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) | Understanding basics of matrices and vectors |
Class 2 | Eigenvalues and eigenvectors (NC) | Understanding eigenvalues and eigenvectors |
Class 3 | Basics of ordinary differential equations (NC) | Understanding basics of ordinary differential equations |
Class 4 | Homogeneous ordinary differential equations (NC) | Learning to solve homogeneous linear differential equations. |
Class 5 | Non-homogeneous ordinary differential equations (NC) | Learning to solve nonhomogeneous linear differential equations. |
Class 6 | Systems of ordinary differential equations (NC) | Learning to solve systems of differential equations. |
Class 7 | Summary of eigenvalue problems and systems of ordinary differential equations (NC) | Understanding eigenvalue problems and systems of ordinary differential equations |
Class 8 | Data and Basic Statistics (TS) | Understanding statistical approach |
Class 9 | 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 |
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: Erwin Kreyszig, Advanced Engineering Mathematics 10th Edition, John Wiley & Sons (ISBN: 978-0-470-64613-7)
Last half: None
First half: Assignments (20%) and exam (80%)
Latter half: Assignments (40%) and exam (60%)
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