elementary linear algebra portfolio bachelor …

PORTFOLIO BACHELOR DEGREE PROGRAM SARJANA

Departement of

Mathematics

Faculty of Science and Data Analytics Institut Teknologi Sepuluh Nopember

ELEMENTARY LINEAR ALGEBRA

1

1. ELEMENTARY LINEAR ALGEBRA

NAMA MK : Aljabar linier elementer

KODE MK : KM184203

SEMESTER : 7

NAMA DOSEN / TIM : Drs. I Gusti Ngurah Rai Usadha, M.Si Dr. Drs. Chairul Imron, MIKomp Dian Winda Setyawati, S.Si, M.Si

NAMA KOORDINATOR MK : Dian Winda Setyawati, S.Si, M.Si

COURSE : Elementary linear algebra

CODE : KM184203

SEMESTER : 7

LECTURER / TEAM : Drs. I Gusti Ngurah Rai Usadha, M.Si Dr. Drs. Chairul Imron, MIKomp Dian Winda Setyawati, S.Si, M.Si

COURSE COORDINATOR : Dian Winda Setyawati, S.Si, M.Si

I. Halaman Pengesahan / Endorsement Page

EVALUASI KURIKULUM 2018-2023 CURRICULUM EVALUATION 2018-2023 Nama Fakultas: Fakultas Sains dan Analitika Data Faculty Name: Faculty of Science And Data Analitycs Nama Prodi: Matematika Program Name: Mathematics Nama MK: Aljabar linier elementer Course: Elementary linear algebra

KM184821

Sem: 7

Kode/Code: KM184821

Bobot sks /Credits(T/P): 2 Rumpun MK: Ilmu Komputer Cluster Course: Computer Science

Smt: 7

OTORISASI AUTHORIZATION

Penyusun Compiler Dian Winda Setyawati, S.Si, M.Si

Koordinator RMK Cluster Coordinator Prof. DR. Erna Apriliani, M.Si

Kepala Departemen Head of Department Subchan, S.Si., M.Sc., Ph.D

TTD/SIGN.

TTD/SIGN. TTD/SIGN.

Tanggal/Date: ….. Tanggal/Date: ….. Tanggal/Date: …..

II. CPL yang dibebankan pada MK / PLO Charged to The Course

CPL Prodi / PLO

Sub CP Sub LO

CPL 1 PLO 1

CPL 2 PLO 2

CPL 3 PLO 3

CPL 4 PLO 4

CPL 5 PLO 5

CPL 6 PLO 7

CPL 7 PLO 7

Sub CP MK 1 Sub CLO 1

X

Sub CP MK2 Sub CLO 2

X X


x X

III. Bobot CPL yang dibebankan pada MK / Load of PLO Charged to The

Course

Bobot CPL Prodi pada setiap Sub CP MK Total Sub CP

Sub LO CPL 1 PLO 1

CPL 2 PLO 2

CPL 3 PLO 3

CPL 4 PLO 4

CPL 5 PLO 5

CPL 6 PLO 7

CPL 7 PLO 7

Sub CP MK 1 Sub CLO 1

0.15 0.15


0.175 0.24 0.419


0.175 0.26

0.431

Total 0.5 0.5 1.00

IV. Rencana Penilaian / Asesmen & Evaluasi RAE), dan Rencana Tugas /

Assessment & Evaluation Plan (A&EP) and Assignment Plan

RENCANA ASSESSMENT & EVALUASI ASSESSMENT & EVALUATION PLAN Bachelor Degree Program of Mathematics Department Faculty of Science and Data Analytics

MK : Aljabar Linier Elementer Course: Elementary Linear Algebra

RA&E A&EP

Write Doc Code

Kode/Code: KM184821

Bobot sks /Credits (T/P): 2 sks Rumpun MK: Matematika Terapan Course Claster: Applied Mathematics

Smt: 8

OTORISASI AUTHORIZATION

Penyusun RA & E Compiler A&EP Dian Winda Setyawati, S.Si, M.Si

Koordinator RMK Course Cluster Coordinator Prof. DR. Erna Apriliani, M.Si

Ka PRODI Head of Dept. Subchan, S.Si., M.Sc., Ph.D

Mg ke (1)

Sub CP-MK (2)

Bentuk Asesmen (Penilaian) (3)

Bobot (%) (4)

1, 2 Mahasiswa mampu menyelelesaikan SPL dengan metode eliminasi Gaussian atau Gauss Jordan Serta mampu menjelaskan mengapa SPL tidak punya penyelesaian.

Mahasiswa mampu menggunakan operasi- operasi pada matriks dan memahami sifat – sifat aljabar pada matriks

Students are able to complete the SPL using the Gaussian or Gauss Jordan elimination method As well as being

Tugas Latihan soal Task Practice

15

Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

able to explain why the SPL has no resolution.

