B.sc (Calculus with Analytic Geometry by Sm Yousaf)

• Rational numbers, Irrational numbers, Real numbers, Complex numbers
• Properties of real numbers, Order properties of $R$
• Absolute value or modulus, of a $R$
• The completeness property of $R$
• Upper bound, lower bound
• Real line, Interval
• Working rule for the solution of inequality
• Binary relation (B.R), Domain of B.R, Range of B.R
• Function, Onto or surjective function, (1-1) Function, Bijective Function
• Real-valued function, Image of a function, Bracket function

• Finite limit at a finite point
• Left-hand limit
• Right-hand limit

• Continuity

Distance between two points

line segment in a given ratio

• Direction angles of a vector
• Angle between the straight line
• Distance of a point from a line

solution