem

2.B.Sc III sem

3.B.Sc V sem

4

2019-20

1.B.Sc  I sem

2.B.Sc  III sem

3.B.Sc V sem

5

2020-21

1.B.sc I sem

2.B.Sc III sem

3.B.Sc V sem

PO-1:

To get a relational understanding of mathematical concepts and concerned topics like trignometrical, algebraical and matrix based problems and they will be able to follow the methods and patterns involved in mathematical reasoning.

PO-2:

To Made aware of past, present and future role as a part of their life, culture by studying history of mathematics.

PO-3:

To assess the properties of the numbers, sequence and series theory with summation of trigonometric series. They become perfect to apply calculus properties like tangent, polar subtangent to their real life problems.

PO-4:

To use different types of Canonical types of groups, to analyze and demonstrate example on ‘Sylow theorems’ to identify the whole abstract albegraical hierarchy.

PO-5:

To understand concepts of geometry of scalars, vectors, divergence mathematically and  able to apply various advanced mathematical methods to solve engineering problems independently.

PO-6:

To Employ mathematical knowledge to design, carry out, analyse and conclude the results they obtain in their higher study.

PO-7:

To Create awareness of the subject mathematics in the society and for the sustainable development and to inculcate the mathematical temperament in the students.

PO-8:

To Use various modern mathematical techniques, decent equipments and mathematics softwares to solve highly difficult problems.

PSO-1:

To Acquire and gain the knowledge in different fields of mathematics through theoretical study and presenting seminars and projects.

PSO-2:

To Recognize and identify several mathematical formulae and solve the problems numerically.

PSO-3:

To explain in detail about the different symbols, abbreviations, nomenclature in algebraic, trigonometric and geometric equations.

PSO-4:

To Use advanced and modern mathematical tools, models, flow charts, log tables, and equipments.

PSO-5:

To Develop research oriented skills.

PSO-6:

To Made aware and how to handle the equipments like LCD, smart boards and mathematical soft wares.

Course:

  Vector Analysis and Laplace Transforms

CO-1:

To write and solve many directional derivatives, geometrical meaning of scalar, vectors and represent the above in both cartisien and cylindrical coordinates.

CO-2:

To present expressions for solenoidal, laplacian, vector identities mathematically.

CO-3:

To apply greens, gauss and stokes theorems to solve curvilinear co-ordinated mathematical problems.

CO-4:

To understand various periodic, non periodic functions, fourier series with equal and unequal intervals and applying fourier series expansion for various problems.

CO-5:

To learn and gain the knowledge of laplace transformations, heavisides unit step function and convolution theorem. To apply transformation technique to solve ordinary differential equations of first and second order.

 Differential Equations – II

 Co-1:

To identify the nature of differential equation and to solve the equation by applying series solution method.

Co-2:

To Gain the knowledge of Legendre and Bessel two special type of differential equations and their solution methods.

Co-3:

Students will be familiar with the techniques of total differentiation and integration of a function with two or three variables.

Co-4:

To identify the type of partial differential equation and how to form pde with elimination of arbitrary constants and functions.

Co-5:

To get the knowledge of solving methods of  5 standard types of linear partial differential equations and reduce to standard form and solve.

Co-6:

To apply standard charpits method of solving non-linear partial differential equations.

Co-1:

To know and understand the meaning of a graph, sub graph, null graph etc

Co-2:

To Have the knowledge about degree of a vertex, isomorphism, line graph and total graph.

Co-3:

To Identify the nature of different graphs like spanning graph, induced subgraph, walk, trial, path, cycle and bipertite graphs.

Co-4:

To characterize the minimum and maximum degree of a vertex of a graph. To apply graph theory logics to solve shortest path problems.

Co-5:

Apply graph theory techniques to represent any graph through matrix presentation. Gain relevant knowledge about the applications of graphs to characterize incidence, adjecency, rank and cyclic matrices.

Co-1:

To know the classification of different types of errors in number theory and can apply in their day to day life situations

Co-2:

To solve non-linear algebraic equations by various numerical methods like bisection, Newton-Raphason and the secant method.

CO-3:

To apply still standard numerical methods of Gauss Elimination, Jacobi and Gauss – Seidal to solve non-linear algebraic equations.

CO-4:

To gain the knowledge of research oriented methods of numerical differentiation and numerical integration schemes, Newtons forward and backward interpolation schemes to solve many engineering and physics problems.

CO-5:

To Learn and solve fluid mechanical problems by designing them through mathematical modellings and by applying numerical integration techniques like Trapezoidal rule, Simpsons 1/3^rd and 3/8^th rules, weddles rule, picards method, Eulers modified method and Fourth order Runge Kutta method.

Co-1:

To analyze expressions for series of sines, cosines, analytic functions and types of convergence .

CO-2:

To represent conjugate and modules of complex numbers geometrically and pictorially.

CO-3:

To apply concept and consequences of analyticity and C-R equations in both Cartesian and Polar form.

CO-4:

To calculate and compute complex contour integrals and applying various Cauchy-integral theorems to solve complex trigonometric  problems.

CO-5:

To extract the knowledge of convergence of improper integrals like Beta and Gamma functions. To apply sterling formulae, duplication formulae for the evaluation of improper integrals.

Co-1:

To understand the heridetory definitions of graphical cut vertex, bridge, tree, block, spanning and rooted tree, binary trees and forest.

CO-2:

To have the rigarous knowledge of properties of trees and characterization of trees and how to apply those concepts for some networking problems

CO-3:

To understand and prove the theorems on connectivity and proving very important concept of Whitney’s inequality and concept Menger’s theorem.

CO-4:

To represent very important life situation problem of Konigsberg Bridge and Travelling salesman through Graphs and Solving them.

CO-5:

To characterize the concepts of Eularian and Hamiltonian graphs and to apply graph theory tools in electronics network.  They also able to apply the concept of graphtheory to coding and decoding in Electronics.