The proposed Syllabus for B.Tech Program in IT or Information Technology as offered by CCS or Chaudhary Charan Singh University, Meerut is as follows:

Course Code: MTH-S101

Course Name: Mathematics-I

Course Details:
Unit I
Applications of integrals : Areas between curves, Methods of finding volume : Slicing, solids of revolution , Cylindrical shell , Lengths of plane curves,Areas of Surface of revolution, Moments and Center of mass, Work, Fluid pressure and Forces . Trapezoidal and Simpson rule , Improper integrals .

Unit II
Sequences: Definition, Monotonic sequences, Bounded sequences, Convergent and Divergent Sequences. Series: Infinite series, Oscillating and Geometric series, their Convergence, Divergence . Tests of Convergence: nth Term test of divergence, Integral test, Comparison Test, Limit Comparison test, Ratio test (Delambert), nth root test (Cauchy root test), Alternating series, Absolute and conditional convergence.. Power Series: Power series and its convergence, Radius and interval of convergence, Term by term differentiation , Term by term integration, Product of power series, Taylor and Maclaurin series , convergence of Taylor series, Error estimates ,Taylor’s Theorem with remainder .

Unit III
Vector Calculus: Vector valued functions , Arc length and Unit Tangent vector, Curvature, Torsion and TNB frame . Partial Derivatives: Function of two or more variables (Limit, Continuity, Differentiability , Taylors Theorem ) , Partial derivatives, Chain Rule, Partial Derivatives of higher orders, , Maxima and Minima and Saddle Point, Lagrange Multipliers, Exact differential, Jacobian, Leibnitz Theorem. Directional derivatives, Gradient Vectors, Divergence and Curl , Tangent planes .

Unit IV
Multiple Integrals: Double and triple integral, Change of order, Change of variables, Application to area and volume, Dirichlet integral and applications. Line, surface integrals , Path independence, Statement and problems of Green’s, Stoke’s and Gauss divergence theorems (without proof).

CCS University B.Tech IT Syllabus

Attached Files

CCS University B.Tech IT Syllabus.pdf (262.4 KB, 104 views)