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SATUAN ACARA PEMBELAJARAN (SAP)
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 150 minutes

A.
B.
C.
D.
E.

: Students can understand the concept of indefinite integral as an anti derivative
: Students can determine the indefinite integral by using the formula of integral
: Indefinite Integral
: The concept of anti derivative and indefinite integral

General Competence
Specific Competence
Subject
Sub Subject
Learning Activities

Phase
Foreword

Presentation

Learning Activities
Lecturer explains the specific competence, remind the material of derivative which
has been learned in Calculus I
Lecturer gives the definition of diferential and the illustration

Media and Learning Tool

Laptop
Infocus
White board

Covering

Lecturer and the students make the summary of the material that has been learned.
Then, lecturer gives the structured tasks such exercise and independent task

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta
SATUAN ACARA PEMBELAJARAN (SAP) II
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 3 x 50 minutes

A. General Competence
B. Specific Competence

: Students can understand the concept of indefinite integral which obtained from derivative formula
: Students can determine the indefinite integral by using derivative formula that obtained from many
derivative formulas, integral method with replacement
: Indefinite Integral
: The formulas of indefinite integral

C. Subject
D. Sub Subject
E. Learning Activities
Phase

Foreword

Learning Activities

Lecturer presents the specific competence and material benefits

Media and Learning Tool

Laptop
Infocus
White board

Presentation

Lecturer and the students discuss the different ways of calculate the indefinite
integral

Covering

Lecturer and the students make the summary from the materials that have been
learned

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta
SATUAN ACARA PEMBELAJARAN (SAP) III
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 3 x 50 minutes

A.
B.
C.
D.

: Students can apply the Riemann limit number
: Students can calculate the definite integral with Riemann limit number
: Definite Integral
: 1. The principle of mathematic Induction
2. Definite integral as a Riemann limit number

General Competence
Specific Competence
Subject
Sub Subject

E. Learning Activities
Phase
Foreword

Learning Activities
Lecturer explains the specific competence and the material benefits

Media and Learning
Tool
Laptop
Infocus

Presentation

Covering

Lecturer and the students discuss about definite integral

Lecturer and the students make summary from the materials that have been learned.
Then, lecturer gives the structured tasks such exercise to the students

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board
SATUAN ACARA PEMBELAJARAN (SAP) IV
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 3 x 50 minutes

A.
B.
C.
D.

: Students can prove the calculus fundamental theorem
: Students can use the calculus fundamental theorem
: Definite Integral
:The first calculus fundamental theorem. Second calculus fundamental theorem. The characteristics
definite integral further

General Competence
Special Competence
Subject
Sub Subject

E. Learning Activities
Phase
Foreword

Learning Activities
Lecturer explains the specific competence and the benefit of material

Media and Learning Tool
Laptop
Infocus

Presentation
Covering

Lecturer and the students discuss about the fundamental theorem of calculus
Lecturer and the students make the summary from the materials that have been
learned.
Then, lecturer gives the structured tasks such exercise and independent task like the
reading material from book (1) to the students.

F. EValuation
1. Structured Task
2. Independent Task
Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board
SATUAN ACARA PEMBELAJARAN (SAP) V
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 150 minutes

A.
B.
C.
D.
E.

: Students can use transcendent function in calculus
: Students can determine the derivative of transcendent function
: Transcendent Function
: Logarithm function and exponent function

General Competence
Specific Competence
Subject
Sub Subject
Learning Activities
Phase

Foreword
Presentation

Learning Activities

Media and Learning Tool

Lecturer explains the specific competence and remind the students about…
Lecturer and the students discuss about the continue function

Laptop
Infocus

Covering

Lecturer and the students make the summary from the materials that have been
learned.
Then, lecturer gives the structured tasks such exercise and independent task like the
reading material from book (1) to the students.

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board
SATUAN ACARA PEMBELAJARAN (SAP) VI
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 3 x 50 minutes

A.
B.
C.
D.
E.

: Students can use transcendent function in calculus
: Students can determine the derivative of hyperbolic function
: Transcendent Function
: Logarithm function and the invers

General Competence
Special Competence
Subject
Sub Subject
Learning Activities
Phase

Foreword

Learning Activities
Lecturer explains the specific competence and remind the material benefits

Media and Learning Tool
Laptop
Infocus

Presentation

Covering

Lecturer and the students discuss about the hyperbolic function

Lecturer and the students make the summary from the materials that have been
learned.
Then, lecturer gives the structured tasks such exercise and independent task like the
reading material from book (1) to the students.

