查詢教學大綱與進度

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

111-2 314976 微積分及演習 2 3.0 4 ▲ 陳琬萍外籍學生專班課程 28 4 ◎限外籍生修讀

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
111-2	314976	微積分及演習	2	3.0	4	▲	陳琬萍	外籍學生專班課程	28	4	◎限外籍生修讀

教學大綱與進度：

教師姓名陳琬萍

Email wpchen57@mail.ntut.edu.tw

最後更新時間 2023-02-20 10:20:19

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 Week 1 ---Indefinite integrals and basic formulas Week 2 ---The definite integral, Evaluating definite integrals Week 3 ---Fundamental Theorem of Calculus, Substitution rule Week 4 ---Integration by parts, Trigonometric integrals and substitutions Week 5 ---Partial fractions, Other substitutions, Improper integrals, Areas between curves, Volumes of solids of revolution Week 6 --- Test I Week 7 ---Volume by cylindrical shell, Arc length of curves Surface area of solids of revolution Week 8 ---Surface area of solids of revolution Week 9 ---Polar coordinates Week 10 –Calculus with parametric curves Week 11 –Three-dimensional , Vector functions, Lines and planes Week 12 –Test II Week 13 –The chain rule, Directional derivatives and the gradient, Extreme values of functions of two variables Week 14 –Double integrals, Applications of double integrals Week 15 –Triple integrals, Change of variables in multiple integrals Week 16 –Infinite series, Power series Week 17 –Taylor and Maclaurin series Week 18 –Final exam

評量方式與標準 1. Attendance 15% 2. Homework & Exercises 25% 3. Test1 20% 4. Test2 20% 5. Final 20%

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 Metric Version Early Transcendentals (2e) 作者 : James Stewart, Daniel Clegg, Saleem Watson

課程諮詢管道 https://classroom.google.com/c/NTgwMTY3ODY0NTAx?cjc=cgawame

備註
Google classroom:
314976微積分及演習
https://classroom.google.com/c/NTgwMTY3ODY0NTAx?cjc=cgawame

教師姓名	陳琬萍
Email	wpchen57@mail.ntut.edu.tw
最後更新時間	2023-02-20 10:20:19
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	Week 1 ---Indefinite integrals and basic formulas Week 2 ---The definite integral, Evaluating definite integrals Week 3 ---Fundamental Theorem of Calculus, Substitution rule Week 4 ---Integration by parts, Trigonometric integrals and substitutions Week 5 ---Partial fractions, Other substitutions, Improper integrals, Areas between curves, Volumes of solids of revolution Week 6 --- Test I Week 7 ---Volume by cylindrical shell, Arc length of curves Surface area of solids of revolution Week 8 ---Surface area of solids of revolution Week 9 ---Polar coordinates Week 10 –Calculus with parametric curves Week 11 –Three-dimensional , Vector functions, Lines and planes Week 12 –Test II Week 13 –The chain rule, Directional derivatives and the gradient, Extreme values of functions of two variables Week 14 –Double integrals, Applications of double integrals Week 15 –Triple integrals, Change of variables in multiple integrals Week 16 –Infinite series, Power series Week 17 –Taylor and Maclaurin series Week 18 –Final exam
評量方式與標準	1. Attendance 15% 2. Homework & Exercises 25% 3. Test1 20% 4. Test2 20% 5. Final 20%
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 Metric Version Early Transcendentals (2e) 作者 : James Stewart, Daniel Clegg, Saleem Watson
課程諮詢管道	https://classroom.google.com/c/NTgwMTY3ODY0NTAx?cjc=cgawame
備註	Google classroom: 314976微積分及演習 https://classroom.google.com/c/NTgwMTY3ODY0NTAx?cjc=cgawame