Pengantar Teknik Industri - 09 - Keilmuan Matematika

1. KEILMUAN
MATEMATIKA,
STATISTIKA DAN
KOMPUTER BAGI
TEKNIK INDUSTRI
Arif Rahman

2. INDUSTRIAL ENGINEERING
..is concerned with the design, improvement, and
installation of integrated systems of men, materials,
information, energy, and equipments. It draws
upon specialized knowledge and skill in the
mathematical, physical and social sciences
together with the principles and methods of
engineering analysis and design to specify, predict
and evaluate the result to be obtained from such
systems

3. Mathematical
Physical Sciences
Social Sciences
Engineering
Knowledge & Skill
Industrial
Engineering
Integrated
Systems
Design
Improvement Installation
Specify
Predict
Evaluate
Optimal
Result

4. TEKNIK INDUSTRI

5. CABANG KEILMUAN MATEMATIKA
MATHEMATICS
ALGEBRA GEOMETRY
CALCULUS
PROBABILITY
& STATISTICS
COMPUTER
SCIENCES
ARITHMETIC
LINEAR
ALGEBRA
COMBINA-
TORIC
SERIES
DIFFERENTIAL
& INTEGRAL
FUNCTION
PROBABILITY
THEORY
STATISTICS
INFORMATION
& COMMUNI-
CATION
COMPUTER
SCIENCES
TRIGONO-
METRY
GEOMETRY
TOPOLOGY
NUMBER
SYSTEMS
NUMBER
THEORY

6. KURIKULUM TEKNIK INDUSTRI UB

7. MATEMATIKA DALAM KURIKULUM

8. DAN DISKUSIKAN :
MATEMATIKA
DALAM
KURIKULUM
TEKNIK INDUSTRI
Apa saja ilmu matematika, statistika dan ilmu komputer yang
sebaiknya termuat dalam kurikulum Teknik Industri Universitas
Brawijaya untuk menunjang kemampuan dalam merancang sistem
termasuk lingkup perancangan produk, perencanaan proses,
perancangan tata letak, perencanaan perusahaan dan perancangan
rantai pasok?

9. MATHEMATICAL BRANCHES

10. MATHEMATICS BRANCHES
• FOUNDATIONS (Logic and Set Theory)
• Mathematical Logic or Symbolic Logic
• Set Theory
• ALGEBRA (Symmetry, Patterns, Discrete Sets & Algebraic Operation)
• Number Theory  General Algebraic Systems
• Group Theory  Algebraic Geometry
• Lie Groups  Linear Algebra
• Commutative Rings  Category Theory
• Associative Ring Theory  K-Theory
• Nonassociative Ring Theory  Combinatorics
• Field Theory  Ordered Sets
• GEOMETRIC (Points, Lines, Angles, Shapes, Surfaces & Solids Properties)
• Geometry  General Topology
• Convex and Discrete Geometry  Algebraic Topology
• Differential Geometry  Manifolds
Sumber : www.math-atlas.org

11. MATHEMATICS BRANCHES
• CALCULUS
Real Analysis (Series, Limits, Derivatives, Differential and Integral
Functions)
• Real Functions  Finite Differences and Functional Equations
• Measure Theory and Integration  Sequences and Series
• Special Functions
Complex Variables (Imaginary Number and Complex Functions)
• Complex Variables
• Potential Theory
• Several Complex Variables
Differential and Integral Equations (Relationship between Functions and
their Derivatives or Integrals)
• Ordinary Differential Equations Integral Equations
• Partial Differential Equations  Calculus of Variations and Optimization
• Dynamical Systems  Global Analysis
Sumber : www.math-atlas.org

12. MATHEMATICS BRANCHES
• CALCULUS
Functional Analysis (Vector Spaces of Functions, Linear Maps)
• Functional Analysis  Integral Transforms
• Fourier Analysis  Operator Theory
• Abstract Harmonic Analysis
• STATISTICS
• Stochastic Processes  Descriptive Statistics
• Sampling Theory  Inferential Statistics
• Probability Theory  Nonparametric Statistics
• NUMERICAL ANALYSIS AND OPTIMIZATION
• Numerical Analysis
• Approximations and Expansions
• Operations Reasearch
• COMPUTER SCIENCES
• Computer Science
• Information and Communication
• System Theory and Control Study
Sumber : www.math-atlas.org

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