BCA 3 SEMESTER MATHEMATICS SYLLABUS

  MATHEMATICS - II (COMPUTER ORIENTED METHODS)  

 

SYLLABUS:  

 SECTION A Matrix Algebra: Introduction of a matrix, its different kinds, matrix addition and scalar multiplication, Multiplication of matrices, Square matrix, Rank of a matrix; Transpose. Adjoint and Inverse of a matrix. 

 

Solving simultaneous equations using Gauss elimination method, Gauss Jorden Method and matrix Inversion method. 

 

Statistics; Measures of central tendency. Preparing frequency distribution table, arithmetic mean. Geometric mean, harmonic mean, median and mode. Measures of dispersion: Range, mean deviation, Standard deviation, co-efficient of variation, moments, Skewness and Kurtosis. 

 

SECTION B 

 Differential Calculus: Introduction, Differentiation, Derivative of a. Function of One Variable, Power Function, Sum and Product of Two. Functions, Function of a Function. Differentiation by method of Substitution, Maxima and Minima. 

 

Integral Calculus: Indefinite Integral, Integration by substitution, integration by parts. Integration by Partial fractions, definite integral. 

 

Numerical integration: Trapezoidal method, Simpson's 1/3 rule, and Simpson's 3/8 rules. 

 

References: 

 1. Raja Raman Computer Oriented numerical methods. 2. B.S. Grewal Numerical methods to Engg. 3. D.C. Sancheti Business Mathematics.