The documents provide the learning plans for a Calculus II course over 16 meetings. The plans outline the general competencies, specific competencies, subjects, learning activities and references for each meeting. The competencies include understanding indefinite integrals, derivatives of transcendental functions, and applications of integrals such as area, volume and center of mass calculations. Each meeting involves the lecturer explaining concepts, discussions between the lecturer and students, and summaries of materials along with practice exercises.
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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