Course

‘Remedial Mathematics – Theory’ is a course offered in the first year of Pharm. D. program at School of Pharmacy, Health Sciences campus, Amrita Vishwa Vidyapeetham.

Course Duration: 3 Hrs./Week

Scope:

This is an introductory course in mathematics. This subjects deals with the introduction to matrices, determinants, trigonometry, analytical geometry, differential calculus, integral calculus, differential equations, laplace transform.

Objectives:

Upon completion of the course the student shall be able to:

1. Know Trignometry, Analytical geometry, Matrices, Determinant, Integration, Differential equation, La- place transform and their applications;
2. Solve the problems of different types by applying theory; and
3. Appreciate the important applications of mathematics in pharmacy.

Text books

1. Differential calculus By Shantinarayan
2. Text book of Mathematics for second year pre-university by Prof.B.M.Sreenivas

Reference books

1. Integral calculus By Shanthinarayan
2. Engineering mathematics By B.S.Grewal
3. Trigonometry Part-I By S.L.Loney

Topics

1. Algebra: Determinants, Matrices
2. Trigonometry: Sides and angles of a triangle, solution of triangles
3. Analytical Geometry: Points, Straight line, circle, parabola
4. Differential calculus: Limit of a function, Differential calculus, Differentiation of a sum, Product, Quo- tient Composite, Parametric, exponential, trigonometric and Logarithmic function. Successive differen- tiation, Leibnitz’s theorem, Partial differentiation, Euler’s theorem on homogeneous functions of two variables
5. Integral Calculus: Definite integrals, integration by substitution and by parts, Properties of definite integrals.
6. Differential equations: Definition, order, degree, variable separable, homogeneous, Linear, heteroge- neous, linear, differential equation with constant coefficient, simultaneous linear equation of second order.
7. Laplace transform: Definition, Laplace transform of elementary functions, Properties of linearity and shifting.