Remedial Mathematics


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Author: Pawan Kumar Sharma

The PCI B.Pharm First semester Remedial Mathematics book is a comprehensive guide for students pursuing a Bachelor of Pharmacy degree in India. The book covers the basic principles of mathematics, with an emphasis on calculus and algebra.

This book provides students with a strong foundation in the basic principles of mathematics, preparing them for further studies in the field of pharmacy and a career in the pharmaceutical industry. The book focuses on practical applications of mathematics in pharmacy, including pharmaceutical calculations and statistical analysis of data.

| As per approved syllabus of Pharmacy Council of India |

| Written by Experienced Authors |

| Fast & All India Delivery | 

ISBN No.: 978-93-87093-42-3

 B.Pharm., First Semester
According to the syllabus based on ‘Pharmacy Council of India’
Module-I                                                                                                                (6 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 (ε–δ definition) ,
lim x a [xn – an]/ [x – a] = nan-1, lim q→0 sin q / q = 1.
Module-II                                                                                                               (6 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,Applicationof Matrices in solving Pharmacokinetic equations.
Module-III                                                                                                             (6 Hours)
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 xn w.r.tx,where n is any rational number, Derivative of ex,, Derivative of logex , Derivative of ax,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.
Module-IV                                                                                                             (6 Hours)
Analytical Geometry Introduction: Signs of the Coordinates, Distance formula.
Straight Line: Slope or gradient of a straight line, Conditions for parallelism &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.
Module-V                                                                                                               (6 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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