教學大綱與進度

課程基本資料：

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
110-1	290150	微積分	1	3.0	3	▲	林尚文	訓四子一	55	0	◎

教學大綱與進度：

教師姓名	林尚文
Email	shangwen5435@gmail.com
最後更新時間	2021-09-15 13:19:41
課程大綱	本課程希望在一學年中，能使學生對微分及積分有充分的瞭解、培養邏輯推理、啟發思考創造、強化計算演繹並注重應用與作圖，以建立同學未來學習工程數學及相關專業課程之數學基礎，充分達到學以致用的目的。課程內容包括：1.極限與連續，2.導數及其應用，3.不定積分與定積分，4.超越函數及其反函數，5.積分法則，6.不定型與瑕積分，7.定積分的應用，8.空間幾何與向量微積分，9.偏導數，10.重積分，11.級數。 This course aims at developing comprehension of Derivation and Integral、activating capabilities of Logic Inference and Induction、enlightening confidence and independence、strengthening calculating abilities with an emphasis on its application and diagram、furnishing a sound basis for future specialty. The content includes: 1.Limits and Continuity, 2.Derivative and Application, 3.Indefinite and Definite Integral, 4.Transcendental Functions and their Inverses, 5.Techniques of Integration, 6.Indeterminate Forms and Improper Integral, 7.Application of Integration, 8.Basic Vector Analysis, 9.Partial Derivative, 10.Multiple Integration, 11.Infinite Series.
課程進度	1 1.5~1.6 The Limit of a Function, Calculating Limits Using the Limit Laws 2 1.7~1.8 The Precise Definition of a Limit, Continuity 3 2.1~2.3 Derivatives 4 2.4~2.6 Derivatives of Trigonometric Functions, Chain Rule, Implicit Differentiation, 2.8(optional) Linear Approximations and Differentials 5 3.1~3.2 Maximum and Minimum Values, MVT 6 3.3~3.5 Limits at Infinity; Horizontal Asymptotes, Curve Sketching 7 3.6 Optimization Problems, 3.8 Antiderivatives, 4.1~4.2 Areas and Distances (optional), The Definite Integral. 8 4.3~4.5 Fundamental Theorem of Calculus, Indefinite Integrals, The Substitution Rule 9 期中考 10 5.1~5.2 Area between curves, Volumes 11 5.3 Volumes by Cylindrical Shells, 5.5 Average Value of a Function 12 6.1~6.2 Inverse Functions, Nature Logarithmic Functions 13 6.3~6.4 Nature Exponential Functions, General Logarithmic and Exponential Functions 14 6.6 Inverse Trigonometric Functions, 6.7 Indeterminate Forms and l’Hospital’s Rule 15 7.1~7.2 Integration by Parts, Trigonometric Integrals 16 7.3 (optional) Trigonometric Substitution, 7.4 Integration of Rational Functions by Partial Fractions 17 7.7 Improper Integrals 8.1 Arc length (optional) 18 期末考試週
評量方式與標準	期中考 30% 期末考 30% 平時成績 40% (含作業、小考、課堂表現)
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 Essential Calculus, James Stewart.
課程諮詢管道	1.MS Teams 中可發訊息給老師 2.電子郵件：shangwen5435@gmail.com
備註	●上課方式：遠距上課 ●評量方式： 期中、期末考採紙筆測驗 若因疫情無法在教室實施考試，將改採遠距考試 每人一份試卷(相似題型改係數)， 同學依指示下載試題，作答完畢後將答案拍照回傳到指定位址 ●補充說明資訊：