JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Overview

Scope: This is an introductory course in mathematics. This subject deals with theintroduction 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

Matrices and Determinant: Introduction matrices, Types of matrices, Operation on matrices, Transpose of a matrix, Matrix Multiplication, Determinants, Properties of determinants, Product of determinants, Singular and non-singular matrices, Inverse of a matrix, Solution of system of linear of equations using Gauss Elimination method.

UNIT - II

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

UNIT - III

Calculus Limits and continuity: Introduction, Limit of a function, Definition of limit of a function Differentiation: Introductions, properties of derivatives, Finding derivative of a function usinf Standard Derivatives, 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. Related problem.

UNIT - IV

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

TEXT BOOKS

(Latest Edition)

• 1. Differential Calculus by Shanthinarayan
• 2. Intermediate telugu academy mathematics text book
• 3. Integral Calculus by Shanthinarayan
• 4. Higher Engineering Mathematics by Dr.B.S. Grewal
• 5. A Text Book of Remedial Mathematics by P seshagiri Rao, Pharmamed Press.