PESITM - PES Insititute of Technology & Management

About the Department

The Department of Mathematics has come into existence since the inception of the Institute (i.e. in the year 2007). The Department wishes to focus on providing a comprehensive curriculum at undergraduate and postgraduate levels, relevant research and career opportunities in India and abroad. The department has well qualified, dedicated and self-motivated faculty members. Staff members are involved in the research activities. Major areas of research like Algebra, Differential Geometry and Fluid Dynamics are successfully pursued by our very eminent and scholarly staff.

Course Outcomes (COs)

MATHEMATICS-1 FOR CSE STREAM(BMATS101)

Apply the knowledge of calculus to solve problems related to polar curves.
Apply partial differentiation to calculate rate of change of multivariate functions and solve problems related to composite functions and Jacobians.
Demonstrate various physical models through linear and nonlinear ordinary differential equations analytically.
Apply the knowledge of Modular Arithmetic for Cryptography, Encoding and Decoding and computer algorithms.
Apply the elementary matrix theory to solve the system of linear equations.

MATHEMATICS-1 FOR CIVIL ENGG STREAM(BMATC101)

Apply the knowledge of calculus to solve problems related to polar curves.
Apply partial differentiation to calculate rate of change of multivariate functions and solve problems related to composite functions and Jacobians.
Demonstrate various physical models through linear and nonlinear ordinary differential equations analytically.
Find solution of Higher order linear differential Equations.
Apply the elementary matrix theory to solve the system of linear equations.

MATHEMATICS-1 FOR EEE ENGG STREAM(BMATE101 )

Apply the knowledge of calculus to solve problems related to polar curves.
Apply partial differentiation to calculate rate of change of multivariate functions and solve problems related to composite functions and Jacobians.
Demonstrate various physical models through linear and nonlinear ordinary differential equations analytically.
Define the concept of multiple integrals to evaluate area, volume and to solve problems on improper integrals
Apply the elementary matrix theory to solve the system of linear equations.

MATHEMATICS-1 FOR ME ENGG STREAM(BMATM101 )

Apply the knowledge of calculus to solve problems related to polar curves.
Apply partial differentiation to calculate rate of change of multivariate functions and solve problems related to composite functions and Jacobians.
Demonstrate various physical models through linear and nonlinear ordinary differential equations analytically.
Find solution of Higher order linear differential Equations.
Apply the elementary matrix theory to solve the system of linear equations.

Program Outcomes (POs)

Engineering Graduates will be able to:

Engineering knowledge: Apply the knowledge of mathematics, science, engineering fundamentals, and an engineering specialization for the solution of complex engineering problems.

Problem analysis: Identify, formulate, research literature, and analyze complex engineering problems reaching substantiated conclusions using first principles of mathematics, natural sciences, and engineering sciences.

Design/development of solutions: Design solutions for complex engineering problems and design system components or processes that meet the specified needs with appropriate consideration for public health and safety and cultural, societal, and environmental considerations.

Conduct investigations of complex problems: Use research-based knowledge and research methods including design of experiments, analysis and interpretation of data, and synthesis of the information to provide valid conclusions.

Modern tool usage: Create, select, and apply appropriate techniques, resources, and modern engineering and IT tools, including prediction and modeling to complex engineering activities, with an understanding of the limitations.

The engineer and society: Apply reasoning informed by the contextual knowledge to assess societal, health, safety, legal, and cultural issues and the consequent responsibilities relevant to the professional engineering practice.

Environment and sustainability: Understand the impact of the professional engineering solutions in societal and environmental contexts, and demonstrate the knowledge of, and need for sustainable development.

Ethics: Apply ethical principles and commit to professional ethics and responsibilities and norms of the engineering practice.

Individual and team work: Function effectively as an individual, and as a member or leader in diverse teams, and in multidisciplinary settings.

Communication: Communicate effectively on complex engineering activities with the engineering community and with the society at large, such as, being able to comprehend and write effective reports and design documentation, make effective presentations, and give and receive clear instructions.

Project management and finance: Demonstrate knowledge and understanding of the engineering and management principles and apply these to one’s own work, as a member and leader in a team, to manage projects and in multidisciplinary environments.

Life-long learning: Recognize the need for, and have the preparation and ability to engage in independent and life-long learning in the broadest context of technological change.

Dr. Aveesh S.T

Professor & Head of the Department, First Year Coordinator

Dr. Umeshaiah M

Associate Professor

Dr. Shanmukha M C

Associate Professor

Mrs. Veda L.K

Assistant Professor

Mrs. Swathi V

Assistant Professor

Dr. Soumya D.O.

Assistant Professor

Ms. Meghana R.

Assistant Professor

Veerabhadrappa D S

Office Assistant

Preethi S

Lab Instructor

Shivashankar D

Attender

Facilities / Labs

Details of the Equipment:-
The lab consists of 65 good configuration computers with the specifications of Computers: Acer Intel(R) Core (TM) i5-9400 CPU @ 2.90GHz, RAM 8.00 GB (7.82 GB usable), 1TB HDD,64-bit operating system, x64-based processor, Windows 10 Pro. Windows-7 64-bit Operating system has been installed for all systems as per requirement.

Lab InCharge:-

Ms. Meghana G, Assistant Professor.

Supporting Staff:-

Ms. Preethi J, Lab Instructor.

Research

Focus of Research

Major areas of research are Algebra, Differential Geometry and Fluid Dynamics.

Research Supervisor and Scholar details

Dr. Aveesh S.T

SI. No	University	Student	Research Area	Status
1	VTU, Belagavi	Mr. Deepak S, Department of Mathematics, Alva’s PG Center, Moodbidri.	The Study of Applications in Finsler Geometry	Final Synopsis submitted
2	VTU, Belagavi	Mrs. Akshatha, Department of Mathematics, Degree College, Chikmangalore.	Differential Geometry	Course work Exam attending
3	VTU, Belagavi	Mrs. Sathish, Department of Mathematics, Degree College, Davanagere	Differential Geometry	Course work Exam attending

ResearchGrants

Project Title	Funding Agency	Total Grant	Project Period	Status
“Medical Image Analysis using Riemann and Finsler Geometry”	VGST, Department of IT, BT and S&T, Government of Karnataka.	Rs. 4.00 Lakhs	2015-2016	Completed