B Pharmacy Unit 4 Remedial Mathematics In Pharmacy 1st Semester

B.Pharm Unit 4, 1st Semester – Remedial Mathematics in Pharmacy notes cover Analytical Geometry and Integration, which are fundamental in pharmaceutical studies. Analytical Geometry is used to understand points, lines, and distances using coordinates, while Integration helps calculate total drug accumulation, area under concentration–time curves, and pharmacokinetic parameters.

Bachelor of Pharmacy
Semester		1st Semester		Subject		Remedial Mathematics
Syllabus
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

Signs of the Coordinates: Determines the position of points in the coordinate plane.

Distance Formula: Distance between points (x₁, y₁) and (x₂, y₂) = √[(x₂−x₁)² + (y₂−y₁)²]

Straight Line:

• Slope/Gradient of a line: m = (y₂ − y₁)/(x₂ − x₁)
• Conditions for parallel lines: m₁ = m₂
• Conditions for perpendicular lines: m₁·m₂ = −1
• Slope of a line joining two points: same as above
• Slope–intercept form: y = mx + c

Integration is a branch of calculus used to calculate total accumulation, areas, and pharmacokinetic parameters.

Integration is the inverse of differentiation. It helps determine the total amount from rates of change.

• Substitution method
• Integration by parts
• Integration by partial fractions
• Definite integrals with limits

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