Course StructureBCA 104
Mathematics I
1
Logic, Relations, Functions, and Graphs
Elementary logic, ordered axioms, relations and functions, graphs.
2
Sequence and Series
Arithmetic/geometric/harmonic series, means, sums.
3
Matrices and Determinants
Matrices, determinants, properties, inverse, rank, and system of linear equations.
4
Analytical Geometry
Conic sections, standard equations of circle, parabola, ellipse, hyperbola, and polar equations.
5
Vector and Vector Space
Vector operations, scalar and vector products, vector space, subspace, linear dependence and independence.
6
Permutations and Combinations
Counting principles, permutations of n objects, circular permutations, combinations and their properties.