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 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

Program

Multimedia and Graphics Program.

Objectives

1. Differentiate certain types of functions (trigonometric functions and their inverse, exponential function, and logarithmic function).
2. Understand and use the applications of differentiation (l’Hopital, Taylor and Maclaurin’s expansions).

Textbook

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

Course Content

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
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
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
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

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.

Degree Bachelor
Code: BA101
Credit hrs: 3
Prequisites: None

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Calculus I