Portofolio MK - 1
Rencana Pembelajaran Semester / Learning Plan
INSTITUT TEKNOLOGI SEPULUH NOPEMBER (ITS)
FAKULTAS SAINS DAN ANALITIKA DATA
DEPARTEMEN MATEMATIKA
Kode
Dokumen
RENCANA PEMBELAJARAN SEMESTER
MATA KULIAH (MK) KODE Rumpun MK BOBOT (sks) SEMESTER Tgl Penyusunan
Kalkulus 1 / Calculus 1 SM224101 3 1 26 Agustus 2022
OTORISASI / PENGESAHAN Dosen Pengembang RPS Koordinator RMK Ka PRODI
Dr. Tahiyatul Asfihani, S.Si, M.Si
Tanda tangan
Tanda tangan
Capaian
Pembelajaran
CPL-PRODI yang dibebankan pada MK
CPL-1
LO-1
[C2] Mahasiswa mampu mengidentifikasi dan menjelaskan pondasi matematika yang meliputi murni, terapan dan dasar-dasar
komputasi
[C2] Students are able to identify and explain foundations of mathematics that include pure, applied, and the basic of computing
CPL-2
LO-2
[C3] Mahasiswa mampu menyelesaikan permasalahan sederhana dan praktis dengan mengaplikasikan pernyataan matematika
dasar, metode dan komputasi
[C3] Students are able to solve simple and practical problems by applying basic mathematical statements, methods and
computations
Capaian Pembelajaran Mata Kuliah (CPMK) – Bila CP MK sebagai
kemampuan pada tiap tahap pembelajaran CP MK = Sub CP MK
CPMK-1
CLO-1
Mahasiswa mampu menerapkan persamaan atau pertidaksamaan serta grafik fungsi Persamaan Linear.
Students are able to apply equalities or inequalities as well as graphs of Linear Equation functions.
CPMK-2
CLO-2
Mahasiswa mampu mengaplikasikan bentuk peubah kompleks dalam bentuk polar serta menarik akar-akar persamaannya.
Students are able to apply complex variable forms in polar form and get the roots of the equation.
CPMK-3 Mahasiswa mampu menerapkan konsep matriks untuk menyelesaikan sistem persamaan linier dan menentukan nilai eigen.
Portofolio MK - 2
CLO-3 Students are able to apply matrix concepts to solve a linear equation system and determine the eigen value .
CPMK-4
CLO-4
Mahasiswa mampu menentukan kekontinuan fungsi dan turunanannya.
Students are able to determine the continuity of functions and their derivatives.
CPMK-5
CLO-5
Mahasiswa mampu menerapkan integral melalui teorema fundamental kalkulus.
Students are able to apply integrals through the fundamental theorem of calculus.
Peta CPL – CP MK
CPL-1
LO-1
CPL-2
LO-2
CPMK-1
CLO-1
X X
CPMK-2
CLO-2
X X
CPMK-3
CLO-3
X X
CPMK-4
CLO-4
X X
CPMK-5
CLO-5
X X
Diskripsi Singkat
MK
Dalam Mata Kuliah ini mahasiswa akan mempelajari pokok bahasan pokok bahasan sebagai berikut:
1. Konsep dasar sistem bilangan real: pengertian sistem bilangan real, bentuk desimal bilangan real, sistem koordinat , sifat urutan, pengertian nilai
mutlak, garis – grafik persamaan linear.
2. Konsep dasar bilangan kompleks: penjumlahan, perkalian, hasil bagi, bentuk polar bilangan kompeks beserta operasi aljabarnya dan penarikan
akar persamaan dalam sistem bilangan kompleks.
3. Konsep dasar aljabar matrik, sifat-sifat determinan, operasi baris elementer, sistem persamaan linier dan masalah nilai eigen atau vector eigen.
4. Konsep-konsep fungsi, limit: domain, range, fungsi linier, kuadratik dan trigonometri atau transcendent, grafik fungsi, limit fungsi dan kontinuitas.
