COMPETENCY-BASED SYLLABUS

Department / PS : Mechanical Engineering.Course : Algebra Linear. Code : MD. 3203.SKS : 3 (SKS).Semester : III (three).Prerequisite : Calculus I.

Calculus II.

Standart Competition : can know, understand and apply the theorems (rules) the foundations of mathematics such as the use of matrices, determinants and inverses in solving the system of linear equations, etc..

No Basic Competencies Indicators Basic materials1 2 3 41 1. Can know and

understand the theorems of the matrix.

1. Can explain and perform matrix operations

.

1.1 Definition of Matrix.1.2 Types of Special

Matrices.1.3 The similarity of two

matrices.1.4 Operations in Matrix

Algebra.1.5 Transpose Matrices.1.6 Elementary

Operations Transformation or rows and columns in a matrix.

1.7 Matrix Equivalent.1.8 Exercise Problem

Solved.

2 2. Can know, understand the determinants.

2. Can explain and determine the value of the determinant

.

2.1 Definition of Determinants.

2.2 Determining Price Determinants.

2.3 Determinants Properties.

2.4 Exercise Problem Solved.

3 4. Can know, understand the inverse matrix

4. Can explain and determine the value of the inverse matrix.

3.1 Understanding Inverse Matrix.

3.2 Determining the inverse matrix..

3.3 Exercise Problem

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Solved..

4 5. Can know and understand the various systems of linear equations.

4. Can apply the theorem of matrix, linear transformation and the theorem of determinants in solving systems of linear equations

.

4.1 Definition of Systems of Linear Equations..

4.2 Gauss elimination method..

4.3 Method of Operation Line Element..

4.4 Method of Cramer..4.5 Method of Inverse

Matrices..4.6 Exercise Problem

Solved..

5 6. Can mengetehui and understanding the basics of complex numbers.

5. Can explain and calculate the operating doing on complex numbers.

5.1 Understanding Complex Numbers..

5.2 Figure Complex Numbers

5.3 Operation Count On Numbers Complex.

5.4 Complex Numbers in Polar Form..

5.5 Exercise Problem Solved..

.

6 7. Can know and understand about the vector.

6. Can be explained and doingvector arithmetic operations.

6. 1 Definitions.Figure

6.2 Vector.6.3 Operation Count

Vector.6.4 Vector Properties.6.5 Declaring a vector.6.6 Multiplication in vector

algebra.6.7 Multiplication Cross.

Exercise 6.8 Problem Solved.

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EVENTS UNIT LECTURE (SAP)

I. Identity of Subjects.Department / PS : Mechanical Engineering.Courses : Linear AlgebraCode : MD. 3203.Credits : 3 (SKS).Semester : III (three).Prerequisites : Calculus I.

Calculus II.

II. Course Description.This course discusses the matrix, transpormasi linearr, determinants, systems of linear equations, complex numbers and vector arithmetic.

Weeks to

Competency Standards

Basic Competen

cies

Indicators Basic materials

Learning Experienc

e

allocation of Time

Media / Source

1 2 3 4 5 6 7 8I 1. Introducti

on.2. Lectures

contract.

1x3x50 minutes

II, III, IV

I. After one semester following the course of this third semester student of Mechanical Engineering study program can know, understand and

1. Can know and understand the matrix theorem.

1. Can explain and perform matrix operations.

1.1 Definition of Matrix.

1.2 Types of Special Matrices.

1.3 The similarity of two matrices.

1.4 Operations in Matrix Algebra.

1.5 Transpose matrix.

1.6 Elementary Operations Transpormasi or Rows and

2x3x50 minutes

1, 3, 4, 10

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apply the theorems (rules) the foundations of mathematics such as the use of matrices, determinants and inverses in solving systems of linear equations, etc..

Columns In A Matrix.

1.7 Matrix of Equivalent.

1.8 Exercise Problem Solved.

V, VI 2.Can know and understand the determinants.

2. Can explain and determine the value of the determinant.

2.1 Definition of Determinants.

2.2 Determining Price Determinants.

2.3 Determinants properties.

2.4 Exercise Problem Solved.

2x3x50 minutes

1, 3, 4

VII 3. Can know and understand the inverse matrix.

