**欲加簽本課程的同學請注意（01/25更新）**
1.目前崔茂培教授僅開放：選上他開的 微積分4-在經濟商管的應用(03班)，但沒選上本班微積分3的同學進行加簽。
2.若想加選微積分4的同學也請填寫表單，在 其他想問的問題 敍明原因。
3.加簽將以下方表單登記為主，請要加簽的同學務必填寫此表單，否則不受理加簽。
4.由於本課程為3類加選，因此，請欲加簽的同學先於選課時間持續加選本課程；最後仍未選到的同學，再於開學第3週列印人工加簽單進行人工加簽。
5.我們會依據此份表單先將符合加簽資格、但未選上的同學加入本班課程的旁聽生。

加簽意願表單連結：https://forms.gle/G1ERAsPry9uhsgcd8
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這是一門半學期的課程，主要介紹多變數函數的微積分運算，和其在經濟學豐富的應用。
微分主題包含多變數函數的極限，偏微分，方向導數，切平面，線性逼近，和微分連鎖律；並討論求函數極值，Lagrange乘子法等應用問題。積分部分涵蓋多重積分與逐次積分的定義，Fubini定理，和變數變換；並探究機率如何使用重積分。最後，課程將簡介級數與泰勒展式，解釋如何以多項式逼近複雜的函數。
課堂上將講解定義並推導重要定理，以培養學生邏輯推理與分析能力；同時會示範微積分在各領域的應用，幫助學生將微積分與其他專業科目結合。本課程還設有習題課，學生將在助教的帶領下熟練微積分的計算。

Calculus of multivariable functions together with its profound applications in Economics are introduced in this half-semester course. Especially, topics about differentiation include limits, partial derivatives, directional derivatives, tangent planes, linear approximations, and the chain rule. Also, applications such as finding extreme values and methods of Lagrange multipliers are discussed. Topics about integration involve definitions of multiple integrals and iterated integrals, Fubini’s theorem, change of variables, and how multiple integrals are used in probability. In addition to these, series and Taylor expansions are briefly introduced in the end of this course to explain how complicated functions are approximated by polynomials.
Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sessions in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.