5. Diferensial/turunan: definisi turunan, aturan-aturan diferensisasi (untuk fungsi polynomial, trigonometri, tramsendent), aturan rantai dan turunan
fungsi implisit.
6. Aplikasi Turunan: laju-laju berkaitan, interval naik-turun, kecekungan, sketsa grafik yang mempunyai asimtot dan puncak, nilai ekstrema dan
aplikasi masalah optimasi.
Portofolio MK - 3
Short Description
of Course
7. Integral tak-tentu: turunan dan anti turunan , Theorema Fundamental Kalkulus.
In this course, students will learn the following subjects:
1. Basic concept of real number system: definition of real number system, decimal form of real number, coordinate system, nature of sequence,
definition of absolute value, graph of linear equations.
2. The basic concept of complex numbers: addition, multiplication, quotient, polar form of complex numbers and their algebraic operations and the
drawing of equations in complex number systems.
3. The basic concept of matrix algebra, determinant properties, elementary line operations, systems of linear equations and the problem of eigenvalues
or eigenvectors.
4. The concepts of function, limit: domain, range, linear, quadratic and trigonometric or transcendent function, function graph, limit function and
continuity.
5. Differential / derivative: definition of derivatives, referenced rules (for polynomial, trigonometric, tramsendent functions), chain rules and implicit
derivatives of functions.
6. Derivative Applications: corresponding rates, increment interval, slope, graph sketch having asymptotes and peaks, extrema values and application
of optimization problems.
7. Indefinite integral: Derivative and anti-derivative, Fundamental Theorems of Calculus.
Bahan Kajian:
Materi
pembelajaran
Course Materials:
• Matrik dan Determinan. / Matrix and Determinant
• Persamaan, pertidaksamaan, grafik fungsi parabola, lingkaran atau elips./ Equations, inequalities, graphs of functions of a parabola, circle or
ellipse
• Bilangan kompleks dan bentuk polarnya./ Complex numbers and their polar coordinates.
• Kekontinuan fungsi dan turunanya. / Continuity of functions and their derivatives.
• Integral dan Theorema Fundamental Kalkulus. / Integral and Fundamental Theorems of Calculus.
Pustaka:
References:
Utama/Main:
1. Tim Dosen Jurusan Matematika ITS, Diktat Matematika 1 , Edisi ke-5 Jurusan Matematika ITS, 2020
2. Anton, H. dkk, Calculus, 10-th edition, John Wiley & Sons, New York, 2012
Pendukung /
Supporting:
1. Kreyzig, E, Advanced Engineering Mathematics, 10-th edition, John Wiley & Sons, Singapore, 2011
2. Purcell, J, E, Rigdon, S., E., Calculus, 9-th edition, Prentice-Hall, New Jersey, 2006
3. James Stewart , Calculus, ed.7, Brooks/cole-Cengage Learning, Canada,2012
Portofolio MK - 4
Dosen Pengampu:
Lecturers:
Matakuliah syarat:
Prerequisite
-
mgg/
Week
Kemampuan akhir
tiap tahapan belajar
(Sub-CPMK) /
Final ability of each
learning stage (LLO)
Penilaian / Assessment
Bantuk Pembelajaran; Metode
Pembelajaran; Penugasan Mahasiswa;
[ Estimasi Waktu] /
Form of Learning; Learning Method;
Student Assignment;
[ Estimated Time]
Materi Pembelajaran
[Pustaka] /
Learning Material
[Reference]
Bobot
Penilaian
/Assess-
ment
Load (%)
Indikator /
Indicator
Kriteria & Teknik /
Criteria & Techniques
(1) (2) (3) (4) Tatap Muka /
In-class (5)
Daring /
Online (6)
(7) (8)
1-2
Pengantar Kuliah
Introduction of
Learning
Motivasi belajar, menyampaikan RPS, aturan perkuliahan dan sistem penilaian macam Evaluasi dan Prosentase masing
masing evaluasi, Buku Ajar / sumber pustaka
Learning motivation, delivering learning plan, lectures rules and assessment systems such as evaluation and percentage of
each evaluation, textbooks / library sources
Mahasiswa mampu
menerapkan
persamaan atau
pertidaksamaan serta
grafik fungsi
persamaan Linear.
