Course Description:
Functions, limits and continuity, derivatives, applications of derivatives, integration, applications of integration
Aims
• To understand the concept of function and the basic properties of trigonometric functions.
• To understand the limit of a function and to learn how to find it algebraically.
• To understand the definition of derivative and its geometric interpretation.
• To learn the rules of differentiation.
• To learn how to use derivatives to find the extreme values of functions and to graph them.
• To understand the concept of definite and indefinite integrals and how to evaluate some simple integrals.
• To learn how to use integrals to find the area between two curves, volumes , surface area, and length of
curves.
Methods of Teaching By lectures, discussions, and solving selected problems.