GBPP

(Garis-garis Besar Pedoman Pembelajaran)

Subject/Code/Course : Calculus II/PMT 203/3 Course

Subject’s Description : This subject learns about indefinite integral, definite integral, transcendent function, integration

techniques, improper integral, and application of integral.

Purpose : After learning this subject, the freshmen will understand about the basic concepts of calculus, especially

for the function of calculus one variable

No General Competence Main Topic/Submain Topic Time Estimate Literary

1 2 3 4 5

1 The students understand the

concept of indefinite integral as

an anti derivative

I. Anti Derivative

Concept of anti derivative

Concept of indefinite integral

3 x 50 minutes 1

2 The students understand the

formula of indefinite integral

The formulas of indefinite

integral

3 x 50 minutes 1, 2, 3

3 The students understand the

definite integral concept as a

Riemann limit number

II. Definite Integral

1. Math Induction Principle

2. Definite integral as Riemann

limit number

3 x 50 minutes 1, 2, 3

4 The students understand the

basic calculus theorem and can

use it in every technical counting

3. Basic calculus first theorem

4. Basic calculus second

theorem

5. The characteristics of

definite integral further

3 x 50 minutes 1, 2, 3

5 The students understand the

logarithm concepts and exponent

with any properties and the

III. Transcendent Function

Logarithm function and

transcendent function

3 x 50 minutes 1, 2, 3

graphics function

6 The students understand the

hyperbolic function concepts

with any properties and the

graph function

Hiperbolic function and invers 3 x 50 minutes 1, 2, 3

7 The students understand the

integration techniques for any

calculation

IV. Integration techniques

1. Partial Integral

2. Integral Trigonometric

Functions

3. Integral by Replacing

Trigonometric Functions

12 x 50 minutes 1, 2, 3

8 The students understand the

indefinite form and improper

integral for calculation

V. Indefinite Form and Improper

Integral

1. Indefinite Form

2. Improper Integral

9 x 50 minutes 1, 2, 3

9 The students understand the

using of integral in a big scope

V. The Using of Definite Integral

1. The area

2. Volume

3. Center of Mass

12 x 50 minutes 1, 2, 3

Bibliography:

1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta

2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

3. Wardiman, Hitung Integral, UGM, Jogyakarta

Pekanbaru, 1 April 2008

Team