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board
SATUAN ACARA PEMBELAJARAN (SAP) VII, VIII, IX, X
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 150 minutes every meeting

A.
B.
C.
D.
E.

: Students can understand the indeterminate form and improper integral
: Students can use the indeterminate form to calculate the improper integral
: Indeterminate form and improper integral
: Indeterminate forms and improper integral

General Competence
Special Competence
Subject
Sub Subject
Learning Activities
Phase

Foreword

Learning Activities
Lecturer presents the specific competence and the material benefits

Media and Learning Tool
Laptop
Infocus

Presentation
Covering

Lecturer and the students discuss the indeterminate form and improper integral
Lecturer and the students make the summary from the materials that have been
learned.
Then, lecturer gives the structured tasks such exercise and independent task like the
reading material from book (1) to the students.

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board
SATUAN ACARA PEMBELAJARAN (SAP) XI, XII, XIII

Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 150 minutes every meeting

A. General Competence
B. Special Competence

: Students can show indeterminate form and calculate the improper integral
: 1. Students can show the indeterminate form
2. Students can calculate the improper integral
: Indeterminate form and improper integral
: Indeterminate form and improper integral

C. Subject
D. Sub Subject
E. Learning Activities
Phase

Learning Activities

Foreword

Lecturer presents the specific competence and the material benefits

Presentation

Lecturer and the students discuss about the indeterminate form and improper integral

Covering

Lecturer and the students make the summary from the materials that have been
learned.
Then, lecturer gives the structured tasks such exercise and independent task like the
reading material from book (1) and (2)

Media and Learning Tool
Laptop
Infocus

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board
SATUAN ACARA PEMBELAJARAN (SAP) XIV, XV, XVI
Subject/Code/Course

: Calculus II/PMT/202/3 Course

Time

: 150 minutes

A.
B.
C.
D.
E.

: Students can show the using of integral
: Students can calculate the area, volume, and the center of mass of an object
: The using of integral
: Area, volume, the center of mass

General Competence
Special Competence
Subject
Sub Subject
Learning Activities

Phase

Learning Activities

Foreword

Lecturer presents the specific competence and the material benefits

Presentation

Lecturer and the students discuss about the using of integral

Covering

Lecturer and the students make the summary from the materials that have been
learned.
Then, lecturer gives the structured tasks such exercise and independent task like the
reading material from book (1) to the students

Media and Learning Tool
Laptop
Infocus

F. Valuation
1. Structured Task
2. Independent Task
G. Reference
1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta
2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta

