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

110-1 294215 微積分及演習 1 3.0 4 ▲ 陳琬萍外籍學生專班課程 35 1 ◎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
110-1	294215	微積分及演習	1	3.0	4	▲	陳琬萍	外籍學生專班課程	35	1	◎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 2021-09-20 11:07:07

課程大綱 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 of Calculus(I) includes: 1.Functions and Limits, 2.Derivatives, 3.Inverse Functions (includes Transcendental Functions), 4.Applications of Differentiation, 5.Integrals, 6.Techniques of Integration.

課程進度 Week 1 ---Functions, The limit of a function, Calculating limits Week 2 ---Continuity, Limits involving infinity Week 3 ---Derivatives and rates of change, The derivative as a function, Basic differentiation formulas, The product and quotient rules Week 4 ---The chain rule, Implicit differentiation, Related rates, Linear approximations and differentials Week 5 ---Exponential functions, Inverse functions and Logarithms, Derivatives of Logarithmic and Exponential functions Week 6 ---Test1 Week 7 ---Exponential Growth and Decay, Hyperbolic functions, Indeterminate forms and L’Hospital’s rule Week 8 ---Maximum and minimum values, The mean value theorem Week 9 ---Derivatives and the shapes of graphs Week 10 –Curve sketching Week 11 –Optimization problems, Newton’s method, Antiderivatives Week 12 –Test2 Week 13 –Areas and distances, The definite integral, Evaluating definite integrals Week 14 –The fundamental theorem of calculus, The substitution rule Week 15 –Integration by parts, Trigonometric integrals and substitutions Week 16 –Partial fractions, Integration with tables, Approximate integration Week 17 –Improper integrals Week 18 –Final exam

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

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
James Stewart: Essential Calculus (Early Transcendentals), 2nd edition 2013 (Publisher: Thomson REFERENCE BOOK Larson/Hostetler/Edwards: Calculus, Ninth Edition (Publisher: Houghton Mifflin) Book buying platform: https://forms.gle/WszjDu7PsSeuMtNR7

課程諮詢管道 on line

課程對應SDGs指標

備註 ●上課方式：遠距上課

●評量方式：
Physical exam, if physical exam is not possible, online exam will be taken
●補充說明資訊：

教師姓名	陳琬萍
Email	wpchen57@mail.ntut.edu.tw
最後更新時間	2021-09-20 11:07:07
課程大綱	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 of Calculus(I) includes: 1.Functions and Limits, 2.Derivatives, 3.Inverse Functions (includes Transcendental Functions), 4.Applications of Differentiation, 5.Integrals, 6.Techniques of Integration.
課程進度	Week 1 ---Functions, The limit of a function, Calculating limits Week 2 ---Continuity, Limits involving infinity Week 3 ---Derivatives and rates of change, The derivative as a function, Basic differentiation formulas, The product and quotient rules Week 4 ---The chain rule, Implicit differentiation, Related rates, Linear approximations and differentials Week 5 ---Exponential functions, Inverse functions and Logarithms, Derivatives of Logarithmic and Exponential functions Week 6 ---Test1 Week 7 ---Exponential Growth and Decay, Hyperbolic functions, Indeterminate forms and L’Hospital’s rule Week 8 ---Maximum and minimum values, The mean value theorem Week 9 ---Derivatives and the shapes of graphs Week 10 –Curve sketching Week 11 –Optimization problems, Newton’s method, Antiderivatives Week 12 –Test2 Week 13 –Areas and distances, The definite integral, Evaluating definite integrals Week 14 –The fundamental theorem of calculus, The substitution rule Week 15 –Integration by parts, Trigonometric integrals and substitutions Week 16 –Partial fractions, Integration with tables, Approximate integration Week 17 –Improper integrals Week 18 –Final exam
評量方式與標準	1. Attendance 15% 2. Homework & Exercises 20% 3. Test1 20% 4. Test2 20% 5. Final 25%
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 James Stewart: Essential Calculus (Early Transcendentals), 2nd edition 2013 (Publisher: Thomson REFERENCE BOOK Larson/Hostetler/Edwards: Calculus, Ninth Edition (Publisher: Houghton Mifflin) Book buying platform: https://forms.gle/WszjDu7PsSeuMtNR7
課程諮詢管道	on line
課程對應SDGs指標
備註	●上課方式：遠距上課 ●評量方式： Physical exam, if physical exam is not possible, online exam will be taken ●補充說明資訊：