This course provides basic rules of Differentiation – Trigonometric functions and their derivatives – Inverse trigonometric functions and their derivatives – Logarithmic function and its derivative. Logarithmic function and its derivative – Derivatives of hyperbolic and inverse hyperbolic functions – Parametric differentiation, Implicit differentiation – Limits and L’Hopital rule –Partial Differentiation – Taylor’s and Maclaurin’s expansions – Curve sketching: Critical, maximum, minimum and inflection points – Curve sketching (rational functions) and physical application (velocity and acceleration) – Conic sections: Parabola, Ellipse and Hyperbola
IS -144 CRs
Sherman K.Stein, Anthony Barcellos, Calculus & Analytic Geometry, McGraw-Hill Higher Education
| content serial | Description |
|---|---|
| 1 | Basic rules of differentiation |
| 2 | Trigonometric function and their derivatives |
| 3 | Inverse of trigonometric and their derivatives |
| 4 | Logarithmic function and their derivatives |
| 5 | Exponential function and their derivatives |
| 6 | Derivatives of hyperbolic functions and their inverse |
| 7 | Parametric differentiation, Implicit differentiation and 7th week exam |
| 8 | L’Hopital rule |
| 9 | Partial Differentiation |
| 10 | Taylor’s and Maclaurin’s expansions |
| 11 | Physical application |
| 12 | Curve sketching (Critical, maximum, minimum and inflection points) |
| 13 | Curve sketching (rational functions) |
| 14 | Conic sections |
| 15 | General revision |
| 16 | Final Examination |
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