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2018　Basic Mathematics for System Science

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Academic unit or major
Undergraduate major in Civil and Environmental Engineering
Instructor(s)
Chijiwa Nobuhiro  Muromachi Yasunori 
Class Format
Lecture / Exercise     
Media-enhanced courses
Day/Period(Room No.)
Mon7-8(M112)  Thr7-8(M112)  
Group
-
Course number
CVE.M202
Credits
2
Academic year
2018
Offered quarter
2Q
Syllabus updated
2018/3/20
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 Data and Basic Statistics (YM) Understanding the concept of data and basic statistics
Class 2 Concept of Random Variable Understanding the concept of random variable
Class 3 Regression Analysis (YM) Understanding and practicing regression analysis
Class 4 Statistical Estimation (YM) Understanding and practicing statistical estimation
Class 5 Statistical Hypothesis Testing (YM) Understanding and practicing statistical hypothesis testing
Class 6 Experimental Design and Analysis of Variance (YM) Understanding and practicing experimental design and analysis of variance
Class 7 Development of Statistical Approach (YM) Understanding the development of statistical approach
Class 8 Summary of Statistical Analysis (YM) Understanding statistical analysis
Class 9 Basics of matrices and vectors (NC) To understand basics of matrices and vectors
Class 10 Eigenvalues and eigenvectors (NC) To understand eigenvalues and eigenvectors
Class 11 Eigenvalue problems (NC) To enable to solve simple eigenvalue problems
Class 12 Basics of ordinary differential equations (NC) To understand basics of ordinary differential equations
Class 13 Basics of systems of ordinary differential equations (NC) To understand basics of systems of ordinary differential equations
Class 14 Homogeneous linear systems of ordinary differential equations (NC) To enable to solve homogeneous linear systems of ordinary differential equations
Class 15 Nonhomogeneous linear systems of ordinary differential equations (NC) To enable to solve nonhomogeneous linear systems of ordinary differential equations

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

Prerequisites (i.e., required knowledge, skills, courses, etc.)

None

Other

None

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