# Information Technology

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Communicative English Bachelor of Information Technology First Year First Semester Course Description: This course is designed for the students of BIT level: first year first semester of Purbanchal University who have completed either Diploma level in Engineering or I.Sc. or +2 from any institution recognized by this university. It intends to develop and strengthen in students the basic and communicative skills in the English language with emphasis on speaking, reading and writing. Course Objectives: This course intends to develop: – Skills needed for group discussion, meeting conduction and technical talk. – Intensive and extensive reading skills in technical and non-technical reading materials. – skills in writing…show more content…
Coordinate Systems 3 hrs. 1. Rectangular coordinates in a plane 2. Polar coordinates 3. Rectangular coordinates in space 4. Cylindrical polar coordinates 5. Spherical polar coordinates 6. Transformation of one coordinates system into another system . 2. Elementary Coordinate Geometry 10 hrs. 2.1 The Conic sections 2.2 Translation of Axes 2.3 Equation of a conic in polar coordinates 3.Vectors and Solid Geometry 3.1 The concept of a vector 3.2 Addition & Subtraction of vectors 3.3 Resolution of Vectors 3.4 Scalar or Dot Product of Two Vectors 3.5 Vector or Cross Product of Two Vectors 3.6 Equations of lines and planes 3.7 Product of three or more vectors 8. Sphere, Cylindrical and cones 9. Quadratic Surfaces. 4. Applications of Differentiation 8 hrs 4.1 Geometrical Applications 4.2 Related Rates 4.3 Rolle’s and Mean – Value theorems 4.4 Indeterminate forms 4.5 Maxima and Minima 4.6 Taylor’s and Maclaurin’s series 4.7 Curvature 4.8 Asymptotes 5. Application of the Definite Integral 5 hrs. 5.1 Area bounded by a curve 5.2 Volumes and surfaces of solids of revolution 5.3 Length of an area of a curve 5.4 Areas and volumes in polar coordinates 6. Functions of Several Variables 4 hrs. 6.1 Functions of several variables 6.2 Limits and continuity 6.3 Partial derivatives, First and Second Order 6.4 Geometrical Interpretation of 6.5