Description

Functions (New Functions from Old –Composition of Functions – Families of Functions) –Trigonometric Functions -Inverse Functions – Inverse Trigonometric Functions–Exponential and Logarithmic Functions - Limits at Infinity; End Behavior of a Function–Tangent Lines and rate of change, The Derivative Function, Techniques of Differentiation, The product and quotient rules Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation– Derivatives of Logarithmic, Exponential and Inverse trigonometric Functions–Hyperbolic / Inverse Hyperbolic Functions and their Derivatives–Indeterminate Forms and L’Hopital’s Rule: Partial Differentiation–Taylor’s and Maclaurin’s expansions–Curve sketching: Critical, maximum, minimum and inflection points–Conic sections: Parabola.

Program

Software Engineering 132 CRs

Objectives

  • • Differentiate certain types of functions (trigonometric functions and their inverse, exponential function, and logarithmic function).
    • 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
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
8L’Hopital 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
15Review

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.

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