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，和其在各領域豐富的應用。
微分主題包含多變數函數的偏微分、切平面、線性逼近、方向導數，和連鎖律；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。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計算並探索微積分的應用。

Calculus of multivariable functions together with its profound applications in various subject areas are introduced in this half-semester course. Especially, topics about differentiation include partial derivatives, tangent planes, linear approximations, directional derivatives, 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.
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 improve their skills in handling calculations and explore applications of Calculus under the guidance of teaching assistants.
 

1. 本校尚無訂定 A+ 比例上限。
2. 本校採用等第制評定成績，學生成績評量辦法中的百分制分數區間與單科成績對照表僅供參考，授課教師可依等第定義調整分數區間。詳見學習評量專區 (連結)。