Calculus I

Course Objectives

The aims of this course:

  • To formulate derivatives of algebraic and transcendental functions using the power, product, quotient, and chain rules.
  • To provide students with an understanding of limits, derivatives and integrals of functions of one variable and their calculations.
  • To apply the derivative, to calculate rates of change and solve applied optimization problems.
  • To understand the concept of indefinite integral as anti-derivative and know standard indefinite integrals and basic rules of indefinite integration.
  • To apply integration to compute arc lengths, volumes of revolution and surface areas of revolution.
  • To determine derivatives using implicit differentiation and use to study characteristics of a curve.

Learning Objectives

The successful completion of this course, Student will be able:

  • To knows the concepts of limits and continuity of functions of a single variable and performs related calculations.
  • To knows the concept of derivative and some of its applications and performs related calculations.
  • To knows the concepts of definite, indefinite and improper integrals and some of their applications and performs related calculations.

Reference Materials

Reference Book's Photo Reference Book's Materials
THOMAS’ CALCULUS
(FOURTEENTH EDITION IN SI UNITS) Volume 1
• GEORGE B.THOMAS,JR.
• JOEL HASS
• CHRISTOPHER HEIL
• MAURICE D. WEIR
• JOSE LUIS ZULETA ESTRUGO

Assessment Plan

Assessment Plan for the Course
Paper Exam 60%
Tutorial 20%
Assignment 20%