MAT1201: Calculus II (Pre-requisite)

This is an introductory pure mathematics course in calculus that is divided into the following topics: Integral Calculus; Techniques of integration; Application of Definite integrals; Improper integrals; as well as Cartesian and Polar coordinates.

Course Objectives 
On successful completion of this course unit, the learners should be able to: 

• Recognize elementary anti derivatives
• Calculate definite and indefinite integrates by finding elementary anti derivative.
• Apply the techniques of integration to finding areas, volumes, arc length, average value, and area of surface of revolution. 
• Demonstrate an understanding of Rolle’s Theorem, Mean value theorem and fundamental theorem of calculus. 
• Define parabolas, an ellipse and hyperbola and derive their standard equations. 
• Demonstrate an understanding of the basic knowledge of parametric equations and its applications 
• Identify scalar and vector fields 
• Demonstrate their knowledge of vectors to differentiation and integration of vector valued function 

Expected Learning Outcome
This course unit is meant: 

• To discuss the basic competence in the concepts, principles, and procedures of coordinate systems, parametric equations, and vector calculus with application to general theory of geometric differentiation. 
• To encourage orderliness, speed and accuracy in the presentation of mathematics. 
• Build a strong foundation in calculus for single variable functions as preparation for subsequent courses in mathematics and other sciences. 
• To provide instruction that contributes to the learners’ abilities to think critically and solve real life problems, to reason mathematically and apply computational skills. 
• To build a strong foundation in mathematical analysis as preparation for subsequent courses in pure mathematics and other sciences at advanced level.