3. Can explain and determine the value of the inverse matrix.

3.1 Definition of Inverse Matrix.

3.2 Determining the inverse matrix.

3.3 Exercise

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problem Solved.

VIII UTS I 1x3x50 minutes

IX, X, XI

4. Can know and understand the various systems of linear equations.

4. Can apply the theorem of matrix, linear transformation and the theorem of determinants in solving systems of linear equations.

4.1 Definition of Systems of Linear Equations.

4.2 Gauss elimination method.

4.3 Method of Operation Line Element

4.4 Method of Cramer.

4.5 Method of Inverse Matrices.

4.6 Exercise Problem Solved.

3x3x50 minute

1, 3, 4, 7, 8

XII, XIII

5.Can know and understand the basis of complex numbers.

5. Can explain and perform arithmetic operations on complex numbers

5.1 Definition of Complex Numbers.Figure

5.2 Complex Numbers.

5.3 Operation Count On Numbers Complex.

5.4 Complex Numbers in Polar Form.

5.5 Exercise Problem

Solved.

2x3x50 minute

1, 4, 9

x

XIV, XV

6. Can know and understand about the vector

.

6. Can be explained and an doing vector arithmetic operations.

6.1 Definitions

6.2 Figure Vector.

6.3 Operatin Count Vector.

6.4 Vector Properties.

6.5 Declaring a vector.

6.6 Multiplication in vector algebra.

6.7 Multiplication Cross. Exercise

6.8 Problem Solved.

2x3x50 minute

1, 6, 9, 10

XVI UTS II 1x3x50 minute

Daftar Pustaka:1. Anton, H. 1997. Aljabar Linear Elementer (terjemahan). Jakarta: Erlangga. Edwin J 2. Edwin J Purcell, dale varberg, “Kalkulus dan Geometri Analitis”, Jilid I Edisi 4

Erlangga.3. Ismail Basari,”Matematika I”.4. N. Soemarjo, Dra . Prof, “Kalkulus Dasar”, Lembaga Penerbit Fakultas Ekonomi

Universitas Indonesia.5. Purell, Edwin J, “Calculus With Analyti Geometry”, Prentie-Hall, Inc, 1984.6. Soehardjo, “Analisa Vektor”.

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7. Sucipto E, “Matematika Untuk Perguruan Tinggi”.8. Thomas, “Calculus and Analytic Geometri”.9. Yoewono Moekidam, “Matematika II”, Bahan Kuliah Matematika Untuk Fakultas

Teknologi.10. Yusuf Yahya, Suryadi HS, Agus S, “Matematika Dasar Untuk Perguruan Tinggi”,

Serial Matematika dan Komputer Aski, Ghalia Indonesia.

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CONTRACT LECTURES

The name of the course : Linear Algebra.Subject Code : MD 3203.Semester : III (three).Meeting days / hours : Monday, 11:50 to 14:20 pm.Meeting place : lecture room DE.2 Department of Mechanical Engineering Faculty of Engineering, University of Udayana.Lecturers : Team Teaching Linear Algebra

1.BENEFITS OF COURSE

This course is useful as a basis for knowing and understanding the theorems (rules) the foundations of mathematics.

2. DESCRIPTION OF SUBJECTS

This course discusses the matrix, transpormasi linear, determinant, inverse matrices, systems of linear equations, complex numbers and vector arithmetic.

1. Basic Competencies and Competency StandardsCompetency Standards:Can know, understand and apply the theorems (rules) the foundations of mathematics such as the use of a matrix, determinant and inverse matrix in solving systems of linear equations, etc.

Basic Competencies:• Able to learn and understand the theorems of the matrix.• Able to learn and understand the determinants.• Able to learn and understand the inverse matrix.• Able to learn and understand the various systems of linear equations.• Can to learn and understanding the basics of complex numbers.• Able to learn and understand about the vector

1. ORGANIZATION OF MATTER

Course material consists of:1. Matrix. 1.1 Definition of Matrix. 1.2 Special Types of Matrices. 1.3 The similarity of two matrices. 1.4 Operations in Matrix Algebra. 1.5 Transpose matrix. 1.6 Elementary Operations Transformation or rows and columns in a matrix. 1.7 Matrix of Equivalent.

