### Mathematics II (URCM-5108)

Introduction:

To prepare the students, not majoring
in mathematics, with the essential tools of calculus to apply the concepts
and the techniques in their respective disciplines.

Course pre requisite:

Prerequisites for calculus include courses typically called Algebra |
(elementary algebra) and Algebra lI (intermediate algebra), elementary
geometry as well as an introductory analysis course usually called precalculus.

Learning Outcomes:

Basic learning  outcomes is provide an understanding of :

• Functions and their graphs
• Limit of a function
• Derivatives
• Integration
• Techniques of integration

Courese Contents:

• Preliminaries: Real-number line, functions and their graphs, solution of equations involving absolute values, inequalities.
• Limits and Continuity: Limit of a function, left-hand and right-hand limits,
• continuity, continuous functions. Derivatives and their Applications: Differentiable functions, differentiation of  polynomial,
• rational and transcendental functions, derivatives.
• Integration and Definite Integrals: Techniques of evaluating indefinite integrals, integration by substitution,
• integration by parts, change of variables in indefinite integrals.

Text Book:

1- Anton, H., Bevens, H. & Davis, S. (2005) Calculus, 8h edition, John Willeyy
Sons, Inc Stewart, J. (1995) Calculus (3rd edition) Brooks/Cole
2- swokowski, E.W. (1983) Calculus and Analytic Geometry, PWS-Kent
3- Company, Boston Thomas, G. B. & Finney, A. R. (2005) Calculus (11n

PPT/Handout:

Boston Thomas, G. B. & Finney, A. R. (2005) Calculus (11n

Assesment Criteria:

Assignments 5%

Quiz 5%

Class Attendence /Class Participation/Presentation 10%

Mid Term 30%

Final Term 50 %

Key Date and Time of Classes:

 Commencement of Classes January 13, 2020 Mid Term Examination March 09- 13, 2020 Final Term Examination May 04-08, 2020 Declaration of Result May 19, 2020