B.Pharmacy IY - R17 - Remedial Maths PDF
B.Pharmacy IY - R17 - Remedial Maths PDF
B.Pharmacy IY - R17 - Remedial Maths PDF
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.
Course Objectives: Upon completion of the course the student shall be able to:-
Know the theory and their application in Pharmacy
Solve the different types of problems by applying theory
Appreciate the important application of mathematics in Pharmacy
UNIT – I 06 Hours
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 ( -
xn an sin
1
definition) , lim nan , lim 1,
x a x a 0
UNIT- II 06 Hours
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
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UNIT – IV 06 Hours
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 06 Hours
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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