Faculty                                 : Mathematics and Natural Science
Study Program                     : International Programme for Science Education
Course/Code                       : Calculus of Integral/MAA 307
Credit                                 : Teory = 3 (three) SKS Semester                             : 3 (three) Prerequisite/Code                : -
Professor                             : Nikenasih Binatari, M.Si

### I. Course Description

This course study about definite and indefinite integral, fundamental theorem of integral, the application of definite integral, transendent function, integration technique, indefinite form and improper integral.

### II. Standard of Competence

Upon completing this course, students should understand the general theory of integral calculus and the basic techniques for solving calculus of integrals. At this end of this course, students should understand which theory and method of calculus of integral may be applied to solve numerous problems, be able to solve it and interpret the solution in the origin problems.

### III. Activity Plan

 Meeting Basic Competence Essential Concept Learning Strategies Referencee Character 1st week Students  know  the  motivation to study integral calculus and its connection with differential calculus Sillaby, motivation and differentiation rules Discussion, Exercise [A], [C] Curiousity 2nd week Sigma Notation å n, ån 2 , ån3 Lecturing, Discussion, Exercise [A], [B] Understand 3rd week Students understand the idea to determine the approximation of several problems Area under a curve Lecturing, Exercise [A], [B],[C] Understand, 4th week Volume of a solid of revolution Lecturing, Discussion, Exercise, [A], [B],[C] Understand 5th week Arc Length Lecturing, Discussion, Exercise, [B], [A] Understand 6th week Surface area of a solid of revolution Lecturing, Discussion, Exercise, [B] Understand 7th week Work and Momen of Inersia Lecturing, Discussion, Exercise, [B] Understand 8th week Students  understand  the  basic theory of integral calculus Definition   of   Antiderivative,   its rules, its linearity properties. Lecturing, Discussion, Exercise, [A], [B] Understand, Reasonable 9th week Riemann Sum, Definition of definite integral,      Computing      definite integral Lecturing, Discussion, Exercise, [A], [B] Understand, reasonable 10th week Fundamental Theorem of Calculus, Properties of Definite Integral Lecturing, Discussion, Exercise, [A], [B] Understand, reasonable 11st week Students   able   to   solve   the problems    before    using    the theory of integral The   application   of   integral   on counting the area under a curve, volume of a solid of revolution, etc Lecturing, Discussion, Exercise, [A], [B] Understand, Applicative
 12nd week Midterm Exam and 13rd week Students understand several method to solve integration problems. Substitution   method,   rasionalize subtitution method Lecturing, Discussion, Exercise, [A], [B] Understand, Creative 14th week Partial Method Lecturing, Discussion, Exercise, [A], [B] Understand, Creative 15th week Integral of rasional function Lecturing, Discussion, Exercise, [A], [B] Understand, Creative 16th week Integral    of    indefinite    function, Improper Integral Lecturing, Discussion, Exercise, [A], [B] Understand, Creative

### IV. Reference

Compulsory :
[A]   Passow, Eli, Ph.D. Schaum’s Outline of Theory and Problems of Understanding Calculus Concepts. 1996. McGraw-Hill Companies. USA.
[B]   Varberg, Dale. Purcell, Edwin J. Calculus. 2001.