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

107-1 248803 微積分及演習 1 3.0 4 ▲ 曾祥森外籍學生專班課程 26 0 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
107-1	248803	微積分及演習	1	3.0	4	▲	曾祥森	外籍學生專班課程	26	0	限外籍生修讀

教學大綱與進度：

教師姓名曾祥森

Email f10372@ntut.edu.tw

最後更新時間 2018-07-04 14:46:58

課程大綱 CALCULUS(I)---OUTLINES 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 SYLLABUS 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 ( First Test) Week 5 ---Exponential functions, Inverse functions and Logarithms Week 6 ---Derivatives of Logarithmic and Exponential functions, Exponential Growth and Decay Week 7 ---Hyperbolic functions, Indeterminate forms and L’Hospital’s rule Week 8 ---Review for midterm exam Week 9 ---Midterm exam Week 10 –Maximum and minimum values, The mean value theorem Week 11 –Derivatives and the shapes of graphs, Curve sketching Week 12 –Optimization problems, Newton’s method, Antiderivatives Week 13 –Areas and distances, The definite integral, Evaluating definite integrals Week 14 –The fundamental theorem of calculus, The substitution rule (Second Test) Week 15 –Integration by parts, Trigonometric integrals and substitutions, Partial fractions Week 16 –Integration with tables, Approximate integration, Improper integrals Week 17 –Review for final exam Week 18 –Final exam

評量方式與標準 GRADE 1. Homeworks 20% 2. Tests(2) 30% 3. Midterm exam 20% 4. Final exam 30%

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
TEXTBOOK James Stewart: Essential Calculus (Early Transcendentals), 2nd edition 2013 (Publisher: Thomson ) REFERENCE BOOK Larson/Hostetler/Edwards: Calculus, Ninth Edition (Publisher: Houghton Mifflin)

課程諮詢管道

備註

教師姓名	曾祥森
Email	f10372@ntut.edu.tw
最後更新時間	2018-07-04 14:46:58
課程大綱	CALCULUS(I)---OUTLINES 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	SYLLABUS 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 ( First Test) Week 5 ---Exponential functions, Inverse functions and Logarithms Week 6 ---Derivatives of Logarithmic and Exponential functions, Exponential Growth and Decay Week 7 ---Hyperbolic functions, Indeterminate forms and L’Hospital’s rule Week 8 ---Review for midterm exam Week 9 ---Midterm exam Week 10 –Maximum and minimum values, The mean value theorem Week 11 –Derivatives and the shapes of graphs, Curve sketching Week 12 –Optimization problems, Newton’s method, Antiderivatives Week 13 –Areas and distances, The definite integral, Evaluating definite integrals Week 14 –The fundamental theorem of calculus, The substitution rule (Second Test) Week 15 –Integration by parts, Trigonometric integrals and substitutions, Partial fractions Week 16 –Integration with tables, Approximate integration, Improper integrals Week 17 –Review for final exam Week 18 –Final exam
評量方式與標準	GRADE 1. Homeworks 20% 2. Tests(2) 30% 3. Midterm exam 20% 4. Final exam 30%
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 TEXTBOOK James Stewart: Essential Calculus (Early Transcendentals), 2nd edition 2013 (Publisher: Thomson ) REFERENCE BOOK Larson/Hostetler/Edwards: Calculus, Ninth Edition (Publisher: Houghton Mifflin)
課程諮詢管道
備註