Basic Mathematics - I (MATH111)
Numbers, Number systems, exponents, sets, set operations, intervals, absolute value. Equations and inequalities; solving first degree equations in one variable, solving second degree equations in one variable, quadratic formula, inequalities and their solutions, absolute value relationship. Trigonometry; trigonometric functions, trigonometric identities. Function, domain and range, types of functions; linear, quadratic, polynomial functions, graphs of linear and quadratic functions. Analytic geometry in 2-space and 3-space: operations on points in 2-space and 3-space. Mid-point formula, distance formula, lines and their properties; parallel and perpendicular lines, slope, angle between two lines. Matrix algebra: Operations on matrices; addition, subtraction, transpose of matrices, scalar multiplication, determinants, cofactors, cofactor matricex, adjoint matrix, inverse matrix, elimination method, Cramer's rule.