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.
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.
Eigenvalue problems, Systems of ordinary differential equations, Statistics, Probability
✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
Lecture and exercises
Course schedule | Required learning | |
---|---|---|
Class 1 | Basics of matrices and vectors (NC) | To understand basics of matrices and vectors |
Class 2 | Eigenvalues and eigenvectors (NC) | To understand eigenvalues and eigenvectors |
Class 3 | Eigenvalue problems (NC) | To enable to solve simple eigenvalue problems |
Class 4 | Basics of ordinary differential equations (NC) | To understand basics of ordinary differential equations |
Class 5 | Basics of systems of ordinary differential equations (NC) | To understand basics of systems of ordinary differential equations |
Class 6 | Homogeneous linear systems of ordinary differential equations (NC) | To enable to solve homogeneous linear systems of ordinary differential equations |
Class 7 | Nonhomogeneous linear systems of ordinary differential equations (NC) | To enable to solve nonhomogeneous linear systems of ordinary differential equations |
Class 8 | Summary of eigenvalue problems and systems of ordinary differential equations (NC) | Understanding 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 (YM) | 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 |
First half: Handouts will be provided by the instructor
Last half: Handouts will be provided by the instructor
First half: Erwin Kreyszig, Advanced Engineering Mathematics 10th Edition, John Wiley & Sons (ISBN: 978-0-470-64613-7)
Last half: None
Assignments (40%) and exam (60%)
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