Theory Introduction, basic probability theory, definition, laws of probability, conditional probability, independent and dependent events, applications. Unit No. 2Random Variables Introduction, Random numbers and their generation, Application of random numbers, concepts of random variables and their construction, Discrete and continuous random variables. Unit No. 3Equations Solving fist degree equations, Quadratic equations, Solution of quadratic equations by different methods, inequalities, absolute value, Co-ordinate system
Unit No. 4Linear Equations Characteristic of linear equations, Slope- intercept form, determining the equations, Applications. Unit No. 5Matrices and Determinants Matrices, Different kinds of Matrices, Addition, Subtraction and Multiplication of matrices, Determinants, Application of matrices and determinants.
Unit No. 6Inverse of Matrices Expansion of determinants, different Properties of determinants, Cofactors and minors of elements of a matrix, Cramer’s rule, Solution of system of linear equations by use of matrices. Unit No. Differentiation Derivatives, Differentiation of explicit and implicit functions, maxima and minima, Applications of derivatives. Unit No. 8Partial Derivatives Partial Derivatives, maxima and minima for functions of multi-variables Applications of partial derivatives.
Unit No. 9Optimization First derivative test. 2nd Derivative test, Curve sketching, Revenue, Cost and profit applications in business. Recommended Book:- 1. Applied mathematics for Business, Economics and the Social Sciences. By Frank S. Budnick. Mcgraw-Hill