Students are able to
apply equalities or
Ketepatan menyelesaikan
persamaan atau
pertidaksamaan dan
mensketsa persamaan
linear.
The precision of solving
equations or inequalities
Tugas 1 :
Latihan soal tentang
sistem bilangan, nilai
mutlak, grafik persamaan
dan garis, persamaan
linear.
Task 1 :
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 3x2x 50”]
[BM : 3x2 x 60”]
[PT : 3 x2x 60”]
Tutorial activities,
exercises and
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
Sistem bilangan real,
nilai mutlak, grafik
persamaan dan garis,
persamaan linear
[1] Matematika 1, Bab
1, Hal. 1 – 18
Portofolio MK - 5
inequalities as well as
graphs of Linear
Equation functions.
and sketching out linear
equations.
Exercises on the real
number systems, absolute
values, graphs of
equations and lines, linear
equations.
provide
assignment .
[FF : 3 x2x 50”]
[SA : 3 x 2x60”]
[SS : 3 x 2x 60”]
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Real number system,
absolute value, graph
equations, lines, linear
equations
[1] Mathematics 1,
Chapter 1, pp. 1 – 18
Asistensi 1 / 1
st
Assistence
Latihan soal-soal [TM : 1x2 x 50”]
Practice- Exercises [FF : 1x2 x 50”]
3
Mahasiswa mampu
mengaplikasikan
bentuk peubah
kompleks dalam
bentuk polar serta
menarik akar-akar
persamaannya.
Students are able to
apply complex
variable forms in polar
form and get the roots
of the equation.
Ketepatan
menyelesaikan:
operasi peubah kompleks
dan bentuk polar serta
menarik akar-akar
persamaan peubah
kompleks.
Accuracy to solving: the
operation of complex
variables and their polar
forms and get the roots of
complex variable
equations.
Tugas 2:
Latihan soal tentang
bilangan kompleks dan
teorema De Moivre.
Kuis 1
Task 2: Exercises on
complex numbers and the
De Moivre theorem
Quiz 1
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
[BM : 2x2 x 60”]
[PT : 2x2x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 2 x 2x 50”]
[SA : 2x2 x 60”]
[SS : 2x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Bilangan kompleks
dan Teorema De
Moivre
[1] Matematika 1, Bab
2, Hal. 19 – 30
Complex numbers and
De Moivre's Theorem
[1] Mathematics 1,
Chapter 2, pp. 19 – 30
4
Mahasiswa mampu
menyelesaikan
operasi matriks dan
Ketepatan
menyelesaikan operasi
matriks dan menentukan
Tugas 3:
Latihan Soal tentang
matriks dan operasinya,
Kuliah, latihan Kuliah, latihan
soal-soal serta
memberikan soal
Matriks dan
operasinya, operasi
Portofolio MK - 6
menentukan invers
matriks dengan
menggunakan OBE
Students are able to
solve matrix
operations and
determine the inverse
of a matrix using OBE
invers matriks dengan
menggunakan OBE
The accuracy of solving
matrix operations and
determining the inverse
of the matrix using OBE
operasi baris elementer,
matriks invers.
Task 3:
Exercises about matrices
and their operations,
elementary row
operations, invers
matrices.
soal-soal serta
memberikan soal
tugas
[TM : 1x2 x 50”]
[BM : 1x2 x 60”]
[PT : 1x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 1x2 x 50”]
[SA : 1x2x 60”]
[SS : 1x2 x 60”]
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
baris elementer dan
matriks invers
[1] Matematika 1,
Subbab 3.1 dan 3.2,
hal: 31 – 42
Matrices and their
operations,
elementary row
operations and inverse
matrices
[1]Mathematics 1,
Sections 3.1 and 3.2,
pp. 31 – 42
ASISTENSI KE 2 / 2
nd
Assistence
Latihan soal-soal [TM : 1x2 x 50”]
Practice- Exercises [FF : 1x2 x 50”]
5 Mahasiswa mampu
menyelesaikan sistem
persamaan linear dan
menentukan
determinan.