Students are able to use operations on the matrix and understand the algebraic properties of the matrix

3 Mahasiswa mampu mencari invers matrik, dapat menyelesaikan SPL dengan invers matriks

Mahasiswa mengenal jenis-jenis matriks dan sifat –sifat pada matriks

Students are able to find matrix inverse, can solve SPL with inverse matrix

tudents recognize the types of matrices and the properties of the matrix


4 Mahasiswa mampu mencari determinan dari suatu matriks dengan ekspansi Cofaktor

Mahasiswa mampu mencari determinan dari suatu matriks dengan Reduksi Baris

Mahasiswa mampu memahami sifat – sifat pada determinan

Mahasiswa mampu menyelesaikan SPL dengan aturan cramer

Students are able to find the determinant of a matrix with Cofactor expansion

Students are able to find the determinant of a matrix with Line Reduction


Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

Students are able to understand the properties of determinants

Students are able to complete SPL with cramer rules

5-6 Mahasiswa mampu memahami vektor pada ruang 2, ruang 3 dan ruang n serta operasi pada vektor

Mahasiswa mampu menentukan norm, hasil kali titik (dot produk), jarak, hasil kali silang (cross produk), himpunan orthogonal pada 𝑅𝑛 , seta geometri dari Sistem linear

Students are able to understand the vectors in space 2, space 3 and space n and operation on the vector

Students are able to define norm, product of point (product dot), distance, cross product, orthogonal set at R^n,, seta geometry from linear Ssstem


7 Mahasiswa mampu memahami ruang vektor real

Mahasiswa mampu memahami subruang vektor real

Mahasiswa mampu memahami kombinasi linear dan himpunan bebas linear

Students are able to understand real vector spaces


Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

Students are able to understand the real vector subspace

Students are able to understand linear and linearly independent combinations

8 Evaluasi Tengah Semester Midterm Exam

Evaluasi Tengah Semester Midterm Exam

25

9-10 Mahasiswa mampu memahami basis dan dimensi dari suatu ruang vektor

Mahasiswa mampu menentukan koordinat relatif suatu vektor terhadap suatu basis pada ruang vektor

Mahasiswa mampu memahami ruang baris, ruang kolom, ruang kosong, rank, nulitas dari suatu matriks

Students are able to understand the basis and dimension of a vector space

Students are able to determine the relative coordinates of a vector on a basis in a vector space

Students are able to understand the row space, column space, blank space, rank, nullity of a matrix


15

10-12 Mahasiswa mampu memahami transformasi matriks dari 𝑅𝑛 ke 𝑅𝑚

Mahasiswa mampu memahami Komposisi pada transformasi matriks

Students be able to find standard matrix from 𝑅𝑛 to 𝑅𝑚


Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

Students be able to know well about composition function about standard matrix

13 Mahasiswa mampu menentukan nilai eigen dan vektor eigen dari suatu matriks persegi

Mahasiswa mampu menentukan syarat matriks dapat didiagonalisasi dan dapat mendiagonalisasi matriks

Students are able to determine the eigenvalues and eigenvectors of a square matrix

Students are able to determine the requirements of the matrix to be diagonalizable and do matrix diagonalization


20

14-15 Mahasiswa mampu memahami hasil kali dalam pada ruang vektor real

Mahasiswa mampu memahami himpunan orthogonol pada ruang hasil kali dalam

Mahasiswa mampu membentuk basis orthonormal dengan melakukan proses gram-schmidt

Students are able to understand inner product results in real vector spaces

Students are able to understand the set of orthogonol in the inner product space


Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

Students are able to form an orthonormal basis by performing the Gram-Schmidt process

16 Evaluasi Akhir Semester Final Exam

Evaluasi Akhir Semester Final Exam

25

Total 100%

V. Penilaian Sub CP MK / CLO Assessment

No NRP

Mahasiswa Nama Mahasiswa

Nilai Sub CP MK 1

Nilai Sub CP MK 2

Nilai Sub CP MK 3

Keterangan (lulus / Tidak Lulus)

Action Plan

1 6111840000071 ANTONIO GALILEO TANDO 10.845 30.2937 31.1613 L

2 6111840000072 GIGIH BONARO GITAPRAMUDYA 7.2075 20.13295 20.70955 TL

VI. Penilaian CPL yang dibebankan pada MK berdasarkan pada nilai Sub CP MK / PLO assessment charged to the course based on

CLO assessment

No NRP

Mahasiswa Nama Mahasiswa Nilai CPL 1 Nilai CPL 2

Keterangan (lulus / Tidak Lulus)

Action Plan

1 6111840000071 ANTONIO GALILEO TANDO 71.4 73.2 L

2 6111840000072

GIGIH BONARO GITAPRAMUDYA

56.5 39.6 TL

VII. Tindakan hasil Evaluasi untuk Perbaikan / Action plan evaluation for

improvement

Tuliskan tindakan yang akan dilakukan baik oleh Dosen – maupun usulan ke Prodi untuk

Perbaikan – terkait dengan evaluasi ketercapaian CPL

Unsur yang di evaluasi

CPL Prodi

CP MK Dosen

Sub CP MK Dosen

Model Pembelajaran Prodi + Dosen

Bentuk asesmen Prodi + Dosen

1

Lampiran

A. Rencana Tugas & Rubrik Penilaian / Assignment plan and assessment rubric

Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

1, 2 Mahasiswa mampu menyelelesaikan SPL dengan metode eliminasi Gaussian atau Gauss Jordan Serta mampu menjelaskan mengapa SPL tidak punya penyelesaian.

