MCA · Sem 1 (Non-credit) · MCA · Sem 2 (Non-credit)
Definition of Determinant, Properties of determinants, Minors, Cofactors, Product of two determinants. Matrices: Introduction to Matrix, Types of Matrices, Addition & Subtraction of matrices, Matrix Multiplication, Inverse of a Matrix, Rank of Matrix, Dependence of Vectors, Eigen Vectors of a Matrix.
Number system, Division algorithm, Factorization Theorem, H.C.F. and L.C.M. Set Theory: Introduction, Types of Sets, Size of sets and Cardinals, Venn diagrams, Operation on Sets, Ordered pairs and Set Identities. Relation: Definition, Operations on Relations, Types of Relation, Equivalence Relation. Function: Definition, Types of Function and its Applications.
Introduction to Probability, Sample Space and events, Addition & Multiplication Theorem, Bayes theorem. Statistics: Definition of Statistics, Classification of Data, Frequency distribution, Presentation of data through Histogram, Frequency Curve & Polygon, Computation of Arithmetic mean, median and mode for ungrouped data and grouped data.
Arithmetic, Geometric and Harmonic progressions, Exponential and Logarithmic Series, Binomial Theorem, Groups, Types of Groups, Properties of Groups. Limit & Continuity: Limit at a Point, Properties of Limit, Computation of Limits of Various Types of Functions, Continuity at a Point.
Derivative, Derivatives of Sum, Differences, Product & Quotients, Derivatives of Composite Functions, L-Hospitals Rule, Maxima & Minima. Integration: Integral as Limit of Sum, Fundamental Theorem of Calculus (without proof.), Indefinite Integrals, Methods of Integration Substitution, By Parts.
After completion of the course student will be able to:
This subject is on page 2, 3 of the original AKTU PDF.