Students are able to
solve systems of linear
Ketepatan memperoleh
menyelesaikan sistem
persamaan linier dan
menentukan determinan.
The accuracy of obtaining
solving a system of linear
equations and
Tugas 4:
Latihan soal tentang
sistem persamaan linear,
determinan, minor,
kofaktor dan aturan
Cramer .
Task 4:
Exercices on questions
about systems of linear
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
[BM : 2x2x 60”]
[PT : 2x2x 60”]
Tutorial activities,
exercises and
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
Sistem persamaan
linear, determinan,
minor, kofaktor dan
aturan Cramer.
[1] Matematika 1,
Subbab 3.3-3.5, hal: 42
– 63
systems of linear
equations,
determinants, minor,
Portofolio MK - 7
equations and
determine
determinants.
determining the
determinant.
equations, determinants,
minor, cofactors and
Cramer's rule.
provide
assignment .
[FF : 2x2x 50”]
[SA : 2x2x 60”]
[SS : 2x2 x 60”]
synchronous /
asynchronous in MyITS
Classroom.
cofactors and
Cramer's rule.
[1] Mathematics 1,
Sections 3.3-3.5, pp:
42 – 63
6 Mahasiswa mampu
menentukan nilai
eigen dan vektor
eigen.
Students are able to
determine eigenvalues
and eigenvectors.
Ketepatan menemukan
nilai eigen dan vektor
eigen dari suatu matriks.
The accuracy of finding
eigenvalues and
eigenvectors of a matrix.
Tugas 5:
Latihan soal tentang nilai
eigen dan vektor eigen
Kuis 2
Task 5:
Ecercises on eigenvalues
and eigenvectors
Quiz 2
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 1x2 x 50”]
[BM : 1x2 x 60”]
[PT : 1x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 1x2 x 50”]
[SA : 1x2 x 60”]
[SS : 1x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Nilai eigen dan vektor
eigen.
[1] Matematika 1,
Subbab 3.6, hal: 63 –
67
Eigenvalues and
eigenvectors.
[1] Mathematics 1,
Section 3.6, pp: 63 –
67
ASISTENSI KE 3 / 3th Assistence
Latihan soal-soal [TM : 1x 2 x 50”]
Practice- Exercises [FF : 1x 2 x 50”]
7 • Mahasiswa
mampu
menyelesaikan
operasi pada
fungsi.
• Ketepatan
menghitung operasi
pada fungsi.
• Ketepatan mampu
mensketsa grafik
Tugas 6:
Latihan soal tentang
definisi dan notasi fungsi,
operasi pada fungsi.
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
• Function definition
and notation,
operations on
functions
Portofolio MK - 8
• Mahasiswa
mampu mampu
mensketsa grafik
fungsi dan mencari
fungsi Invers.
• Students are able
to complete
operations on
functions and are
able to sketch
graph of functions.
• Students are able
to understand the
properties of the
function graph and
look for the inverse
function.
fungsi dan
memperoleh Fungsi
Invers.
• Precise calculating
operations on
functions and capable
of sketching graph of
functions.
• The precision of
applying the
Properties of the
function graph and
obtaining the Inverse
Function.
Tugas 7:
Latihan Soal tentang
grafik fungsi dan fungsi
invers
Task 6:
Exercise on the definition
and notation of functions,
operations on functions
and graph sketches of
functions
Task 7:
Exercises on the
properties of the graph of
functions and inverse
functions
[BM : 2x2 x 60”]
[PT : 2x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 2x2 x 50”]
[SA : 2x2x 60”]
[SS : 2x2 x 60”]
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
[1] Mathematics 1,
Sections 4.1 and 4.2,
hal: 69 – 80
• Grafik fungsi, sifat-
sifat grafik fungsi
dan fungsi invers.
