Course Details

Open CourseWare (OCW) Fakultas Ilmu Terapan (FIT) Open CourseWare (OCW) Fakultas Ilmu Terapan (FIT)
Basic Engineering Math: Exploring Matrix Operations, Determinants, and Matrix Inverses
Last Update:

July 3, 2024

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About Course

 
 
 
Hi Engineering Kids!
Welcome to Engineering Math 1

Course Identity

Technical Mathematics 1 (VKI1F2) in the D3 Computer Technology Study Program, Faculty of Applied Sciences, which is found in semester 1 of the 2020 Curriculum and is one of the compulsory courses at the first level. This course is one of the courses that repeats the basic understanding of mathematics that has actually been obtained in secondary school (matrices and SPL), as well as understanding new material, namely complex numbers and graph theory. This course will teach the concept of Matrix which includes matrix operation, determinant, inverse, and eigenvalue; solving Linear Equation System (SPL) using inverse method and Cramer’s Rules; and graph theory and its application which includes graph coloring, shortest path and huffman code. While Complex Numbers does not use this LMS.

Course Profile and History

This Engineering Mathematics 1 course provides knowledge of basic mathematical concepts regarding matrices, solving SPL and graph theory. This course is a development course from the previous course, namely technical mathematics and appeared when formulating the 2020 curriculum. This is because for the Computer Technology Study Program it is deemed insufficient only in discrete mathematics, but requires an understanding of other mathematics, so it is split into 2, namely Engineering Mathematics 1 and Engineering Mathematics 2. The content of this course is 2 credits which are part of the compulsory course for D3 Computer Technology students at the first level.

Course Relevance (Urgency)

The urgency of the Engineering Mathematics 1 course is that this course is a compulsory course for all D3 Computer Technology students at the first level. By taking this course, students will gain a basic understanding of mathematics that will be needed as a basis in other courses.

Links with other courses

Engineering Mathematics is a type of course that must be taken by all D3 Computer Technology students. This course is held in the first semester, and has no prerequisite courses. While the material, will be applied in several courses in the current semester or the next semester, such as the Electric Circuit course.

Learning Outcomes (CP)

The Learning Outcomes of this course are that students are expected to be able to:

  1. Able to work on problems related to matrix operations.
  2. Able to work on problems related to determinants.
  3. Able to work on problems related to invers matriks.
  4. Able to work on problems related to eigenvalues
  5. Able to work on problems related to solving SPL using matrix inverse.
  6. Able to work on problems related to solving SPL using Cramer’s Rules.

 

Subject

This course will be conducted for 32 meetings in 16 weeks of lectures with the topics for each week as follows: 

  1. Week 1: Introduction to Matrices and Matrix Operations
  2. Week 2 : Determinant
  3. Week 3: Invers Matriks
  4. Week 4 : Eigenvalues
  5. Week 5 : Solving SPL using invers matriks
  6. Week 6 : Solving SPL using Cramer’s Rules
  7. Week 7 : Assessment I
  8. Week 8 : Repetition of the concept of trigonometric values
  9. Week 9 : Complex Number Operations
  10. Week 10 : Converting Complex Numbers
  11. Week 11 : Assessment II
  12. Week 12 : Graph Theory
  13. Week 13: Graph Applications: Graph Coloring and Shortest Path
  14. Week 14: Graph Applications: Huffman Code
  15. Week 15 : Assessment III
  16. Week 16 : Remedial

e-Learning Based Course Learning Plan

E-learning based learning from this course is only available for week 1 to week 6. That is matrix and SPL material with 6 subject matters.

  • Best Practice (Tips and Trick)

To master this course easily, what can be done include:

  1. Learn and understand the basic concepts well and correctly.
  2. Follow and comply well with the agreed lecture rules.
  3. Do a lot of question exercises.
  4. Have more discussions with friends in doing the exercises.

Certification

There are no certifications associated with this course.

Lecture References

Danang Mursita. Matematika untuk Perguruan Tinggi. 2011. Bandung : Rekayasa Sains.
Encu Sutarman. Matematika Teknik. 2013. Yogyakarta : Andi.
Markoni. Pengantar Dasar Matematika Rekayasa. 2014. Yogyakarta : Graha Ilmu.
Heru Nugroho, S.Si., M.T..  Matematika Diskrit dan Implementasinya Dalam Dunia Teknologi Informasi (Bagian 1). 2002. Yogyakarta : Deepublish.
 
Course lecturer

Nama : Lisda Meisaroh
Kode Dosen : LSD
Email : lisda@tass.telkomuniversity.ac.id

Course Content

Operasi Matriks
Hai Anak Teknik!Ketemu lagi dengan Matematika.Untuk Pokok Bahasan kali ini, kita akan mempelajari Operasi Matriks. Sebgelum kita masuk ke operasi matriks, tentunya kita akan berkenalan terlebih dahulu dengan matriks. Setelah itu baru kita akan mempelajari operasi matriks.CAPAIAN PEMBELAJARANMampu memahami dengan lebih baik mengenai konsep matriks. Mampu mengerjakan soal yang berkaitan dengan operasi matriks.MATERI PEMBELAJARANPengenalan matriks Penjumlahan antar matriks Pengurangan antar matriks Perkalian skalar dan perkalian antar matriks

Determinan
Hai Anak Teknik!Ketemu lagi dengan Matematika.Setelah kita mempelajari operasi matriks, untuk pokok bahasan selanjutnya kita akan mempelajari mengenai determinan matriks.CAPAIAN PEMBELAJARANMampu mengerjakan soal yang berkaitan dengan determinanMATERI PEMBELAJARANDeterminan ordo 2x2 Minor M-ij dan Kofaktor C-ij Determinan ordo 3x3 dengan menggunakan ekspansi kofaktor

Invers Matriks
Hai Anak Teknik!Ketemu lagi dengan Matematika.Nah, setelah operasi dan determinan matriks, pokok bahasan berikutnya kita akan mempelajari invers sebuah matriks. Dan invers sebuah matriks ini akan kita gunakan sebagai salah satu metode untuk menyelesaikan Sistem Persamaan Linear (SPL) yang akan kita bahas di pokok bahasan yang akan datang.CAPAIAN PEMBELAJARANMampu mengerjakan soal yang berkaitan dengan invers matriksMATERI PEMBELAJARANMatriks Kofaktor ordo 3x3 Invers matriks ordo 3x3

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  • Instructor
    Telkom University
  • Language
    English