Syllabus
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Course Code: B-MAT 101 Course Name: Calculus |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | - definition of limit and continuity of a real valued function, basic properties of limits, types of discontinuities. Differentiability of functions. Successive differentiation. Leibnitz theorem. Maclaurin and Taylor series expansions | |
| 2 | Tangents and normals (Cartesian and parametric equations). Asymptotes in Cartesian and polar coordinates, intersection of a curve and its asymptotes. Curvature and radius of curvature of curves in Cartesian, polar and parametric forms. Newton’s method. Radius of curvature for pedal curves. Centre of curvature. Circle of curvature. Evolutes and involutes. | |
| 3 | Tests for concavity and convexity. Points of inflexion. Multiple points. Cusps, nodes &
conjugate points. Reduction formulae. Rectification. |
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| 4 | Quadrature, Sectorial area. Area bounded by closed curves. Volumes and surfaces of solids of revolution. Theorems of Pappu’s and Guilden. | |
