BCA-101 Mathematics-  SEMESTER – I

BCA-101 Mathematics-  SEMESTER – I

CHAUDHARY CHARAN SINGH UNIVERSITY, MEERUT THREE YEARS BACHELOR OF COMPUTER APPLICATION PROGRAMME 

COURSE CONTENT FOR SEMESTER – I 

BCA-101 MATHEMATICS -I 

Unit – I DETERMINANTS –Definition, Minors, Cofactors, Properties of Determinants MATRICES: Definition, Types                                                                          of Matrices, Addition, Subtraction, Scalar Multiplication and Multiplication of Matrices,                                                                           Adjoint, Inverse, Cramers Rule, Rank of Matrix Dependence of Vectors, Eigen Vectors                                                                               of a Matrix, Caley- Hamilton Theorem (without proof) 

Unit – II LIMITS & CONTINUITY: Limit at a Point, Properties of Limit, Computation of Limits of Various Types of                                                                                               Functions, Continuity at a Point, Continuity Over an Interval, Intermediate Value                                                                                         Theorem, Type of Discontinuities 

Unit– II DIFFERENTIATION: Derivative, Derivatives of Sum, Differences, Product & Quotients, Chain Rule, Derivatives                                                                    of Composite Functions, Logarithmic Differentiation, Rolle’s Theorem, Mean Value                                                                                    Theorem, Expansion of Functions (Maclaurin’s & Taylor’s), Indeterminate Forms,  L’                                                                                     Hospitals Rule, Maxima & Minima, Curve Tracing, Successive Differentiation & Liebnitz                                                                             Theorem.