# Calculus 1

• Computing & Information Technology |
• English

#### Description

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, lâ€™Hopital rule, partial Differentiation, Taylor and Maclaurinâ€™s expansions, complex numbers and conic sections.

#### Program

Multimedia and Graphics Program.

#### Objectives

• 1. Differentiate certain types of s (trigonometric s and their inverse, exponential , and logarithmic ).
2. Understand and use the applications of differentiation (lâ€™Hopital, Taylor and Maclaurinâ€™s expansions).

#### Textbook

Sherman K.Stein, Anthony Barcellos, Calculus & Analytic Geometry, McGraw-Hill Higher Education.

#### Course Content

content serial Description
1Basic rules of differentiation.
2Trigonometric function and their derivatives
3Inverse of trigonometric and their derivatives
4Logarithmic function and their derivatives
5Exponential function and their derivatives
6Derivatives of hyperbolic functions and their inverse
7Parametric differentiation, Implicit differentiation and 7th week exam
8L’Hospital rule
9Partial Differentiation
10Taylor’s and Maclaurin’s expansions
11Physical application
12Curve sketching (Critical, maximum, minimum and inflection points)
13Curve sketching (rational functions)
14Conic sections
15General revision
16Final Examination
1Basic rules of differentiation.
2Trigonometric function and their derivatives
3Inverse of trigonometric and their derivatives
4Logarithmic function and their derivatives
5Exponential function and their derivatives
6Derivatives of hyperbolic functions and their inverse
7Parametric differentiation, Implicit differentiation and 7th week exam
8L’Hospital rule
9Partial Differentiation
10Taylor’s and Maclaurin’s expansions
11Physical application
12Curve sketching (Critical, maximum, minimum and inflection points)
13Curve sketching (rational functions)
14Conic sections
15General revision
16Final Examination
1Basic rules of differentiation.
2Trigonometric function and their derivatives
3Inverse of trigonometric and their derivatives
4Logarithmic function and their derivatives
5Exponential function and their derivatives
6Derivatives of hyperbolic functions and their inverse
7Parametric differentiation, Implicit differentiation and 7th week exam
8L’Hospital rule
9Partial Differentiation
10Taylor’s and Maclaurin’s expansions
11Physical application
12Curve sketching (Critical, maximum, minimum and inflection points)
13Curve sketching (rational functions)
14Conic sections
15General revision
16Final Examination
1Basic rules of differentiation.
2Trigonometric function and their derivatives
3Inverse of trigonometric and their derivatives
4Logarithmic function and their derivatives
5Exponential function and their derivatives
6Derivatives of hyperbolic functions and their inverse
7Parametric differentiation, Implicit differentiation and 7th week exam
8L’Hospital rule
9Partial Differentiation
10Taylor’s and Maclaurin’s expansions
11Physical application
12Curve sketching (Critical, maximum, minimum and inflection points)
13Curve sketching (rational functions)
14Conic sections
15General revision
16Final Examination

#### Markets and Career

• Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
• Electrical power feeding for civil and military marine and aviation utilities.
• Electrical works in construction engineering.