Homepage » ALL COURSE » College of Science » Department of Applied Mathematics » Combinational Design | Department of Applied Mathematics Prof. Hung-Lin Fu
本課程是由 國立陽明交通大學應用數學系提供。
This is an introductory course of Combinatorial Designs.
Mainly, basic designs are introduced: Latin Squares, t-designs, Pooling designs and experimental designs.
We are aiming to learn also their applications.
Textbook:
Lecture Notes by Hung-Lin Fu.
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| Instructor(s) | Department of Applied Mathematics Hung-Lin Fu |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 109 Academic Year |
| Level | Master student |
| Prior Knowledge | Linear Algebra (I) and (II), Undergraduate Algebra (I), Discrete Mathematics |
| Related Resources | Course Video Course Syllabus Course Handout |
| Week | Course Content | Course Video |
|---|---|---|
| Introduction to combinatorial design 1 | Watch Online | |
| Introduction to combinatorial design 2 | Watch Online | |
| Introduction of background knowledge: Algebra | Watch Online | |
| Latin square 1 | Watch Online | |
| Latin square 2 | Watch Online | |
| Partial Latin squares 1 | Watch Online | |
| Partial Latin squares 2 | Watch Online | |
| Critical sets of Latin squares | Watch Online | |
| Orthogonal Latin squares 1 | Watch Online | |
| Orthogonal Latin squares 2 | Watch Online | |
| Orthogonal Latin squares 3 | Watch Online | |
| Transversals of Latin squares 1 | Watch Online | |
| Transversals of Latin squares 2 | Watch Online | |
| Extremal set theory 1 | Watch Online | |
| Extremal set theory 2 | Watch Online | |
| Block design 1 | Watch Online | |
| Block design 2 | Watch Online | |
| Steiner triple system 1 | Watch Online | |
| Steiner triple system 2 | Watch Online | |
| Steiner triple system 3 | Watch Online | |
| Steiner triple system 4 | Watch Online | |
| Steiner triple system 5 | Watch Online | |
| Constructing designs using Latin squares 1 | Watch Online | |
| Constructing designs using Latin squares 2 | Watch Online | |
| Disproof of Euler’s conjecture 1 | Watch Online | |
| Disproof of Euler’s conjecture 2 | Watch Online | |
| On the construction of 2-(v, 4, 1) designs | Watch Online | |
| Packing and covering | Watch Online | |
| t-design 1 | Watch Online | |
| t-design 2 | Watch Online | |
| Hadamard matrices 1 | Watch Online | |
| Hadamard matrices 2 | Watch Online | |
| Hadamard matrices 3 | Watch Online |
課程目標
This is an introductory course of Combinatorial Designs.
Mainly, basic designs are introduced: Latin Squares, t-designs, Pooling designs and experimental designs.
We are aiming to learn also their applications.
課程章節
| 單元主題 |
| 組合設計簡介 |
| 拉丁方陣 |
| 正交拉丁方陣 |
| 極集合論 |
| 區集設計 |
| Steiner triple system |
| 反證歐拉猜想 |
| Hadamard matrices |
課程書目
Lecture Notes by Hung-Lin Fu.
評分標準
| 項目 | 百分比 |
| Homework | 100% |
課程講義 Course Handout
| 章節 | 下載連結 |
| Combinatorial Design Lecture 1-15 |