Remedial Mathematics Book PDF Download for B.Pharm 1st Year

Remedial Mathematics Book PDF Download for B.Pharm 1st Year

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Book Name : Remedial Mathematics

Author Name :

Book 1 : Shahnaz Bathul

Book 2 : Sudhir Kumar Pundir

Course : B.Pharm 1st Year

Scope:

This is an introductory course in mathematics. This subject deals with the

introduction to Partial fraction, Logarithm, matrices and Determinant, Analytical

geometry, Calculus, differential equation and Laplace transform.

Objectives:

Uncompletion of the course the student shall be able to:- 

1. Know the theory and their application in Pharmacy

2. Solve the different types of problems by applying theory

3. Appreciate the important application of mathematics in Pharmacy

Course Content:

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 ( - 

n n definition) , lim

x a  na

n1

, lim

sin  1,

xa x  a 0 

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,Applicationof Matrices in solving

Pharmacokinetic equations

UNIT – III :Calculas

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

UNIT – IV : 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

UNIT-V : 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

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