> For the complete documentation index, see [llms.txt](https://irosyadi.gitbook.io/irosyadi/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://irosyadi.gitbook.io/irosyadi/course/mk-matematika-teknik.md).

# MK Matematika Teknik

* Kode: TKE191113
* SKS: 3
* Jadwal:
  * TKE191113 Matematika Teknik A KAMIS 07:00 - 09:30 GEDUNG TEKNIK C 101 - 65 mhs
  * TKE191113 Matematika Teknik B KAMIS 09:30 - 12:00 GEDUNG TEKNIK C 101 - 44 mhs

## Capaian Pembelajaran Lulusan (CPL) Program Studi

* Pengetahuan-PU01 : menguasai pengetahuan matematika lanjut meliputi kalkulus integral­diferensial, persamaan diferensial, aljabar linier, variable kompleks, probabilitas dan statistik, dan matematika diskret serta penerapan mereka di bidang teknik elektro;

## Capaian Pembelajaran Mata Kuliah

* Menguasai metode penyelesaian persamaan linear secara analitis dan numeris
* Menguasai operasi terhadap matriks dan penerapannya
* Menguasai konsep eigenvalue dan eigenvektor dan penerapannya
* Menguasai konsep vektor dan ruang vektor serta penerapannya
* Menguasai konsep transformasi linear dan penerapannya

## Bahan Kajian

* Sistem Persamaan Linear
* Matriks dan Operasi Matriks
* Eigenvalue dan Eigenvektor
* Dekomposisi LU
* Diagonalisasi dan Bentuk Kuadrat (tambahan)
* Ruang Vektor Euklid
* Ruang Vektor Umum
* Transformasi Linear
* Aplikasi Aljabar Linear di bidang Teknik Elektro

## Referensi

### Referensi Berbayar

* [Elementary Linear Algebra: Application Version by Howard Anton](https://books.google.co.id/books?id=loRbAgAAQBAJ\&redir_esc=y)
* [Linear Algebra and Its Applications by David C. Lay](https://books.google.co.id/books?id=apXfrQEACAAJ\&redir_esc=y)

### Referensi Bebas Terbuka

* [Interactive Linear Algebras by Dan Margalit](https://textbooks.math.gatech.edu/ila/index.html)
  * [PDF File](https://textbooks.math.gatech.edu/ila/ila.pdf)
* [Discover Linear Algebra by Jeremy Sylvestre](https://sites.ualberta.ca/~jsylvest/books/DLA1/frontmatter-1.html)
* [Linear Algebra by Jim Hefferon](https://hefferon.net/linearalgebra/)
  * [PDF File](https://joshua.smcvt.edu/linearalgebra/book.pdf)
* [Linear Algebra, Theory And Applications by Kenneth Kuttler](https://open.umn.edu/opentextbooks/textbooks/linear-algebra-theory-and-applications)
  * [PDF File](https://lila1.lyryx.com/textbooks/KUTTLER_1/marketing/Kuttler-LinearAlgebra-AFirstCourse-2017A.pdf)
* [A First Course in Linear Algebra by Robert A. Beezer](https://linear.ups.edu/) or its public beta version of [A First Course in Linear Algebra](https://linear.ups.edu/fcla/index.html)
  * [PDF File](https://linear.ups.edu/download/fcla-3.50-print.pdf)
* [MATH 1220 Linear Algebra 1 by Michael Doob](http://linearalgebra.math.umanitoba.ca/math1220/mblinalg.html)
* [A First Course in LInear Algebra by Robert A. Beezer](https://linear.ups.edu/linear.ups.edu/html/)
* [Systems of equations by David Austin](https://davidaustinm.github.io/ula/chap1.html)

## Kuliah Online

* [edX - Linear Algebra - Foundations to Frontiers](https://www.edx.org/course/linear-algebra-foundations-to-frontiers)
* [MIT OCW - Linear Algebra by Gilbert Strang](https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/) [Youtube](https://www.youtube.com/watch?v=YrHlHbtiSM0).
* [Algebra 1 - Khan Academy](https://www.khanacademy.org/math/algebra) and [Algebra 2 - Khan Academy](https://www.khanacademy.org/math/algebra2)

## Youtube

* [3Blue1Brown Youtube](https://www.youtube.com/watch?v=fNk_zzaMoSs\&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab)
* [MathTheBeautiful Youtube](https://www.youtube.com/c/MathTheBeautiful/playlists?view=50\&sort=dd\&shelf_id=2)
* [Grant Sanderson Youtube](https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab)

## Software

### PC

* [SpeedCrunch](https://speedcrunch.org/)–open source software, fast, simple
* [GNU Octave](https://www.gnu.org/software/octave/index)–open source software
* [Online Octave](https://octave-online.net/) - online GNU Octave
* [Matlab](https://www.mathworks.com/products/matlab.html)–proprietary
* [Anaconda for Python Data Science Programming](https://www.anaconda.com/products/individual)

### Android

* [Madona](https://play.google.com/store/apps/details?id=com.krazeapps.octaveprogrammingcompiler)
* [Anoc Octave Editor](https://play.google.com/store/apps/details?id=verbosus.anoclite)

## Kuliah

### Pekan-1

* Topik:
  * Pendahuluan
  * Sistem Persamaan Linear
* Buku Pendukung:
  * [LAM - Chapter 2 Systems of Linear Equations](https://linearalgebra.math.umanitoba.ca/math1220/chapter-2.html)
  * [ULA - Chapter 1 Systems of equations](https://davidaustinm.github.io/ula/chap1.html)
  * [ILA - Chapter 1 Systems of Linear Equations: Algebra](https://textbooks.math.gatech.edu/ila/chap-algebra.html)
  * [DLA - Chapter 1 Systems of linear equations](https://sites.ualberta.ca/~jsylvest/books/DLA1/chapter-systems.html)
  * [DLA - Chapter 2 Solving systems using matrices](https://sites.ualberta.ca/~jsylvest/books/DLA1/chapter-row-red.html)
  * [DLA - Chapter 3 Using systems of equations](https://sites.ualberta.ca/~jsylvest/books/DLA1/chapter-applications.html)
  * [FCLA - Chapter 1](https://linear.ups.edu/linear.ups.edu/html/chapter-SLE.html)

### Pekan-2

* Topik:
  * Matriks : Operasi

### Pekan-3

* Topik:
  * Matriks : Invers dan Dekomposisi LU
* Catatan :
  * Mengapa ada dekomposisi LU? Karena dekomposisi LU lebih cepat dipakai untuk menyelesaikan linear persamaan dengan beragam vektor **b**, dibandingkan eliminasi Gauss yang harus mengulang langkah untuk setiap vektor **b** ([Ref-1](https://www.cl.cam.ac.uk/teaching/1314/NumMethods/supporting/mcmaster-kiruba-ludecomp.pdf), [Ref-2](https://math.stackexchange.com/questions/266355/necessity-advantage-of-lu-decomposition-over-gaussian-elimination)).