• [1] Matematika 1,
Subbab 4.3-4.5, hal: 80
– 100
•
• Function operations
and graph of
functions
[1] Mathematics 1,
Sections 4.1-4.2, pp:
69 – 80
• Graph properties of
functions and
Inverse Functions.
[1] Mathematics 1,
Sections 4.3-4.5, page:
80-100
8 EVALUASI KE-3
EVALUASI TENGAH
SEMESTER
Ketajaman
menyelesaikan soal soal
yang terkait dengan
bilangan, fungsi, limit
dan kekontinuan suatu
fungsi.
TES TERTULIS
TERJADWAL
Ujian tertulis
Waktu: 100 “
TERJADWAL
Daring
asinkronus
Waktu: 90”
25
Portofolio MK - 9
3th Evaluation
MIDTERM EXAM
Sharpness in solving
problems related to the
number, function, limit
and continuity of a
function.
WRITTEN TEST
SCHEDULED
Written
examination
Time: 100 “
SCHEDULED
Asyncronous
Time: 90”
9 Mahasiswa mampu
menghitung Limit
fungsi dan limit tak
hingga.
Students are able to
calculate the function
limit
Ketepatan menghitung
Limit fungsi dan limit tak
hingga.
The accuracy of
calculating the Limit
function and the infinite
limit.
Tugas 8:
Latihan soal tentang
perhitungan limit dan
limit tak-hingga.
Task 8:
Exercises about limit
notation and calculation
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
[BM : 2x2 x 60”]
[PT : 2x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 2x2 x 50”]
[SA : 2x2 x 60”]
[SS : 2x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Pengantar notasi limit,
penghitungan limits,
limit di tak-hingga.
[1] Matematika 1,
Subbab 5.1-5.3, hal:
101 - 124
Introduction to limit
notation, calculating
limits, limit at infinity.
[1] Mathematics 1,
Sections 5.1-5.3, page:
101-124
10 Mahasiswa mampu
menentukan
kekontinuan fungsi.
Ketepatan menentukan
kekontinuan fungsi .
Tugas 9:
Latihan soal tentang
kekontinuan
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 1x2 x 50”]
[BM : 1x2 x 60”]
[PT : 1x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Kekontinuan fungsi.
[1] Matematika 1,
Subbab 5.4, hal: 124 –
134
Portofolio MK - 10
Students are able to
determine the
continuity of
functions.
The accuracy of
determining the
continuity of functions.
Task 9:
Exercises about
continuity.
Tutorial activities,
exercises and
provide
assignment .
[FF : 1x2 x 50”]
[SA : 1x2 x 60”]
[SS : 1x2 x 60”]
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Continuity.
[1] Mathematics 1,
Section 5.4, pp: 124 –
134
ASISTENSI KE 4 / 4
th
Asistence
Latihan soal-soal [TM : 1x2 x 50”]
Practice- Exercises [FF : 1x2 x 50”]
11 • Mahasiswa
mampu
menentukan Garis
singgung dan laju
perubahan serta
menentukan
turunan fungsi.
• Mahasiswa
mampu
menentukan
turunan dengan
diferensial implisit.
• Students are able
to determine
tangent lines and
rates of change
and determine
• Ketepatan
menentukan Garis
singgung dan laju
perubahan serta
menentukan turunan
fungsi.
• Ketepatan
menentukan Turunan
dengan diferensial
implisit.
• The precision
determines the
tangent lines and
rates of change and
determines the
Tugas 10:
Latihan soal tentang garis
singgung dan laju
perubahan, fungsi
turunan.
Tugas 11:
Latihan soal tentang
diferensiasi, aturan rantai
dan diferensiasi implisit
Kuis 3
Task 10:
Exercises on tangent lines
and rates of change, the
derivative function.
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
[BM : 2x2 x 60”]
[PT : 2x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 2x2 x 50”]
[SA : 2x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
• Garis singgung dan
laju perubahan,
fungsi turunan,
diferensiasi.
