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Department of Mathmatics
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Department of Mathmatics

Calculus (1)

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calculus

 

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Course Objectives:

  • Highlights the importance of differentiation and integration for science and engineering and understanding the relationship between them.
  • Presentation of the basic rules of differentiation and integration and their applications.
  • Accustom the student to logical reasoning and acquire the skills needed to solve the issues.

Course Contents

  • Real numbers, Exponents and Radicals, Polynomials: Basic Operations and Factoring.  Solving Equations, Rational Expressions: Basic Operations, Inequalities,   Absolute Values.
  • Definition of Functions (Domain and Range), Graphs of Functions, Operations on Functions, Trigonometric Functions and Identities
  • Introduction to Limits, Theorems on limits, Limit from Right and from Left, Definition of Continuity                                         
  • Definition of Derivative (Using Limits), Rules and Theorems for Finding Derivatives, Derivative of Trigonometric Functions, Chain Rule, Higher Order Derivatives, Implicit Differentiation
  • Maxima and Minimum, Monotonicity, Local Maxima and Minima, Concavity, Sketching the Graphs    
  •  Integration of Functions,   Definite Integrals.
 

 

Last Modified Date: 2019/01/08 - 9:33 ص Saudi Arabia Time