Remedial Mathematics Book B.Pharm 1st Semester

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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’

Syllabus

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] = na^n-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 e^x,, Derivative of log_ex , 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.

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.

Reference PCI2017/Bpharm/01/7

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