# MATHEMATICS I

BCA 101 (A): MATHEMATICS I *

Total: 50 Hrs

1)  ALGEBRA:

Partial fractions, indices and logarithms with standard problems. Progressions: AP, GP, HP. Mathematical induction, Theory of equations - solution of Quadratic, Cubic and biquadratic equations. Permutations and combinations. Binomial theorem, binomial coefficients. (14 Hrs)

2)  TRIGONOMETRY:

Angles and their measurements, Radian measure. Trigonometric functions of standard angles; compound angles, multiple and submultiple angles, Transformation formula. Heights and distances, gaphs of trigonometric functions, Relation between sides and angles of a triangle, solution of triangles. -(14 Hrs)

3)  GEOMETRY:

Coordinate system, distance formula, section formula, locus of a point. Equations of straight lines, angle between two straight lines. Pairs of lines.

(8 Hrs)

4)  CALCULUS:

Limits, Continuity, Differentiation, Applications of derivatives and Maxima & Minima (14 Hrs)

References:

1. Shanti Narayan: Differential Calculus. S. Chand & Co. (1974)

*BCA 101 (A) - for those who have not studied Mathematics at PUC or qualifying level.

BCA 101 (B) - for those who have studied Mathematics at PUC or qualifying level.