Imperfect Pharmacy
B. Pharmacy
Notes
1ST SEMESTER
REMEDIAL MATH
Unit 1
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 (∈ – δ
definition), lim x − a
= na
n−1
, lim s in θ
= 1,
x→a x − a θ →0 θ
OPEN UNIT 1
Unit 2
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.
OPEN UNIT 2
Unit 3
Calculus Differentiation : Introductions, Derivative of a function, Derivative of a
constant, Derivative of a product of a constant and a function , Derivative of the sum
or difference of two functions, Derivative of the product of two functions (product
formula), Derivative of the quotient of two functions (Quotient formula) – Without
Proof, Derivative of x
n w.r.tx, where n is any rational number, Derivative of e
x
Derivative of loge x , Derivative of a
x
, Derivative of trigonometric functions from
first principles (without Proof), Successive Differentiation, Conditions for a
function to be a maximum or a minimum at a point. Application.
OPEN UNIT 3
Unit 4
Analytical Geometry
Introduction: Signs of the Coordinates, Distance formula.
Straight Line: Slope or gradient of a straight line, Conditions for parallelism and
perpendicularity of two lines, Slope of a line joining two points, Slope – intercept
form of a straight line.
Integration: Introduction, Definition, Standard formulae, Rules of integration, Method
of substitution, Method of Partial fractions, Integration by parts, definite integrals,
application.
OPEN UNIT 4
Unit 5
Differential Equations: Some basic definitions, Order and degree, Equations in
separable form, Homogeneous equations, Linear Differential equations, Exact
equations, Application in solving Pharmacokinetic equations.
Laplace Transform: Introduction, Definition, Properties of Laplace transform,
Laplace Transforms of elementary functions, Inverse Laplace transforms, Laplace
transform of derivatives, Application to solve Linear differential equations, Application
in solving chemical kinetics and Pharmacokinetics equations.