This graduate-level course provides an introduction to optimization theory and will be conducted in English. It covers classical topics, including first-order and second-order numerical methods for unconstrained optimization, linear programming, the Lagrangian multiplier method, the Karush-Kuhn-Tucker (KKT) conditions, and duality theorems. If time permits, the course will also introduce fundamental concepts in convex optimization. Instruction will primarily take place using chalkboard teaching, and students are required to submit their in-class notes weekly.
最佳化理論與應用能提供通訊系統資源分配之方法與效能分析。
Optimization theory provides fundamental guidelines and performance analysis techniques for the design and optimization of communication systems, enabling efficient resource allocation, signal processing, and network operation.
達成指標：
熟悉如何利用最佳化理論工具描述通訊系統設計問題。
Be familiar with applying optimization theory tools to model and analyze communication system design problems.
評量工具(可複選)：
作業與考試。Homework assignments and exams.
1.2
瞭解通訊工程相關領域之實務技術。()
為何有關：
最佳化方法的相關工具已被大量用於實務通訊系統設計。
Optimization methods have been widely utilized in practical communication system design.
達成指標：
熟悉如何利用最佳化演算法解決實際問題。
Be familiar with applying optimization algorithms to optimize communication systems.
評量工具(可複選)：
作業與考試。Homework assignments and exams.
2.1
培養發掘與分析通訊工程特定領域專題研究之能力。()
為何有關：
最佳化問題處理問題的觀點可提供既有通訊系統設計新的思考方向。
The optimization-based approach to problem-solving offers new perspectives for improving existing communication system designs.
達成指標：
熟悉最佳化出發的解決問題觀點。
Be familiar with the optimization-based problem-solving approach.
評量工具(可複選)：
作業與考試。Homework assignments and exams.
2.2
培養規劃與執行通訊工程特定領域專題研究之能力。()
為何有關：
最佳化相關概念可用於通訊系統設計。
Concepts from optimization can be applied to the analysis of communication systems.
達成指標：
能將自己的研究工作與最佳化連結。
Be able to formulate personal research problems as optimization programs.
評量工具(可複選)：
口試。Oral Exam.
4.4
培養科技英文能力。()
為何有關：
使用科技英文授課。
This course is taught in English.
達成指標：
能有效的整理資訊並表達自己的觀點。
Be able to clearly and effectively articulate personal understanding of each topic.