B.Pharm Unit 1 Remedial Mathematics in Pharmacy short notes covering partial fractions, logarithms, and real-valued functions with pharmaceutical applications for exam preparation.
Remedial Mathematics Unit 1 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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Partial Fractions
Partial fraction is a method of breaking a rational fraction into simpler fractions. A polynomial is an algebraic expression with variables and constants, while a rational fraction is a ratio of two polynomials. Rational fractions are classified as proper (degree of numerator < denominator) and improper (degree of numerator ≥ denominator). Resolving into partial fractions involves factorizing the denominator and expressing the fraction as a sum of simpler terms. Partial fractions are widely applied in chemical kinetics for integrating rate equations and in pharmacokinetics to solve drug absorption and elimination equations.
Logarithms
Logarithms simplify complex mathematical calculations. If aˣ = b, then logₐ b = x. Important laws include log(ab) = log a + log b and log(a/b) = log a − log b. Common logarithms have base 10 and consist of two parts: characteristic (integer part) and mantissa (decimal part). Logarithms are used in pharmacy for pH calculations, drug stability analysis, and reaction rate studies.
Functions
A real valued function assigns a real value to every real input. Real-valued functions are classified into polynomial, rational, exponential, logarithmic, and trigonometric functions. In pharmacy, functions are used to represent dose–response relationships, drug concentration–time profiles, and pharmacokinetic models.
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