[1] Matematika 1,
Subbab 6.1-6.3, hal:
135 – 155
• Aturan rantai dan
diferensiasi
implisit.
[1] Matematika 1,
Subbab 6.4, hal: 156 –
164
• Tangent lines and
rates of change,
derivative function,
differentiation.
Portofolio MK - 11
derivative
functions
• Students are able
to determine
derivatives with
implicit
differentials.
derivative of the
function.
• Determine the
accuracy of the
derivative by implicit
differential.
Task 11:
Exercises on
differentiation, chain rule
and implicit
differentiation.
Quiz 3
[SS : 2x2 x 60”] [1] Mathematics 1,
Sections 6.1-6.3, pp:
135-155
• Determine the
derivative with
implicit differential
and analyze the
graph of the
function.
[1] Mathematics 1,
Section 6.4, page: 156
– 164
12 Mahasiswa mampu
Menyelesaikan laju-
laju yang berkaitan
Students are able to
complete the rates
associated with.
Ketepatan menghitung
laju-laju yang berkaitan
The accuracy of
calculating the
corresponding rates.
Tugas 12:
Latihan soal tentang laju
– laju yang berkaitan.
Task 12:
Exercises on the
associated rates.
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 1x2 x 50”]
[BM : 1x2 x 60”]
[PT : 1x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 1x2 x 50”]
[SA : 1x2 x 60”]
[SS : 1x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Laju-laju yang
berkaitan
[1] Matematika 1,
Subbab 7.1, hal: 165 –
174
Related rates
[1] Mathematics 1,
Section 7.1, pp: 165 –
174
ASISTENSI KE 5 / 5
th
Asistence
Latihan soal-soal [TM : 1x2 x 50”]
Practice- Exercises [FF : 1x2 x 50”]
Portofolio MK - 12
13 • Mahasiswa mampu
menentukan selang
naik/turunnya fungsi
dan kecekungannya
dengan
menggunakan uji
turunan pertama
dan kedua.
• Mahasiswa mampu
menentukan nilai
maksimum/
minimum fungsi
serta mampu
mensketsa grafik
fungsi polinomial,
rasional dan grafik
yang lainnya.
• Students are able to
determine the
increase / decrease
interval of the
function and its
concave by using the
first and second
derivative tests.
• Students are able to
determine the
• Ketepatan menentukan
selang naik/turunnya
fungsi dan
kecekungannya dengan
menggunakan uji
turunan pertama dan
kedua.
• Ketepatan menentukan
nilai maksimum/
minimum fungsi serta
mampu mensketsa
grafik fungsi polinomial,
rasional dan grafik yang
lainnya.
• The accuracy of
determining the
increase / decrease of
the function's interval
and its proportions
using the first and
second derivative tests.
• Accuracy in calculating
the maximum /
minimum value of
functions and being
Tugas 13:
Latihan soal tentang
selang naik dan selang
turun, kecekungan fungsi,
ekstrim relatif, uji
turunan pertama dan
kedua.
Tugas 14:
Latihan soal tentang
grafik polinomial dan
fungsi rasional, nilai
maksimum atau
minimum suatu fungsi.
Task 13 :
Exercises on the rise and
fall intervals, the
concavity of the function,
the relative extremes, the
first and second
derivative tests.
Task 14:
Exercises on graphing
polynomials and rational
functions, the maximum
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
[BM : 2x2 x 60”]
[PT : 2x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 2x2 x 50”]
[SA : 2x2 x 60”]
[SS : 2x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
• Selang naik dan
selang turun,
kecekungan fungsi,
ekstrim relatif, uji
turunan pertama
dan kedua
[1] Matematika 1,
Subbab 7.2-7.3, hal:
174 – 190
• Grafik polinomial
dan fungsi rasional,
nilai maksimum dan
minimum suatu
fungsi
[1] Matematika 1,
Subbab 7.4-7.5, hal:
191 - 211
• Interval of the
function, function
concavity, relative
extreme, first and
second derivative
test
[1] Mathematics 1,
Sections 7.2-7.3, pp:
165 – 190
Portofolio MK - 13
maximum /
minimum value of
functions and are
able to sketch
polynomial, rational
and other graphical
graphs of functions.
able to sketch
polynomial, rational
and other graphical
functions.
or minimum values of a
function.
