REMEDIAL MATHEMATICS SYLLABUS FOR I YEAR B.PHARMACY STUDENTS FOR THE YEAR 2009-10

REMEDIAL MATHEMATICS SYLLABUS
FOR I YEAR B.PHARMACY STUDENTS
FOR THE YEAR 2009-10

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3+1 6


JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY
ANANTAPUR.

REMEDIAL MATHEMATICS SYLLABUS.

UNIT I
Algebra:
Arithmetic Progression Geometric Progression Binomial theorem partial fractions. Permutations & combinations. Matrices: basic matrix operations. Determinants Application of determinants to solve simultaneous equations (Cramer's Rule and Cali-Hamilton’s theorem).


UNIT II
Trigonometry: Trigonometric ratios and the relations between Sin (A+B), Cos (A+B), Tan (A+B) formulae only. Trigonometric ratios of multiple and sub-multiples, angles, heights and distances (simple problems), complex numbers and Demoivre’s theorem.

UNIT III
Co ordinate Geometry: Distances between points, Area of a triangle, Co ordinates of a point dividing a given line segment in a given ratio. Locus equation to a straight line in different forms. Angle between straight lines point of intersection, circles and conic sections.

UNIT IV
Differential Calculus: Continuity and limit: Differentiation, derivability and derivative, R.H. derivatives and L.H. derivatives, Differentiation, General theorems of derivatives.


UNIT V
Derivatives of trigonometric functions (excluding inverse trigonometric and hyperbolic functions). Logarithmic differentiation, partial differentiation, maxima and minima (elementary) and successive differentiation up to second order.

UNIT VI
Integral Calculus: Integration as an inverse process of differentiation. Definite integrals, integration by substitution, integration by parts, integration of algebraic function of ex, evaluation of areas and volumes in simple cases.

UNIT VII
Differential equations: Formation of a differential equation, order and degree, solution of first order differential equations.

UNIT VIII
Applications of first order and first degree differential equation- law of Natural growth and decay. Newton’s Law of cooling. Definition of Linear differential equations for Homogenous, non homogenous, second and higher order equations.

TEXT BOOKS

1.Intermediate first Year mathematics and Intermediate Second year mathematics., published by Telugu Academy, Himayatnagar, Hyderabad

2.Remedial mathematics by Khan, S.chand


REFERENCES
3.A Text book of Remedial Mathematics by P.Seshagiri Rao.
4.Higher Engineering Mathematics by Grewal.
5.B.Pharmaceutical mathematics vol-I,vol-II –Laxmi publications
6.Text book of Remedial Mathematics by Dr. A Ramakrishna Prasad Cengage Learinng.