DEPARTMENT OF MATHEMATICS

The  Department  of  Mathematics  was  established  in MVJCE  in  Bangalore in  the  year  1982  with  the objective  of  imparting  quality  education  in  the  field of Mathematics. Since Mathematics is the back bone of Science, Engineering and Technology.  The   department  tries hard to develop the students  in  the  fundamental  concepts  of  mathematics to  shine  in  their  respective  fields  of  engineering.   The  Department  of  Mathematics  also  has  expertise in  various  fields  of  Applied  Mathematics  which  has enabled  them  to  teach  several  subjects  pertaining  to mathematics  and  its  applications  like  Graph  Theory, Discrete  Mathematics  for  Under  Graduate  Courses and  Numerical   Methods,   Advanced  Mathematics, Optimization  Techniques,  Applied  Mathematics  and Probability  and  Random  Process  for  Post Graduate Courses.

VISION OF THE DEPARTMENT

Department of Mathematics strives to be recognized for academic excellence through the depth of its teaching and research. It will distinguish itself as a regional leader in higher education for teaching. The department strives to earn regional recognition for its expertise in the field of Mathematics and the teaching of Mathematics. We will be a source for the promotion of problem solving, analytical thinking and utilizing technology.

MISSION OF THE DEPARTMENT

  • Making engineers to develop Mathematical thinking where students can learn and become competent users of Mathematics and Mathematical application.
  • To interweave real world experiences and practical life skills with the applications of Mathematics.
  • We achieve this through an innovative curriculum.
  • We, the faculty, collaborate with other researchers in solving engineering and scientific problems.

COURSES TAUGHT

  1. Engineering Mathematics – I
  2. Engineering Mathematics – II
  3. Engineering Mathematics – III
  4. Engineering Mathematics – IV
  5. Discrete Mathematical Structures

COURSE OUTCOMES:

Engineering Mathematics – I

On completion of this course, students are able to

C101.1 Use nth derivative of product of two functions and to visualize and calculate the area between two polar curves.
C101.2 Use partial derivatives to calculate rates of change of multivariate functions
C101.3 Analyze position, velocity, and acceleration in two or three dimensions using the calculus of vector valued functions.
C101.4 Recognize and solve first-order ordinary differential equations, Newton’s law of cooling
C101.5 Use matrices techniques for solving systems of linear equations in the different areas of Linear Algebra.

 

Engineering Mathematics – II

On completion of this course, students are able to,

C109.1 solve differential equations of electrical circuits, forced oscillation of mass spring and elementary heat transfer.
C109.2 solve partial differential equations fluid mechanics, electromagnetic theory and heat transfer.
C109.3 Evaluate double and triple integrals to find area , volume, mass and moment of inertia of plane and solid region.
C109.4 Use curl and divergence of a vector valued functions in various applications of electricity, magnetism and fluid flows.
C109.5 Use Laplace transforms to determine general or complete solutions to linear ODE

 

Engineering Mathematics – III

Course Outcomes: On completion of this course, students are able to:

C201.1 Know the use of periodic signals and Fourier series to analyze circuits and system communications.
 

C201.1

Explain the general linear system theory for continuous-time signals and digital signal processing using the Fourier Transform and z-transform.
 

C201.1

Employ appropriate numerical methods to solve algebraic and transcendental equations.
C201.1 Apply Green’s Theorem, Divergence Theorem and Stokes’ theorem in various applications in the field of electro-magnetic and gravitational fields and fluid flow Problems.
C201.1 Determine the extremals of functionals and solve the simple problems of the calculus of variations.

 

Engineering Mathematics – IV

On completion of this course, students are able to:

C209.1 Use appropriate single step and multi-step numerical methods to solve first and second order ordinary differential equations arising in flow data design problems.
C209.2 Explain the idea of analyticity, potential fields residues and poles of complex potentials in field theory and electromagnetic theory.
C209.3 Employ Bessel’s functions and Legendre’s polynomials for tackling problems arising in continuum mechanics, hydrodynamics and heat conduction.
C209.4 Describe random variables and probability distributions using rigorous statistical methods to analyze problems associated with optimization of digital circuits, information, coding theory and stability analysis of systems.
C209.5 Apply the knowledge of joint probability distributions and Markov chains in attempting  engineering problems for feasible random events.

 

Discrete Mathematical Structures:

After studying this course, students will be able to:

C204.1 Verify the correctness of an argument using propositional and predicate logic and truth tables.
C204 .2 Demonstrate the ability to solve problems using counting techniques and combinatorics in the context of discrete probability.
C204 .3 Solve problems involving recurrence relations and generating functions.
C204 .4 Construct proofs using direct proof, proof by contraposition, proof by contradiction, proof by cases, and mathematical induction.
C204 .5 Explain and differentiate graphs and trees

 

Graduate Attributes (as per NBA)

  1. Engineering Knowledge
  2. Problem Analysis
  3. Conduct Investigations of Complex Problems

RESEARCH AND DEVELOPMENT

Department of Mathematics is actively involved in the research activities. The Department consists Four  Part-time Ph.D candidates:

  • Sampoorna. V : Area of research is Homotopy Analysis. She has cleared the Course work and currently doing the literature survey. Also she has published one research paper in Homotopy analysis.
  • Naveen Bala. A : Area of research is Fluid Dynamics (Stretching the sheets and cylinders ). He has cleared the Course work and currently doing the literature survey.
  • Raghu. N : Area of research is Fluid Dynamics (Conviction of Di-electric fluid ). He has cleared the Course work and currently doing the literature survey.
  • S. Sowmya: Area of research is Graph theory

FACULTY LIST

S.No Name Qualification Designation
1 Mrs. A.Sonia M.Sc., M.Phil.,(Ph.D) Asso. Prof & HOD
2 Dr. R.Poornima M.Sc, M.Phil., Ph.D Prof
3 Mr.S.Perumal M.Sc, M.Phil., Asst. Prof
4 Dr. Nidhi Vaishnaw M.Sc, M.Phil., Ph.D Asst. Prof
5 Mrs. Sampoorna M.Sc, M.Phil.,(Ph.D) Asst. Prof
6 Dr. A.Edwin Raj M.Sc, M.Phil., Ph.D Asst. Prof
7 Mrs. S.Sowmya M.Sc, M.Phil., (Ph.D) Asst. Prof
8 Mr. Naveen Bala M.Sc., (Ph.D) Asst. Prof
9 Mrs. G.Sangeetha M.Sc Asst. Prof
10 Mrs Leera Dezlin Rebello M.Sc., (Ph.D) Asst. Prof
11. Dr.M.Saradha M.Sc, M.Phil., Ph.D Asst. Prof
12. Mr.Raghu.N M.Sc., (Ph.D) Asst. Prof
13. Ms.M.Sowmya M.Sc., Asst. Prof
14. Mrs.Suma Shyabal M.Sc., Asst. Prof
15. Mrs.Sreeja Anil M.Sc., Asst. Prof

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