Remedial Mathematics in B.Pharm 1st semester: Complete unit-wise notes covering Algebra, Trigonometry, Calculus, Analytical Geometry, Statistics & Probability. Simple, clear, and exam-oriented study material for pharmacy students.
Remedial Mathematics Overview
| Bachelor of Pharmacy | |||||||
| Semester | 1st Semester | Subject | Remedial Mathematics | ||||
| Syllabus | |||||||
| Unit 1st | 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, Limits and continuity : Introduction , Limit of a function, Definition of limit of a function | ||||||
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| Unit 2nd | 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 co-Factors, Adjoint or adjugate of a square matrix, Singular and non-singular 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, Application of Matrices in solving Pharmacokinetic equations | ||||||
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| Unit 3rd | 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 (without Proof), Successive Differentiation, Conditions for a function to be a maximum or a minimum at a point. Application | ||||||
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| Unit 4th | 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 | ||||||
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| Unit 5th | 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 | ||||||
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Unit Summary
Remedial Mathematics provides the mathematical foundation required for pharmaceutical sciences. It includes partial fractions, logarithms, functions, limits, and continuity, with applications in chemical kinetics and pharmacokinetics. The subject covers matrices and determinants, including matrix operations, inverse, eigenvalues, and solution of linear equations used in pharmacokinetic modeling. Calculus topics such as differentiation, integration, maxima and minima, and their applications are emphasized. Analytical geometry explains straight lines and coordinate systems. Differential equations and Laplace transforms are studied to solve problems related to drug kinetics and chemical reactions, making mathematics an essential tool in pharmaceutical analysis and research.
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