MATH141:
Differential Calculus and Coordinate Geometry 3 Credit Hour Course Intended For Level 1 Term 1 Students Prerequisite: None Differential Calculus: Limits, continuity and differentiability; Successive differentiation of various types of functions; Leibnizâ€™s Theorem; Rolleâ€™s Theorem; Mean value Theorem in finite and infinite forms; Lagrangeâ€™s form of remainders; Cauchyâ€™s form of remainder; Expansion of functions; Evaluation of indeterminate forms by Lâ€™Hospitalâ€™s rule; Partial differentiation; Eulerâ€™s Theorem; Tangent and Normal, Subtangent and subnormal in cartesian and polar coordinates; Maximum and minimum values of functions of single variable; Points of inflexion; Curvature, radius of curvature, center of curvature; Asymptotes, curve tracing.


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