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
n1
, lim
sin 1,
xa 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
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
