JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

BS101: REMEDIAL MATHEMATICS

B.Pharmacy I Year I Semester (R16)

Course Objectives

This is an introductory course in mathematics, the subject deals with

introduction to algebra, trigonometry, differential calculus, integral calculus etc.

Course Outcome

The student will learn the basics of mathematics which will be helpful in

pharmaceutical calculation in the higher classes

UNIT - I

Algebra: Permutations and combinations - Binomial theorem –Partial fractions (addition, subtraction and multiplication) –Matrices –Determinants -Application of determinants to solve simultaneous equations (Cramer's Rule).

UNIT - II

Trigonometry: measurement of angles, trigonometry functions, compound angles, trigonometry ratios of multiple angles (sin 2θ, cos 2θ, tan 2 θ), Heights and distances (All simple problems only). Co-ordinate Geometry: Distances between two points, Area of a triangle, division of line segment, locus.

UNIT - III

Differential Calculus: Continuity and limit: Differentiation, derivative of product, derivative of function, derivation of a fraction of functions Derivatives of trigonometric functions (excluding inverse trigonometric and hyperbolic functions). Derivatives of Logarithmic and exponential functional, partial dedifferentiation, maxima and minima (all simple problems)

UNIT - IV

Integral Calculus: integration of algebraic and exponential functions, Integration of trigonometric functions, integration by parts, integration by the method of substitution, definite integrals, areas and curves (all simple problems)

UNIT - V

Differential Equations: Formation of a differential equation, equation of 1st order and 1st degree, Homogenous, exact differential equation

Text Books

  • 1) Intermediate first Year mathematics and Intermediate Second year mathematics, printed and published by Telugu Academy, Himayath nagar, Hyderabad
  • 2) Remedial Mathematics by Shahnaz Bathul
  • 3) Text book of Pharmaceutical Mathematics with Application to Pharmacy-Panchaksharappa Gowda. D. H.

References

  • 1) Pharmaceutical Arithmetic’s by Mohd. Ali CBS publishers and distributor, New Delhi.
  • 2) Higher Engineering Mathematics by Grewal.

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