本課程基本上是本系大二「經濟數學」必修課程的延續，基於以上的緣由，本課程所使用的教科書也會與本系大二「經濟數學」必修課程所使用的教科書同屬一本(Fundamental Methods of Mathematical Economics（2005，fourth edition）:A. C. Chiang and K. Wainwright，Mcgraw Hill Com.)，教學內容也只是本系大二「經濟數學」這門必修課程尚未教授完畢的部份(第14章至第20章)，教材涵蓋一階微分方程(first-order differential equations)、高階微分方程(higher-order differential equations)、一階差分方程(first-order difference equations)、高階差分方程(higher-order difference equations)、聯立微分方程與差分方程(simultaneous differential equations and difference equations)、最適控制理論(optimal control theory)的學習，藉以讓學生面對動態最適化(dynamic optimization)的經濟問題時，學習如何選擇最適化的決策。

This course is basically an extension of the compulsory course for the sophomore year of this department. Based on the above reasons, the textbooks used in this course will also be the same as the textbooks used in the compulsory course for the sophomore year of this department (Fundamental Methods of Mathematical Economics (2005, fourth edition): A. C. Chiang and K. Wainwright, Mcgraw Hill Com.), the teaching content is only the part that has not been completed in the compulsory course of "Economic Mathematics" in our sophomore year (Chapter 14 to 20). The textbook covers first-order differential equations, higher-order differential equations, first-order differential equations, higher-order differential equations, simultaneous differential equations and differences When learning equations, optimal control theory, learn how to choose the most appropriate decision when facing the dynamic optimization economic problems.

教科書:Fundamental Methods of Mathematical Economics（2005，fourth edition）:A. C. Chiang and
K.Wainwright，Mcgraw Hill Com.

Textbook: Fundamental Methods of Mathematical Economics (2005, fourth edition): A. C. Chiang and
K.Wainwright, Mcgraw Hill Com.