BP106RMT. REMEDIAL MATHEMATICS Books : PharmaLite.in

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BP106RMT. REMEDIAL MATHEMATICS Books


All books are given below after syllabus

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 (∈ - δ   

definition), lim  x  −a    n           = na  n                                                             n−1  ,      lim  s in θ  = 1,     

                  x→a     x − a                      θ →0      θ   

 

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, Application of Matrices in solving Pharmacokinetic equations. 


Unit-III 

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. 


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.




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