Course: B Pharmacy Semester: 1^{st} / 1^{st} Year  
Name of the Subject REMEDIAL MATHEMATICS THEORY  
Subject Code: BP106 RMT  
Units  Topics (Experiments)  Domain  Hours  
1
1.1
1.2
1.3 
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,

Desirable Must know Must know
Must know Must know Must know Must know Must know Must know Must know 
6  
2  Matrices and Determinant:
Pharmacokinetic equations 
Nice to know 
6  
3
3.1

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 x^{n} w.r.tx,where n is any rational number, Derivative of e^{x},, Derivative of log_{e} x , Derivative of a^{x}_{,}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

6  
4
4.1
4.2
4.3 
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

Must know
Desirable
Must know Must know Must know

6  
5
5.1 5.2
5.3 
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 
Must know
Must know
Must know
Must know

6 