Mahasiswa mampu menggunakan operasi- operasi pada matriks dan memahami sifat – sifat aljabar pada matriks

Students are able to complete the SPL using the Gaussian or Gauss Jordan elimination method As well as being able to explain why the SPL has no resolution.

Students are able to use operations on the matrix and understand the algebraic properties of the matrix


15

3 Mahasiswa mampu mencari invers matrik, dapat menyelesaikan SPL dengan invers matriks

Mahasiswa mengenal jenis-jenis matriks dan sifat –sifat pada matriks

Students are able to find matrix inverse, can solve SPL with inverse matrix


Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

tudents recognize the types of matrices and the properties of the matrix

4 Mahasiswa mampu mencari determinan dari suatu matriks dengan ekspansi Cofaktor

Mahasiswa mampu mencari determinan dari suatu matriks dengan Reduksi Baris

Mahasiswa mampu memahami sifat – sifat pada determinan

Mahasiswa mampu menyelesaikan SPL dengan aturan cramer

Students are able to find the determinant of a matrix with Cofactor expansion

Students are able to find the determinant of a matrix with Line Reduction

Students are able to understand the properties of determinants

Students are able to complete SPL with cramer rules


5-6 Mahasiswa mampu memahami vektor pada ruang 2, ruang 3 dan ruang n serta operasi pada vektor

Mahasiswa mampu menentukan norm, hasil kali titik (dot produk), jarak, hasil kali silang (cross produk), himpunan orthogonal


Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

pada 𝑅𝑛 , seta geometri dari Sistem linear

Students are able to understand the vectors in space 2, space 3 and space n and operation on the vector

Students are able to define norm, product of point (product dot), distance, cross product, orthogonal set at R^n,, seta geometry from linear Ssstem

7 Mahasiswa mampu memahami ruang vektor real

Mahasiswa mampu memahami subruang vektor real

Mahasiswa mampu memahami kombinasi linear dan himpunan bebas linear

Students are able to understand real vector spaces

Students are able to understand the real vector subspace

Students are able to understand linear and linearly independent combinations


8 Evaluasi Tengah Semester Midterm Exam

Evaluasi Tengah Semester Midterm Exam

25

9-10 Mahasiswa mampu memahami basis dan dimensi dari suatu ruang vektor

Mahasiswa mampu menentukan koordinat relatif suatu vektor


15

Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

terhadap suatu basis pada ruang vektor

Mahasiswa mampu memahami ruang baris, ruang kolom, ruang kosong, rank, nulitas dari suatu matriks

Students are able to understand the basis and dimension of a vector space

Students are able to determine the relative coordinates of a vector on a basis in a vector space

Students are able to understand the row space, column space, blank space, rank, nullity of a matrix

10-12 Mahasiswa mampu memahami transformasi matriks dari 𝑅𝑛 ke 𝑅𝑚

Mahasiswa mampu memahami Komposisi pada transformasi matriks

Students be able to find standard matrix from 𝑅𝑛 to 𝑅𝑚

Students be able to know well about composition function about standard matrix


13 Mahasiswa mampu menentukan nilai eigen dan vektor eigen dari suatu matriks persegi

Mahasiswa mampu menentukan syarat matriks dapat didiagonalisasi dan dapat mendiagonalisasi matriks


20

Mg ke (1)

Sub CP-MK (2)


Bobot (%) (4)

Students are able to determine the eigenvalues and eigenvectors of a square matrix

Students are able to determine the requirements of the matrix to be diagonalizable and do matrix diagonalization

14-15 Mahasiswa mampu memahami hasil kali dalam pada ruang vektor real

Mahasiswa mampu memahami himpunan orthogonol pada ruang hasil kali dalam

Mahasiswa mampu membentuk basis orthonormal dengan melakukan proses gram-schmidt

Students are able to understand inner product results in real vector spaces

Students are able to understand the set of orthogonol in the inner product space

Students are able to form an orthonormal basis by performing the Gram-Schmidt process


16 Evaluasi Akhir Semester Final Exam

Evaluasi Akhir Semester Final Exam

25

Total 100%

B. Rubrik Atau Marking Scheme Assessment / Rubric or marking Marking Scheme

Assessment

C. Bukti – soal (Asesmen dan Tugas) / Evidence of assignment and assessment

Soal Tugas / Assignment

Soal EAS / Final term exam

D. Bukti jawaban soal dan Hasil Tugas / Evidence of solution and assignment result

1. Mid Semester Evaluation

elementary linear algebra portfolio bachelor …

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