# Syllabus | REMEDIAL MATHEMATICS THEORY | B. Pharmacy

Course:  B Pharmacy          Semester: 1st   / 1st Year
Name of the Subject           REMEDIAL MATHEMATICS THEORY
Subject Code: BP106 RMT
Units Topics (Experiments) Domain Hours
1

1.1

1.2

1.3

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 ( –  definition) , lim x n   a n  nan1 , lim sin  1, xa x  a  0 

Desirable Must know Must know

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6
2 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

Nice to know

6
3

3.1

Calculus

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 loge x , 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

6
4

4.1

4.2

4.3

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

Must know

Desirable

Must know

Must know

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6
5

5.1

5.2

5.3

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

Must know

Must know

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6