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Course Description
Study of the basics of mathematics through understanding the concepts of theorems and their application to various problems including real number systems, complexes, vectors, functions, function limits and continuity, function graphs, polar coordinates, function derivatives along with their application to straight line equations, minimum maximum values and rate changes related matters so that students can apply them in the field of mechanical engineering
Program Objectives (PO)
- Kemampuan Identifikasi fakta spesifik mengenai matematika, sains, dan teknik yang diperlukan untuk situasi tertentu (Pengetahuan apa yang dibutuhkan?)
- Mampu mendemonstrasikan penggunaan yang tepat dari fakta-fakta spesifik matematika, sains, dan teknik untuk mendapatkan perilaku kinerja yang diberikan input tertentu.
- Mampu merumuskan masalah (mengidentifikasi kebutuhan dan menganalisis kendala)
- Kemampuan menetapkan kriteria yang sesuai untuk solusi dalam proses evaluasi.
- Mampu merumuskan masalah dan mengidentifikasi masalah / variabel utama
- Kemampuan mengenali beberapa solusi yang diperlukan.
Aktifitas Pembelajaran
-
Pertemuan 1 Dan memahami sistem bilangan rill, ketidaksamaan dan nilai mutlak serta sistem koordinat cartesius. -
Pertemuan 2 Definisi vektor, relasi serta operasi pada aljabar vektor
Materi sistem bilangan -
Pertemuan 3 Operasi aljabar vektor
Materi vektor -
Pertemuan 4 Operasi aljabar vektor. -
Pertemuan 5 Fungsi, mengerti macam-macam fungsi. -
Pertemuan 6 Fungsi, mengerti macam-macam fungsi -
Pertemuan 7 Fungsi, mengerti macam-macam fungsi. -
Pertemuan 8 Ujian Tengah Semester -
Pertemuan 9 Limit fungsi. -
Pertemuan 10 Limit fungsi -
Pertemuan 11 Kontinuitas fungsi di satu titik. -
Pertemuan 12 Definisi dan sifat-sifat turunan dan mampu mencari turunan dari macam-macam fungsi tersebut. -
Pertemuan 13 Definisi dan sifat-sifat turunan dan mampu mencari turunan dari macam-macam fungsi tersebut. -
Pertemuan 14 Aplikasi dari Turunan suatu fungsi. -
Pertemuan 15 Aplikasi dari Turunan suatu fungsi -
Pertemuan 16 UJIAN AKHIR SEMESTER (UAS)
References
- [1]. Spiegel, Murray R, Advanced Calculus, Schaum’s Series, Mc. Graw Hill, Singapore, 1981 [2]. Kreyzig Erwin, Advance Engineering Mathematic, Edisi ke-7, John Wiley, 1993 [3]. Paul A. Calter, MSME & Michael A. Calter, PH.D, Technical Mathematics with Calculus, 2011, John Willey & Sons Inc. Wesleyan University, United Stated of America [4]. Huw Fox & W. Bolton, Mathematics for Engineers and Technologists, 2002, Elsevier Science & Technology Books, ISBN: 0750655445
- [2] D. Varberg, E. J. Purcell, S.E. Rigdon, Calculus, 9th ed., PEARSON, Prentice Hall, 2007.
- [3] Howard Anton,Elementary Linear Algebra 9th Edition, Wiley, 2005.
- [3] Thomas, 7th ed dan Howard Anton, 10th ed
- [4]. Huw Fox & W. Bolton, Mathematics for Engineers and Technologists, 2002, Elsevier Science & Technology Books, ISBN: 0750655445
Lecturer
Difficult Things About Education.
$75$10
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