# Calculus 1

• College Of Computing & Information Technology |

#### Description

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 it's derivative – Derivatives of hyperbolic and inverse hyperbolic functions – Parametric differentiation, Implicit differentiation – Limits and L’Hospital 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

#### Program

Software Engineering bachelor`s degree Program

#### Objectives

• - Differentiate certain types of functions (trigonometric functions and their inverse, exponential function, and logarithmic function).
- Understand and use the applications of differentiation (lHopital, Taylor and Maclaurins 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
8LHospital rule
9Partial Differentiation
10Taylor and Maclaurin expansions
11Physical application
12Curve sketching (Critical, maximum, minimum and inflection points)
13Curve sketching (rational functions)
14Conic sections
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
8LHospital rule
9Partial Differentiation
10Taylor and Maclaurin expansions
11Physical application
12Curve sketching (Critical, maximum, minimum and inflection points)
13Curve sketching (rational functions)
14Conic sections

#### 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.