White board

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Satuan acara pembelajaran

  • 1. SATUAN ACARA PEMBELAJARAN (SAP) Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 150 minutes A. B. C. D. E. : Students can understand the concept of indefinite integral as an anti derivative : Students can determine the indefinite integral by using the formula of integral : Indefinite Integral : The concept of anti derivative and indefinite integral General Competence Specific Competence Subject Sub Subject Learning Activities Phase Foreword Presentation Learning Activities Lecturer explains the specific competence, remind the material of derivative which has been learned in Calculus I Lecturer gives the definition of diferential and the illustration Media and Learning Tool Laptop Infocus White board Covering Lecturer and the students make the summary of the material that has been learned. Then, lecturer gives the structured tasks such exercise and independent task F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta
  • 2. SATUAN ACARA PEMBELAJARAN (SAP) II Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 3 x 50 minutes A. General Competence B. Specific Competence : Students can understand the concept of indefinite integral which obtained from derivative formula : Students can determine the indefinite integral by using derivative formula that obtained from many derivative formulas, integral method with replacement : Indefinite Integral : The formulas of indefinite integral C. Subject D. Sub Subject E. Learning Activities Phase Foreword Learning Activities Lecturer presents the specific competence and material benefits Media and Learning Tool Laptop Infocus White board Presentation Lecturer and the students discuss the different ways of calculate the indefinite integral Covering Lecturer and the students make the summary from the materials that have been learned F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta
  • 3. SATUAN ACARA PEMBELAJARAN (SAP) III Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 3 x 50 minutes A. B. C. D. : Students can apply the Riemann limit number : Students can calculate the definite integral with Riemann limit number : Definite Integral : 1. The principle of mathematic Induction 2. Definite integral as a Riemann limit number General Competence Specific Competence Subject Sub Subject E. Learning Activities Phase Foreword Learning Activities Lecturer explains the specific competence and the material benefits Media and Learning Tool Laptop Infocus Presentation Covering Lecturer and the students discuss about definite integral Lecturer and the students make summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise to the students F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board
  • 4. SATUAN ACARA PEMBELAJARAN (SAP) IV Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 3 x 50 minutes A. B. C. D. : Students can prove the calculus fundamental theorem : Students can use the calculus fundamental theorem : Definite Integral :The first calculus fundamental theorem. Second calculus fundamental theorem. The characteristics definite integral further General Competence Special Competence Subject Sub Subject E. Learning Activities Phase Foreword Learning Activities Lecturer explains the specific competence and the benefit of material Media and Learning Tool Laptop Infocus Presentation Covering Lecturer and the students discuss about the fundamental theorem of calculus Lecturer and the students make the summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise and independent task like the reading material from book (1) to the students. F. EValuation 1. Structured Task 2. Independent Task Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board
  • 5. SATUAN ACARA PEMBELAJARAN (SAP) V Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 150 minutes A. B. C. D. E. : Students can use transcendent function in calculus : Students can determine the derivative of transcendent function : Transcendent Function : Logarithm function and exponent function General Competence Specific Competence Subject Sub Subject Learning Activities Phase Foreword Presentation Learning Activities Media and Learning Tool Lecturer explains the specific competence and remind the students about… Lecturer and the students discuss about the continue function Laptop Infocus Covering Lecturer and the students make the summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise and independent task like the reading material from book (1) to the students. F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board
  • 6. SATUAN ACARA PEMBELAJARAN (SAP) VI Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 3 x 50 minutes A. B. C. D. E. : Students can use transcendent function in calculus : Students can determine the derivative of hyperbolic function : Transcendent Function : Logarithm function and the invers General Competence Special Competence Subject Sub Subject Learning Activities Phase Foreword Learning Activities Lecturer explains the specific competence and remind the material benefits Media and Learning Tool Laptop Infocus Presentation Covering Lecturer and the students discuss about the hyperbolic function Lecturer and the students make the summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise and independent task like the reading material from book (1) to the students. F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board
  • 7. SATUAN ACARA PEMBELAJARAN (SAP) VII, VIII, IX, X Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 150 minutes every meeting A. B. C. D. E. : Students can understand the indeterminate form and improper integral : Students can use the indeterminate form to calculate the improper integral : Indeterminate form and improper integral : Indeterminate forms and improper integral General Competence Special Competence Subject Sub Subject Learning Activities Phase Foreword Learning Activities Lecturer presents the specific competence and the material benefits Media and Learning Tool Laptop Infocus Presentation Covering Lecturer and the students discuss the indeterminate form and improper integral Lecturer and the students make the summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise and independent task like the reading material from book (1) to the students. F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board
  • 8. SATUAN ACARA PEMBELAJARAN (SAP) XI, XII, XIII Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 150 minutes every meeting A. General Competence B. Special Competence : Students can show indeterminate form and calculate the improper integral : 1. Students can show the indeterminate form 2. Students can calculate the improper integral : Indeterminate form and improper integral : Indeterminate form and improper integral C. Subject D. Sub Subject E. Learning Activities Phase Learning Activities Foreword Lecturer presents the specific competence and the material benefits Presentation Lecturer and the students discuss about the indeterminate form and improper integral Covering Lecturer and the students make the summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise and independent task like the reading material from book (1) and (2) Media and Learning Tool Laptop Infocus F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board
  • 9. SATUAN ACARA PEMBELAJARAN (SAP) XIV, XV, XVI Subject/Code/Course : Calculus II/PMT/202/3 Course Time : 150 minutes A. B. C. D. E. : Students can show the using of integral : Students can calculate the area, volume, and the center of mass of an object : The using of integral : Area, volume, the center of mass General Competence Special Competence Subject Sub Subject Learning Activities Phase Learning Activities Foreword Lecturer presents the specific competence and the material benefits Presentation Lecturer and the students discuss about the using of integral Covering Lecturer and the students make the summary from the materials that have been learned. Then, lecturer gives the structured tasks such exercise and independent task like the reading material from book (1) to the students Media and Learning Tool Laptop Infocus F. Valuation 1. Structured Task 2. Independent Task G. Reference 1. Edwin J. Purcell, Kalkulus dan Geometri Analitik (Terjemahan), Erlangga, Jakarta 2. Louis Leithold, Kalkulus dan Ilmu Ukur Analitik (Terjemahan), Erlangga, Jakarta White board