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2. Determinant.3.1 Introduction..3.2 Determining Price Determinants.3.3 Determinants Properties..3.4 Exercise Problem Solved.

3. Inverse matrix.3.1 Definition of Inverse Matrices..3.2 Determining the inverse matrix.

3.3 Exercise Problem Solved.

4. Systems of Linear Equations. 4.1 Definition of Systems of Linear Equations.. 4.2 Gauss elimination method. 4.3 Method of Operation Line Element..4.4 Method of Cramer.4.5 Method of Inverse Matrices.

4.6 Exercise Problem Solved.

5. Complex Numbers.5.1 Definition of Complex Numbers.5.2 Figure Complex Numbers..5.3 Operation Count On Numbers Complex..5.4 Complex Numbers in Polar Form.

5.5 Exercise Problem Solved 6. Calculate the vector.

6.1 Definitions6.2 Figure Vector.6.3 Operation Count Vector.6.4 Vector Properties..6.5 Declaring a vector.6.6 Multiplication in vector algebra.6.7 Multiplication Cross.6.8 Exercise Problem Solved.

2. strategies lectureLectures strategies used are: Lecture : 11:50 to 13:30 pm. Discussion : 13:30 to 14:20 pm.

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2. Material / Reading Material Lecture

Basic textbook in this course are:1. Anton, H. 1997. Aljabar Linear Elementer (terjemahan). Jakarta: Erlangga. Edwin

J 2. Edwin J Purcell, dale varberg, “Kalkulus dan Geometri Analitis”, Jilid I Edisi 4

Erlangga.3. Ismail Basari,”Matematika I”.4. N. Soemarjo, Dra . Prof, “Kalkulus Dasar”, Lembaga Penerbit Fakultas Ekonomi

Universitas Indonesia.5. Purell, Edwin J, “Calculus With Analyti Geometry”, Prentie-Hall, Inc, 1984.6. Soehardjo, “Analisa Vektor”.7. Sucipto E, “Matematika Untuk Perguruan Tinggi”.8. Thomas, “Calculus and Analytic Geometri”.9. Yoewono Moekidam, “Matematika II”, Bahan Kuliah Matematika Untuk Fakultas

Teknologi.10. Yusuf Yahya, Suryadi HS, Agus S, “Matematika Dasar Untuk Perguruan Tinggi”,

Serial Matematika dan Komputer Aski, Ghalia Indonesia.

2. Tasks

•The task independently given on each end of the chapter, in order to work at home and the results are collected at the start of classes next week.

Task groups will be given two weeks prior to UTS I and UAS, the results collected at UTS I and UAS.

3. assessment criteria

assessment criteria used were: Presence (min. 75%) : 5% Task : 15% Marquis + Discussion (Active) : 15% UTS : 30% UAS : 35%

9. Schedule of Lectures

The show follows the lecture schedule Tuition Units (SAP), except on the day of course is a public holiday (as per circular of the University), the day his successor will be determined in accordance with an agreement between the faculty and students.

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10. General rules1. Students must attend classes> 75% of faculty meetings. 2. Students should not be too late> than 15 minutes. 3. Students are well-dressed, polite, and use the shoes. 4. Students are prohibited from smoking in the classroom as a lecture. 5. Mobile phones, music players and the like must be turned off when a lecture. 6. Duties collected under the agreement and collected at least 10 minutes of time

lecturer entered the classroom or start giving lectures and assignments can not be followed.

7. At Marquis, UTS and UAS students are prohibited from working.

11. sanctions1. If rule number 1 is violated, then the student is not allowed to follow the UAS. 2. If the number 2 rule is violated, then the student is considered absent. 3. If the rules number 3-5 is violated, then the student will be excluded from classroom

lectures and is considered absent. 4. If rule number 6 is violated, then the student is considered not collect duties. 5. If rule number 7 is violated, then the students concerned will be reduced or canceled

exam.

Bukit Jimbaran, 30 Juni 2011Dosen pengajar Koordinator mahasiswa

I Gusti Ngurah Putu Tenaya, ST, MT …………………………….NIP. 19680726 199603 1 001 NIM. ……………………

Mengetahui,Ketua Jurusan Teknik Mesin

Ir. Made Suarda, MEngNIP. 19650326 199003 1 002

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