{"id":15289,"date":"2024-07-09T09:06:31","date_gmt":"2024-07-09T09:06:31","guid":{"rendered":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/course\/matematika-teknik-lanjutan-memahami-nilai-eigen-metode-determinan-invers-matriks-dan-cramers-rules-dalam-menyelesaikan-sistem-persamaan-linear-2\/"},"modified":"2025-04-25T01:45:43","modified_gmt":"2025-04-25T01:45:43","slug":"advanced-engineering-math-understanding-eigenvalues-determinant-method-matrix-inverses-and-cramers-rules-in-solving-systems-of-linear-equations-2","status":"publish","type":"courses","link":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/course\/advanced-engineering-math-understanding-eigenvalues-determinant-method-matrix-inverses-and-cramers-rules-in-solving-systems-of-linear-equations-2\/","title":{"rendered":"Advanced Engineering Math: Understanding Eigenvalues, Determinant Method, Matrix Inverses, and Cramer’s Rules in Solving Systems of Linear Equations"},"content":{"rendered":"
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Source : onlinelearning.telkomuniversity.ac.id<\/a><\/span><\/div>\n<\/blockquote>\n
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Hi Engineering Kids!<\/div>\n
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Welcome to Engineering Math 1<\/div>\n<\/div>\n<\/div>\n
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<\/u><\/b>Course Identity<\/span><\/strong>
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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 eigen value<\/a>; solving Linear Equation System (SPL) using inverse method and Cramer\u2019s Rules; and graph theory and its application which includes graph coloring, shortest path and huffman code. While Complex Numbers does not use this LMS.<\/p>\n

Course Profile and History<\/strong><\/span><\/p>\n

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This Technical Mathematics 1 course provides knowledge of basic mathematical concepts regarding matrices, solving SPL and graph theory. <\/span>This course is a development course from the previous course, namely technical mathematics and emerged during the formulation of 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 is part of the compulsory course for D3 Computer Technology students at the first level.<\/p>\n

Course Relevance (Urgency)<\/span><\/strong><\/p>\n

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.<\/p>\n<\/div>\n<\/div>\n

Links to other courses<\/strong><\/span><\/p>\n<\/div>\n

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. Meanwhile, the material will be applied in several courses in the current semester or the next semester, such as the Electric Circuit course.<\/div>\n
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Learning Outcomes (LO)<\/strong><\/span><\/p>\n

The Learning Outcomes of this course are that students are expected to be able to:<\/p>\n

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  1. Able to work on problems related to matrix operations.<\/span><\/li>\n
  2. Able to work on problems related to determinants.<\/span><\/li>\n
  3. Able to work on problems related to inverses.
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  4. Able to work on problems related to eigenvalues
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  5. Able to work on problems related to solving SPL using inverse matrix.
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  6. Able to work on problems related to solving SPL using Cramer\u2019s Rules.<\/span><\/li>\n<\/ol>\n

    Subject matter<\/strong><\/span><\/p>\n

    This course will be conducted for 32 meetings in 16 weeks of lectures with the topics for each week as follows:<\/p>\n

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    1. Week 1: Introduction to Matrices and Matrix Operations<\/li>\n
    2. Week 2: Determinants<\/li>\n
    3. Week 3: Inverse Matrix<\/li>\n
    4. Week 4: Eigenvalues<\/li>\n
    5. Week 5 : Solving SPL using matrix inverse<\/li>\n
    6. Week 6 : Solve SPL using Cramer\u2019s Rules<\/li>\n
    7. Week 7 : Assessment I<\/li>\n
    8. Week 8: Repetition of the concept of trigonometric values<\/li>\n
    9. Week 9: Complex Number Operations<\/li>\n
    10. Week 10: Converting Complex Numbers<\/li>\n
    11. Week 11: Assessment II<\/li>\n
    12. Week 12: Graph Theory<\/li>\n
    13. Week 13: Graph Applications: Graph Coloring and Shortest Path<\/li>\n
    14. Week 14: Graph Applications: Huffman Code<\/li>\n
    15. Week 15: Assessment III<\/li>\n
    16. Week 16: Remedial<\/li>\n<\/ol>\n

      e-Learning Based Course Learning Plan<\/strong><\/span><\/p>\n

      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.<\/p>\n

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      • Best Practice (Tips and Trick)<\/u><\/b><\/li>\n<\/ul>\n

        To master this course easily, what can be done include:<\/p>\n

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        1. Learn and understand the basic concepts well and correctly.<\/li>\n
        2. Follow and comply well with the agreed lecture rules.<\/li>\n
        3. Do lots of question exercises.<\/li>\n
        4. Increase discussion with friends in working on problem exercises.<\/li>\n<\/ol>\n

          Certification<\/u><\/b><\/p>\n

          There are no certifications associated with this course.<\/p>\n

          Course Reference<\/strong><\/span><\/p>\n

          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..\u00a0 Matematika Diskrit dan Implementasinya Dalam Dunia Teknologi Informasi (Bagian 1). 2002. Yogyakarta : Deepublish.<\/div>\n
          Course lecturer<\/strong><\/span><\/div>\n

          Name : Lisda Meisaroh
          Lecturer\u2019s Code : LSD
          Email : lisda@tass.telkomuniversity.ac.id<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

          \u00a0 Source : onlinelearning.telkomuniversity.ac.id \u00a0 \u00a0 Hi Engineering Kids! Welcome to Engineering Math 1 Course Identity \u00a0 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 […]<\/p>\n","protected":false},"author":1,"featured_media":14388,"template":"","course-category":[183,184],"course-tag":[],"class_list":["post-15289","courses","type-courses","status-publish","has-post-thumbnail","hentry","course-category-mooc-en","course-category-mooc-fakultas-ilmu-terapan-fit-en"],"acf":[],"_links":{"self":[{"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/courses\/15289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/courses"}],"about":[{"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/types\/courses"}],"author":[{"embeddable":true,"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/users\/1"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/media\/14388"}],"wp:attachment":[{"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/media?parent=15289"}],"wp:term":[{"taxonomy":"course-category","embeddable":true,"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/course-category?post=15289"},{"taxonomy":"course-tag","embeddable":true,"href":"https:\/\/ocw-mirror.telkomuniversity.ac.id\/en\/wp-json\/wp\/v2\/course-tag?post=15289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}