UNIVERSITY OF PGRI PASURUAN
(STKIP PGRI PASURUAN) STUDY PROGRAM OF MATHEMATICS EDUCATION EVEN SEMESTER 2012-2013 TOPIC OF LECTURES OF VECTOR ANALYSIS |
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| Subject : | Vector Analysis |
| Semester Credit System : | 3 |
| Semester : | VI (Even) |
| Academic Year : | 2012-2013 |
| Competency Standards : | Understanding the concepts of vector and applying them. |
| Basic Competence : | Understanding a vector and a scalar, vector algebra and its properties, vector differentiation, differential operator, integral vector, and line integrals, surface integrals, volume integrals, Green theorem, Gauss difergensi theorem, Stokes theorem. |
| Description : | Definition Of A Vector And A Scalar, Definition Of Two Vectors A And B Are Equal, Definition Of Vector A And Vector –A, Definition Of The Sum Or Resultant Of Vectors A And B Definition Of The Product Of A Vector A By A Scalar M, Definition Of The Difference Of Vectors A And B, Law Of Vector Algebra, Definition Of A Unit Vector, The Rectangular Unit Vectors, Components Of A Vector, The Position Vector Or Radius Vector R, Scalar Field, And Vector Field, The Dot Product, Laws Of The Dot Product, Cross Product, And Laws Of Cross Product, Triple Product, Laws Of Triple Product, Ordinary Derivatives Of Vectors, Space Curves, Continuity And Differentiability, And Differentiation Formulas, Partial Derivatives Of Vectors, Differential Geometr, And Mechanic, The Vector Differential Operator Del, The Gradient, The Divergence, The Curl, Formulas Involving Del., And Invariance, Ordinary Integrals Of Vector, And Line Integrals, Surface Integrals, And Volume Integrals, Divergence Theorem, Stokes' Theorem, And Related Integral Theorems, Curvilinear Coordinates. |
| Mata Kuliah Prasyarat : | MKK 407 (Kalkulus I), MKK 408 (Kalkulus II), MKK 417 (Aljabar Linier Elementer), MKK 410 (Geometri I), MKK 411 (Geometri II). |
| Main Reference : | R. Spiegel, Murray. , 1995. Introduction Analysis Vector and Tensor Analysis. New York: McGraw Hill. |
| Supporting Reference : | H.B. Philips. , 1964. Vector Analysis. John Wiley and Sons.W. Kaplan. , 1972. Advanced Calculus 2nd Edition. New York: Addison Wesley. |
| Lecturer : | Ikhsan, S.Pd., M.Pd. |
| Study Program : | S1 Mathematics Education. |
| Institution : | University Of PGRI Pasuruan (STKIP PGRI PASURUAN). |
UNIVERSITAS PGRI PASURUAN
(STKIP PGRI PASURUAN) PROGRAM STUDI PENDIDIKAN MATEMATIKA SEMESTER GENAP 2012-2013 TOPIK PERKULIAHAN ANALISIS VEKTOR |
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| Mata Kuliah : | Analisis Vektor |
| SKS : | 3 |
| Semester : | VI (Genap) |
| Tahun Akademik : | 2012-2013 |
| Standar Kompetensi : | Memahami konsep-konsep tentang vektor dan mengaplikasikannya. |
| Kompetensi Dasar : | Memahami vektor dan skalar, aljabar vektor, dan sifat-sifatnya, diferensiasi vektor, operator diferensial dan penggunannya, integral vektor, dan integral garis, integral permukaan, integral volume, teorema green, teorema difergensi gauss, teorema stokes. |
| Mata Kuliah Prasyarat : | MKK 407 (Kalkulus I), MKK 408 (Kalkulus II), MKK 417 (Aljabar Linier Elementer), MKK 410 (Geometri I), MKK 411 (Geometri II). |
| Deskripsi : | Definisi vektor dan skalar, definisi dua vektor sama dan dua vektor berlawanan, definisi jumlah dan selisih dua vektor, definisi perkalian skalar dan vektor, teorema aljabar dasar vector, definisi vektor satuan, komponen-komponen sebuah vektor, medan skalar, medan vektor, definisi dot product, definisi cross product, teorema dalam dot product, teorema cross product, hasil kali tripel, teorema dalam hasil kali tripel, diferensiasi vektor, turunan biasa dari vektor, kurva-kurva ruang, kontinuitas dan diferensiabilitas, teorema diferensiasi, turunan parsial dari vektor-vektor, geometri diferensial, mekanika, operator diferensial vektor del, gradien, divergensi, curl, rumus-rumus yang mengandung operator del, invarians, integral biasa dari vektor, integral garis, integral permukaan, integral volum, teorema divergensi, teorema stokes, teorema integral yang berkaitan, koordinat kurva linear. |
| Buku Rujukan Utama : | R. Spiegel, Murray. 1995. Vector Analysis and Introduction Tensor Analysis. New York: McGraw Hill. |
| Buku Pendukung : | H.B. Philips. 1964. Vector Analysis. John Wiley and Sons. W. Kaplan. 1972. Advanced Calculus 2nd Edition. New York: Addison Wesley. |
| Pengampu : | Ikhsan, S.Pd., M.Pd. |
| Program Studi : | S1 Pendidikan Matematika. |
| Institusi : | STKIP PGRI PASURUAN. |
