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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
1
1

2
3

4

5

General Competence

Main Topic/Submain Topic

2
3
The students understand the I. Anti Derivative
concept of indefinite integral as
Concept of anti derivative
an anti derivative
Concept of indefinite integral
The students understand the
The formulas of indefinite
formula of indefinite integral
integral
The students understand the II. Definite Integral
definite integral concept as a
1. Math Induction Principle
Riemann limit number
2. Definite integral as Riemann
limit number
The students understand the
3. Basic calculus first theorem
basic calculus theorem and can
4. Basic
calculus
second
use it in every technical counting
theorem
5. The
characteristics
of
definite integral further
The students understand the III.
Transcendent Function
logarithm concepts and exponent
Logarithm function and
with any properties and the
transcendent function

Time Estimate

Literary

4
3 x 50 minutes

5
1

3 x 50 minutes

1, 2, 3

3 x 50 minutes

1, 2, 3

3 x 50 minutes

1, 2, 3

3 x 50 minutes

1, 2, 3
graphics function
The students understand the Hiperbolic function and invers
hyperbolic function concepts
with any properties and the
graph function
The students understand the IV.
Integration techniques
7
integration techniques for any
1. Partial Integral
calculation
2. Integral Trigonometric
Functions
3. Integral by Replacing
Trigonometric Functions
The students understand the V. Indefinite Form and Improper
8
indefinite form and improper
Integral
integral for calculation
1. Indefinite Form
2. Improper Integral
The students understand the V. The Using of Definite Integral
9
using of integral in a big scope
1. The area
2. Volume
3. Center of Mass
Bibliography:
6

3 x 50 minutes

1, 2, 3

12 x 50 minutes

1, 2, 3

9 x 50 minutes

1, 2, 3

12 x 50 minutes

1, 2, 3

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

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Syllabus

  • 1. 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 1 1 2 3 4 5 General Competence Main Topic/Submain Topic 2 3 The students understand the I. Anti Derivative concept of indefinite integral as Concept of anti derivative an anti derivative Concept of indefinite integral The students understand the The formulas of indefinite formula of indefinite integral integral The students understand the II. Definite Integral definite integral concept as a 1. Math Induction Principle Riemann limit number 2. Definite integral as Riemann limit number The students understand the 3. Basic calculus first theorem basic calculus theorem and can 4. Basic calculus second use it in every technical counting theorem 5. The characteristics of definite integral further The students understand the III. Transcendent Function logarithm concepts and exponent Logarithm function and with any properties and the transcendent function Time Estimate Literary 4 3 x 50 minutes 5 1 3 x 50 minutes 1, 2, 3 3 x 50 minutes 1, 2, 3 3 x 50 minutes 1, 2, 3 3 x 50 minutes 1, 2, 3
  • 2. graphics function The students understand the Hiperbolic function and invers hyperbolic function concepts with any properties and the graph function The students understand the IV. Integration techniques 7 integration techniques for any 1. Partial Integral calculation 2. Integral Trigonometric Functions 3. Integral by Replacing Trigonometric Functions The students understand the V. Indefinite Form and Improper 8 indefinite form and improper Integral integral for calculation 1. Indefinite Form 2. Improper Integral The students understand the V. The Using of Definite Integral 9 using of integral in a big scope 1. The area 2. Volume 3. Center of Mass Bibliography: 6 3 x 50 minutes 1, 2, 3 12 x 50 minutes 1, 2, 3 9 x 50 minutes 1, 2, 3 12 x 50 minutes 1, 2, 3 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