Course Contents

Unit 1: Real number system: 1.1 absolute values 1.2 Inequalities, functions 1.3 graphing of some basic functions 1.4 basic concept of limits Unit 2: Continuity: 2.1 Continuity of combination of functions 2.2 Properties of continuous functions Unit 3: Derivatives of Algebraic: 3.1 Trigonometric and Transcendental functions 3.2 Implicit differentiation 3.3 Differentials 3.4 Related rates 3.5 Extreme Values 3.6 Concavity Unit 4: Statements of Rolle’s Theorm: 4.1 Mean value theorem 4.2 Increasing and decreasing functions 4.3 Indeterminate forms 4.4 L’ Hospital rule Unit 5: Ant derivatives: 5.1 Definite and Indefinite integrals 5.2 Definite integral as limit of sum 5.3 Fundamental theorem of Integral Calculus 5.4 Properties of Definite Integral 5.5 Improper Integrals

Course Synopsis

The students must have sound concept of functions, limit and continuity, differentiation and integration.

Course Learning Outcomes

After completion of this course, the students will be able to:  Explain the basic concepts of Functions, and real number systems.  This course includes all necessary contents, which are required in the different subjects, e.g. Physics, Chemistry, Economics, Statistics, at master and higher level.