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 | Data and Basic Statistics (YM) | Understanding the concept of data and basic statistics |
Class 2 | Concept of Random Variable (YM) | Understanding the concept of random variable |
Class 3 | Regression Analysis (YM) | Understanding and practising regression analysis |
Class 4 | Statistical Estimation (YM) | Understanding and practising statistical estimation |
Class 5 | Statistical Hypothesis Testing (YM) | Understanding and practising statistical hypothesis testing |
Class 6 | Experimental Design, Analysis of Variance, and Development of Statistical Approach (YM) | Understanding and practising experimental design, analysis of variance, and development of statistical approach |
Class 7 | Summary of statistical approach (YM) | Understanding statistical approach |
Class 8 | Basics of matrices and vectors (NC) | Understanding basics of matrices and vectors |
Class 9 | Eigenvalues and eigenvectors (NC) | Understanding eigenvalues and eigenvectors |
Class 10 | Basics of ordinary differential equations (NC) | Understanding basics of ordinary differential equations |
Class 11 | Homogeneous ordinary differential equations (NC) | To enable to solve homogeneous ordinary differential equations |
Class 12 | Non-homogeneous ordinary differential equations (NC) | To enable to solve nonhomogeneous ordinary differential equations |
Class 13 | Systems of ordinary differential equations (NC) | To enable to solve systems of ordinary differential equations |
Class 14 | Summary of eigenvalue problems and systems of ordinary differential equations (NC) | Understanding eigenvalue problems and systems of ordinary differential equations |
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.
First half: Handouts will be provided by the instructor
Last half: Handouts will be provided by the instructor
First half: None
Last half: Erwin Kreyszig, Advanced Engineering Mathematics 10th Edition, John Wiley & Sons (ISBN: 978-0-470-64613-7)
First half: Assignments (40%) and exam (60%)
Latter half: Assignments (20%) and exam (80%)
None
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