• Graphs of
polynomials and
rational functions,
maximum and
minimum values of a
function.
[1] Mathematics 1,
Sections 7.4-7.5, pp:
191 – 211
14 Mahasiswa mampu
menyelesaikan
masalah yang
berkaitan dengan
persoalan-persoalan
maksimum/minimum.
Students are able to
solve problems related
to maximum /
minimum problems.
Ketepatan menyelesaikan
masalah yang berkaitan
dengan persoalan-
persoalan
maksimum/minimum.
Accuracy in solving
problems related to
maximum / minimum
problems
Tugas 15:
Latihan soal tentang
Aplikasi masalah
maksimum atau
minimum, teorema rolle
dan teorema nilai rata-
rata
Task 15:
Exercises on the
application of the
maximum or minimum
problem, the rolle
theorem and the mean
value theorem
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 1x2 x 50”]
[BM : 1x2 x 60”]
[PT : 1x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 1x2 x 50”]
[SA : 1x2 x 60”]
[SS : 1x2 x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Aplikasi masalah
maksimum dan
minimum.
[1] Matematika 1,
Subbab 7.6, hal: 212 –
236
Application of
maximum and
minimum problems .
[1] Mathematics 1,
Section 7.6,pp: 212 –
236
ASISTENSI KE 6 / 6
th
Asistence
Latihan soal-soal [TM : 1x2 x 50”]
Practice- Exercises [FF :1x 2 x 50”]
Portofolio MK - 14
15 • Mahasiswa mampu
menentukan Anti
turunan fungsi dan
Luas sebagai limit
jumlahan.
• Mahasiswa mampu
menentukan
Turunan dengan
menggunakan
Teorema
Fundamental
Kalkulus I dan II .
• Students are able to
determine the
derivative of the
function and area as
the sum limit.
• Students are able to
determine the
derivative using the
Fundamental
Theorem of Calculus
I and II.
• Ketepatan menentukan
Anti turunan fungsi dan
Luas sebagai limit
jumlahan.
• Ketepatan
menentukan Turunan
dengan menggunakan
Teorema Fundamental
Kalkulus I dan II .
• The precision of
determining the
derivative of function
and Area as the sum
limit.
• The accuracy of
determining the
derivative using the
fundamental Theorem
of Calculus I and II.
Tugas 16:
Latihan soal tentang anti
turunan, integral tak
tentu, integrasi dengan
substitusi dan luas
sebagai limit
Tugas 17:
Latihan soal tentang
integral tertentu,
Teorema Fundamental
Kalkulus I, integral
tertentu dengan
substitutsi, hampiran
jumlahan Riemann,
Teorema Fundamental
Kalkulus II
Task 16:
Exercise on anti-
derivative, indefinite
integral, integration with
substitution and area as
limit
Task 17:
Exercises on certain
integrals, fundamental
theorem of Calculus I,
certain integrals with
Kuliah, latihan
soal-soal serta
memberikan soal
tugas
[TM : 2x2 x 50”]
[BM : 2x2 x 60”]
[PT : 2x2 x 60”]
Tutorial activities,
exercises and
provide
assignment .
[FF : 2x2 x 50”]
[SA : 2x2 x 60”]
[SS : 2x2x 60”]
Kuliah, latihan
soal-soal serta
memberikan soal
tugas melalui
syncronous /
asyncornous
di MyITS Classroom.
Tutorial activities,
exercises and provide
assignment via
synchronous /
asynchronous in MyITS
Classroom.
Integral.
