- Degree Bachelor
- Code: BA101
- Credit hrs: 3
- Prequisites: None
This course provides basic rules of differentiation, trigonometric and their derivatives, inverse of trigonometric and their derivatives, logarithmic and their derivatives, exponential and their derivatives, derivatives of hyperbolic s and their inverse, parametric differentiation and implicit differentiation. Application of differentiation: the nth derivatives, l’Hopital rule, partial Differentiation, Taylor and Maclaurin’s expansions, complex numbers and conic sections.
Multimedia and Graphics Program.
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’Hospital 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 |
| 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’Hospital 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 |
| 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’Hospital 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 |
| 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’Hospital 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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