課程目標 (中文)：本課程主要目標為介紹凸最佳化基本理論、方法，包含凸集合、凸函式、各式凸最佳化問題、K.K.T.定理、對偶問題等及其於無線通訊與訊號處理領域之應用，學生修習完本課程後將具備處理最佳化問題能力。

課程目標 (英文)：The major goal of this course is to introduce the convex optimization concepts and methods, including convex set, convex function, various convex optimization problem, K.K.T. conditions, duality, etc., and their applications to the wireless communications and signal processing. We expect a student who finishes the course is well equipped to handle optimization problems.

授課週次內容 (英文)：

1 . Introduction to Optimization

2. Introduction to matrix algebra

3. Introduction to matrix algebra

4. Convex sets

5. Convex sets

6. Convex functions

7. Convex functions

8. Convex optimization problems

9. Mid-term exam

10. Convex optimization problems

11. Software for convex programming

12. Duality

13. Duality

14. Karash-Kuhn-Tucker (KKT) conditions

15. Karash-Kuhn-Tucker (KKT) conditions

16. Interior-point methods

17. Selected topics for new optimization methods

Application to wireless communications and signal processing

18. Final project