UNIT - I Partial fraction : Introduction, Polynomial ,Rational fractions, Proper and Improper fractions, Partial fraction, Resolving into Partial fraction, Application of Partial Fraction in Chemical Kinetics and Pharmacokinetics. Logarithms : Introduction, Definition, Theorems/Properties of logarithms, Common logarithms, Characteristic and Mantissa, worked examples, application of logarithm to solve pharmaceutical problems. Function : Real Valued function, Classification of real valued functions, Limits and continuity : Introduction, Limit of a function, Definition of limit of a function ( - definition), limxa xn – anx – a = n an – 1, lim0 sin = 1 (Chapter - 1) UNIT - II Matrices and Determinant : Introduction matrices, Types of matrices, Operation on matrices, Transpose of a matrix, Matrix Multiplication, Determinants, Properties of determinants, Product of determinants, Minors and co-factors, Adjoint or adjugate of a square matrix, Singular and non-singular matrices, Inverse of a matrix, Solution of system of linear of equations using matrix method, Cramer’s rule, Characteristic equation and roots of a square matrix, Cayley–Hamilton theorem, Application of matrices in solving pharmacokinetic equations. (Chapter - 2) UNIT - III Calculus UNIT - IV Analytical Geometry UNIT-V Differential Equations Laplace Transform