[1] Matematika 1, Bab
8, hal: 237 – 297
Integral
[1] Mathematics 1,
Chapter 8, page: 237 –
297
Portofolio MK - 15
substitutions, Riemann
sum approximation, the
fundamental Theorem of
Calculus II
16 EVALUASI KE_5
5
th
Evaluation
EVALUASI AKHIR
SEMESTER
Final Exam
Ketajaman
menyelesaikan soal soal
yang terkait dengan
turunan dan anti
turunan.
TES TERTULIS
Sharpness in solving
problems related to
derivatives and anti
derivatives.
WRITTEN TEST
TERJADWAL
Ujian tertulis
Waktu: 100”
SCHEDULED
Written
examination
Time: 100”
TERJADWAL
Daring
asinkronus
Waktu: 90”
SCHEDULED
Written examination
asyncronous my ITS
classroom.
Time: 90”
25
Catatan sesuai dengan SN Dikti Permendikbud No 3/2020:
1. Capaian Pembelajaran Lulusan PRODI (CPL-PRODI) adalah kemampuan yang dimiliki oleh setiap lulusan PRODI yang merupakan internalisasi dari sikap, penguasaan pengetahuan
dan ketrampilan sesuai dengan jenjang prodinya yang diperoleh melalui proses pembelajaran.
2. CPL yang dibebankan pada mata kuliah adalah beberapa capaian pembelajaran lulusan program studi (CPL-PRODI) yang digunakan untuk pembentukan/pengembangan sebuah
mata kuliah yang terdiri dari aspek sikap, ketrampulan umum, ketrampilan khusus dan pengetahuan.
3. CP Mata kuliah (CPMK) adalah kemampuan yang dijabarkan secara spesifik dari CPL yang dibebankan pada mata kuliah, dan bersifat spesifik terhadap bahan kajian atau materi
pembelajaran mata kuliah tersebut.
4. Sub-CP Mata kuliah (Sub-CPMK) adalah kemampuan yang dijabarkan secara spesifik dari CPMK yang dapat diukur atau diamati dan merupakan kemampuan akhir yang direncanakan
pada tiap tahap pembelajaran, dan bersifat spesifik terhadap materi pembelajaran mata kuliah tersebut.
5. Indikator penilaian kemampuan dalam proses maupun hasil belajar mahasiswa adalah pernyataan spesifik dan terukur yang mengidentifikasi kemampuan atau kinerja hasil belajar
mahasiswa yang disertai bukti-bukti.
6. Kreteria Penilaian adalah patokan yang digunakan sebagai ukuran atau tolok ukur ketercapaian pembelajaran dalam penilaian berdasarkan indikator-indikator yang telah ditetapkan.
Kreteria penilaian merupakan pedoman bagi penilai agar penilaian konsisten dan tidak bias. Kreteria dapat berupa kuantitatif ataupun kualitatif.
7. Teknik penilaian: tes dan non-tes.
8. Bentuk pembelajaran: Kuliah, Responsi, Tutorial, Seminar atau yang setara, Praktikum, Praktik Studio, Praktik Bengkel, Praktik Lapangan, Penelitian, Pengabdian Kepada Masyarakat
dan/atau bentuk pembelajaran lain yang setara.
Portofolio MK - 16
9. Metode Pembelajaran: Small Group Discussion, Role-Play & Simulation, Discovery Learning, Self-Directed Learning, Cooperative Learning, Collaborative Learning, Contextual
Learning, Project Based Learning, dan metode lainnya yg setara.
10. Materi Pembelajaran adalah rincian atau uraian dari bahan kajian yg dapat disajikan dalam bentuk beberapa pokok dan sub-pokok bahasan.
11. Bobot penilaian adalah prosentasi penilaian terhadap setiap pencapaian sub-CPMK yang besarnya proposional dengan tingkat kesulitan pencapaian sub-CPMK tsb., dan totalnya
100%.
12. TM=Tatap Muka, PT=Penugasan Terstuktur, BM=Belajar Mandiri. / FF = Face to Face, SA = Structured Assignment, SS = Self Study