### 2016　Basic Mathematics for System Science

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Undergraduate major in Civil and Environmental Engineering
Instructor(s)
Chijiwa Nobuhiro  Takahashi Akihiro  Muromachi Yasunori
Class Format
Lecture / Exercise
Media-enhanced courses
Day/Period(Room No.)
Mon7-8(M111)  Thr7-8(M111)
Group
-
Course number
CVE.M202
Credits
2
2016
Offered quarter
2Q
Syllabus updated
2016/4/27
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This course is composed of lectures and exercises on basics of (1) eigenvalue problems, (2) systems of ordinary differential equations and (3) statistical methodologies for civil engineering.
Students are expected to be capable of understanding the basics and applying them to simple problems for civil engineering.

### Student learning outcomes

Students are expected to be capable of understanding the basics of (1) eigenvalue problems, (2) systems of ordinary differential equations and (3) statistical methodologies and applying them to simple problems for civil engineering.

### Keywords

Eigenvalue problems, Systems of ordinary differential equations, Statistics, Probability

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills ✔ Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

Lecture and exercises

### Course schedule/Required learning

Course schedule Required learning
Class 1 Basics of matrices and vectors (AT) To understand basics of matrices and vectors
Class 2 Eigenvalues and eigenvectors (AT) To understand eigenvalues and eigenvectors
Class 3 Eigenvalue problems (AT) To enable to solve simple eighevalue problems
Class 4 Basics of ordinary differential equations (AT) To understand basics of ordinary differential equations
Class 5 Basics of systems of ordinary differential equations (AT) To understand basics of systems of ordinary differential equations
Class 6 Homogeneous linear systems of ordinary differential equations (AT) To enable to solve homogeneous linear systems of ordinary differential equations
Class 7 Nonhomogeneous linear systems of ordinary differential equations (AT) To enable to solve nonhomogeneous linear systems of ordinary differential equations
Class 8 Summary of eigenvalue problems and systems of ordinary differential equations (AT) To understand eigenvalue problems and systems of ordinary differential equations
Class 9 Data and Basic Statistics (YM) Understanding the concept of data and basic statistics
Class 10 Concept of Random Variable Understanding the concept of random variable
Class 11 Regression Analysis (YM) Understanding and practicing regression analysis
Class 12 Statistical Estimation (YM) Understanding and practicing statistical estimation
Class 13 Statistical Hypothesis Testing (YM) Understanding and practicing statistical hypothesis testing
Class 14 Experimental Design and Analysis of Variance (YM) Understanding and practicing experimental design and analysis of variance
Class 15 Development of Statistical Approach (YM) Understanding the development of statistical approach

### Textbook(s)

First half: Handouts will be provided by the instructor
Last half: Handouts will be provided by the instructor

### Reference books, course materials, etc.

First half: Erwin Kreyszig, Advanced Engineering Mathematics 10th Edition, John Wiley & Sons (ISBN: 978-0-470-64613-7)
Last half: None

### Assessment criteria and methods

Assignments (40%) and exam (60%)

### Related courses

• LAS.M102 ： Linear Algebra I / Recitation
• LAS.M106 ： Linear Algebra II
• LAS.M108 ： Linear Algebra Recitation II
• CVE.M201 ： Basic Mathematics for Physical Science

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