Notion of program, programmability and programming languages, Structure of programs, Object codes, compilers.Introduction to the Editing tools such as vi or MS-VC editors. Projections of Points and Lines Introduction of planes of projection, Reference and auxiliary planes, projections of points and lines in different quadrants, traces, inclinations, and true lengths of the lines, projections on auxiliary planes, shortest distance intersecting and non-intersecting lines.
Obtaining true shape of the plane figure by projection.
Linear Algebra: Vector spaces linear independence and dependence of vectors, inner products, Inner product spaces, Matrices and determinants, Linear transformations, Systems of linear equations- consistency and inconsistency, Gauss elimination, rank of a matrix, inverse of a matrix, Bilinear, Quadratic, Hermitian, Skew-Hermitian Forms, Eigenvalues and Eigenvectors of a matrix, diagonalization of a matrix, Cayley-Hamilton Theorem (without proof).
Concepts of the finite storage, bits, bytes, kilo, mega and gigabytes, Concepts of character representation. Planes Other than the Reference Planes Introduction of other planes (perpendicular and oblique), their traces, inclinations etc., projections of points and lines lying in the planes, conversion of oblique plane into auxiliary plane and solution of related problems.
General Importance, Significance and scope of engineering drawing, Lettering, Dimensioning, Scales, Sense of proportioning, Different types of projections, Orthographic projections, B. Projections of Plane Figures Different cases of plane figures (of different shapes) making different angles with one or both reference planes and lines lying in the plane figures making different given angles (with one or both reference planes).
The student will have to present the progress of the work through seminars and progress reports.
The student will submit a synopsis at the beginning of the semester for approved from the departmental committee in a specified format.
Recommended Books: Introduction: Overview of computer organization and historical perspective computer applications in various fields of science and management.
Data representation: Number systems, character representation codes, Binary, hex, octal codes and their inter conversions.
Power series method of solution of DE, Legendres Equation, Legendres Polynomials, Bessels equation, Bessels function.