2025 (Current Year) Faculty Courses School of Environment and Society Undergraduate major in Civil and Environmental Engineering
Basic Mathematics for System Science
- Academic unit or major
- Undergraduate major in Civil and Environmental Engineering
- Instructor(s)
- Toru Seo / Takashi Miyamoto
- Class Format
- Lecture/Exercise (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 5-6 Tue / 5-6 Fri
- Class
- -
- Course Code
- CVE.M202
- Number of credits
- 110
- Course offered
- 2025
- Offered quarter
- 2Q
- Syllabus updated
- Mar 19, 2025
- Language
- Japanese
Syllabus
Course overview and goals
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.
Course description and aims
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
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Lecture and exercises
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Basics of matrices and vectors (TM) | Understanding basics of matrices and vectors |
| Class 2 | Eigenvalues and eigenvectors (TM) | Understanding eigenvalues and eigenvectors |
| Class 3 | Basics of ordinary differential equations (TM) | Understanding basics of ordinary differential equations |
| Class 4 | Homogeneous ordinary differential equations (TM) | Learning to solve homogeneous linear differential equations. |
| Class 5 | Non-homogeneous ordinary differential equations (TM) | Learning to solve nonhomogeneous linear differential equations. |
| Class 6 | Systems of ordinary differential equations (TM) | Learning to solve systems of differential equations. |
| Class 7 | Summary of eigenvalue problems and systems of ordinary differential equations (TM) | Understanding eigenvalue problems and systems of ordinary differential equations |
| Class 8 | Basics of Probability and Statistics (TS) | Understanding statistical approach |
| Class 9 | Stochastic variable and probability distribution (TS) | Understanding the concept of probability distribution |
| Class 10 | Statistical Estimation (TS) | Understanding and practicing statistical estimation |
| Class 11 | Statistical Hypothesis Testing (TS) | Understanding and practicing statistical hypothesis testing |
| Class 12 | Regression Analysis (TS) | Understanding and practicing regression analysis |
| Class 13 | Advanced Statistical Approach (TS) | Understanding advanced statistical approach |
| Class 14 | Summary of Statistical Approach (TS) | Understanding the concept of data and basic statistics |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Handouts will be provided by the instructors
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
Evaluation methods and criteria
First half: Assignments (20%) and exam (80%)
Latter half: Assignments (20%) and exam (80%)
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
None
Other
None