Karmayogi Institute of Technology, Shelve

Computer Engineering

Head of Department
Prof. Dipak Bhosale
First Year
Computer Engineering
Number of Lab
- 5

Course Summery

The department of Computer Engineering and engineering embodies Physics, Chemistry, Mathematics, and Communication Skills and Engineering subjects. These subjects are part of first year engineering undergraduate course. All the above subjects are compulsory for first year engineering curriculum.

Vision

To educate students in fundamental engineering and preparing them for self transformation towards innovative and competent engineer.

Mission

With a high caliber faculty and excellent infrastructure, we promote academic excellence, absolute discipline and sound practical exposure

Objectives

To provide fundamental of basic sciences & Communication Skills
To enhance moral, intellectual, emotional, physical development.
To provide caring and nurturing environment
To be at leading position in the university results of FY Btech.

Department Overview

The Department have Ph. D. Completed TWO Faculties in Mathematics, Two faculties in Physics & one in English.
Our students have participated/ won in various academic, sports, technical competitions at institute, university level.
The department has Engineering physics and chemistry labs which has total investment of four lakhs approximately.

Teaching and Evaluation Scheme for First Year B. Tech. (All Branches)

BTBS101
Engineering Mathematics – I
30 Hours

Unit 1:Linear Algebra- Matrices
Inverse of a matrix by Gauss-Jordan method; Rank of a matrix; Normal form of a matrix ; Consistency of non- homogeneous and homogeneous system of linear equations ; Eigen values and eigen vectors ; Properties of eigen values and eigen vectors (without proofs); CayleyHamilton’s theorem (without proof) and its applications.

Unit 2:Partial Differentiation
Partial derivatives of first and higher orders; Homogeneous functions – Euler’s Theorem for functions containing two and three variables (with proofs); Total derivatives; Change of variables.

Unit 3:Applications of Partial differentiation
Jacobians - properties; Taylor’s and Maclaurin’s theorems (without proofs) for functions of two variables; Maxima and minima of functions of two variables; Lagrange’s method of undetermined multipliers.

Unit 4:Reduction Formulae and Curve Tracing
Reduction formulae for ∫0π2sinnx dx , ∫0π2cosnx dx , ∫0π2sin mx cosnxdx ; Tracing of the curves given in Cartesian, parametric & polar forms.

Unit 5:Multiple Integrals
Double integration in Cartesian and polar co-ordinates; Evaluation of double integrals by changing the order of integration and changing to polar form; Triple integral; Applications of multiple integrals to find area as double integral , volume as triple integral and surface area.

Subject Code.2
Subject Name
Subject Hours