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.

Additional :
[C]   Ryan, Mark. Calculus for dummies. 2003. Wiley Publishing Inc.

Post a Comment

Berkomentar sesuai dengan judul blog ini yah, berbagi ilmu, berbagi kebaikan, kunjungi juga otoriv tempat jual aksesoris motor dan mobil lengkap

Lebih baru Lebih lama