MAT1201 CALCULUS II

This is an introductory pure mathematics course in calculus that is divided into the topics such as Integral Calculus, Techniques of Integration, Applications of Definite Integrals
Improper Integrals, Cartesian and Polar coordinates, as well as Parametric equations and applications.

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
At the end of the course, students will be able:

• 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.