Course: B Pharmacy Semester: 1st / 1st Year 

Name of the Subject REMEDIAL MATHEMATICS THEORY 

Subject Code: BP106 RMT 

S. No 
Contents of the Topics 
Learning Objectives 
Teaching Guidelines 
Methodology 
Assessment Tools 
Time Allocated 

1  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 Introduction, Definition, Theorems/Properties of logarithms, Common logarithms, Characteristic and Mantissa, worked examples, application of logarithm to solve pharmaceutical problems. Function:

Able to solve Partial fraction and its , Application in Chemical Kinetics and Pharmacokinetics.  Partial fraction
Logarithm
Function
Limits and continuity 
Power point presentations Problem Based Learning Student seminar Teacher Seminar 
Continuous mode, Sessional & End Semester examinations, MCQ’s and Objective type questions, Class Test Class Assignments 
6  
2  Matrices and Determinant:
Introduction matrices, Types of matrices, Operation on matrices, Transpose of a matrix, Matrix Multiplication, Determinants, Properties of determinants , Product of determinants, Minors and coFactors, Adjoint or adjugate of a square matrix , Singular and nonsingular matrices, Inverse of a matrix, Solution of system of linear of equations using matrix method, Cramer’s rule, Characteristic equation and roots of a square matrix, Cayley–Hamilton theorem,Applicationof Matrices in solving Pharmacokinetic equations 
Matrices and Determinant  Power point presentations Problem Based Learning Student seminar Teacher Seminar 
Continuous mode, Sessional & End Semester examinations, MCQ’s and Objective type questions, Class Test Class Assignments 
6  
3  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 xn w.r.tx,where n is any rational number, Derivative of ex,, Derivative of loge x , Derivative of ax,Derivative of trigonometric functions from first principles(withoutProof), Successive Differentiation, Conditions for a function to be a maximum or a minimum at a point. Application 
Calculus  Power point presentations Problem Based Learning Student seminar Teacher Seminar 
Continuous mode, Sessional & End Semester examinations, MCQ’s and Objective type questions, Class Test Class Assignments 
6  
4  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 
Analytical Geometry  Power point presentations Problem Based Learning Student seminar Teacher Seminar 
Continuous mode, Sessional & End Semester examinations, MCQ’s and Objective type questions, Class Test Class Assignments 
6  
5  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 
Definition, properties , applications of Laplace transform  Power point presentations Problem Based Learning Student seminar Teacher Seminar 
Continuous mode, Sessional & End Semester examinations, MCQ’s and Objective type questions, Class Test Class Assignments 
6
