Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Spring Semester
Year 2020 271474 Calculus 2 3.0 4 ▲ Wan Ping Chen Courses for International Students 33 0 限外籍生修讀

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2020	271474	Calculus	2	3.0	4	▲	Wan Ping Chen	Courses for International Students	33	0	限外籍生修讀

Course Plan：

Instructor Wan Ping Chen

Email wpchen57@mail.ntut.edu.tw

Last Updated 2020-07-02 06:55:10

Course Objective CALCULUS(II)---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(II) includes: 1. Indefinite and Definite Integral, 2. Techniques of Integration, 3. Application of Integration, 4. Parametric Equations and Polar Coordinates 5. Basic Vector Analysis, 6. Partial Derivative, 7. Multiple Integration, 8. Infinite Series.

Course Schedule 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 Week 6 ---Areas between curves, Volumes of solids of revolution 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 –Functions of several variables, Partial derivatives 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

Evaluation and grading policy 1. Attendance 15% 2. Homeworks 15% 3. Exam1 20% 4. Exam2 20% 5. Final 30% ******* Notice ******** 5/30 online course: https://meet.google.com/nou-iwpn-gnr Feedback form: Chinese version: https://pse.is/SCQKC English version: https://pse.is/S72UD recording : https://drive.google.com/open?id=15vdCTHiT6JzkYY6hRLLfw7puNMKJkU6- ********************** HW3 11.1 : odd numbers 1~9 11.2 : odd numbers 3~9, 21, 23 11.3 : odd numbers 5~15, 21~25, 29~33, 39, 43~47, 51, 53 11.4 : odd numbers 1~5, 11~27 11.5 : odd numbers 1~9, 13, 17, 19, 29, 37 11.6 : odd numbers 1~17 11.7 : odd numbers 1~9, 23~27, 31, 33, 43 12.1 : 3, odd numbers 7~`5, odd numbers 21~25, 29, 31 Please hand in your HW3 on 7/4 Final Exam: 7/4 9:00~12:00 HW2 7.1 : odd numbers 1~19 7.2 : odd numbers 1~15, 27, 35, 41 7.3 : odd numbers 1~19 7.4 : odd numbers 7~17 7.5 : odd numbers 5, 7, 11, 13, 15 10.1: 3, 5, 7, 11, 15 10.2: odd numbers 1~17 10.3: odd numbers 3~9, odd numbers 13~21 10.4: 1, 3, 5, 9, 11, 13, 17, 19, 29, 33, 35, 37 10.5: odd numbers 3~9, 13, odd numbers 17~27, 35, 37, 39 Please hand in your HW2 on 5/23 Exam2: 5/23 9:00~12:00 HW1 5.1: 5, 9, 11 5.2: 5, 9, 11, 13, 15, 17, 19, 21, 25, 33, 35, 39, 41, 43, 45 5.3: odd numbers 3~25, 37, 43, 45 5.4: 1, 5, 7, 15, 17, 19, 25, 27, 31 5.5: odd numbers 1~25, odd numbers 37~43, 51, 53, 61, 65 6.1: odd numbers 1~9, 13, 17, 19, odd numbers 23~29, 35 6.2: odd numbers 1~29, 43, 47, 49, 51, 55, 57, 59 Please hand in your HW1 on 4/11 Exam1: 4/11 9:00~12:00

Materials All right reserved. Do not reproduce without permission.

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

The access to curricular consultation

The course corresponds to the SDGs

Does the course incorporate AI

Note
　

Instructor	Wan Ping Chen
Email	wpchen57@mail.ntut.edu.tw
Last Updated	2020-07-02 06:55:10
Course Objective	CALCULUS(II)---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(II) includes: 1. Indefinite and Definite Integral, 2. Techniques of Integration, 3. Application of Integration, 4. Parametric Equations and Polar Coordinates 5. Basic Vector Analysis, 6. Partial Derivative, 7. Multiple Integration, 8. Infinite Series.
Course Schedule	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 Week 6 ---Areas between curves, Volumes of solids of revolution 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 –Functions of several variables, Partial derivatives 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
Evaluation and grading policy	1. Attendance 15% 2. Homeworks 15% 3. Exam1 20% 4. Exam2 20% 5. Final 30% ***** Notice **** 5/30 online course: https://meet.google.com/nou-iwpn-gnr Feedback form: Chinese version: https://pse.is/SCQKC English version: https://pse.is/S72UD recording : https://drive.google.com/open?id=15vdCTHiT6JzkYY6hRLLfw7puNMKJkU6- ******************** HW3 11.1 : odd numbers 1~9 11.2 : odd numbers 3~9, 21, 23 11.3 : odd numbers 5~15, 21~25, 29~33, 39, 43~47, 51, 53 11.4 : odd numbers 1~5, 11~27 11.5 : odd numbers 1~9, 13, 17, 19, 29, 37 11.6 : odd numbers 1~17 11.7 : odd numbers 1~9, 23~27, 31, 33, 43 12.1 : 3, odd numbers 7~`5, odd numbers 21~25, 29, 31 Please hand in your HW3 on 7/4 Final Exam: 7/4 9:00~12:00 HW2 7.1 : odd numbers 1~19 7.2 : odd numbers 1~15, 27, 35, 41 7.3 : odd numbers 1~19 7.4 : odd numbers 7~17 7.5 : odd numbers 5, 7, 11, 13, 15 10.1: 3, 5, 7, 11, 15 10.2: odd numbers 1~17 10.3: odd numbers 3~9, odd numbers 13~21 10.4: 1, 3, 5, 9, 11, 13, 17, 19, 29, 33, 35, 37 10.5: odd numbers 3~9, 13, odd numbers 17~27, 35, 37, 39 Please hand in your HW2 on 5/23 Exam2: 5/23 9:00~12:00 HW1 5.1: 5, 9, 11 5.2: 5, 9, 11, 13, 15, 17, 19, 21, 25, 33, 35, 39, 41, 43, 45 5.3: odd numbers 3~25, 37, 43, 45 5.4: 1, 5, 7, 15, 17, 19, 25, 27, 31 5.5: odd numbers 1~25, odd numbers 37~43, 51, 53, 61, 65 6.1: odd numbers 1~9, 13, 17, 19, odd numbers 23~29, 35 6.2: odd numbers 1~29, 43, 47, 49, 51, 55, 57, 59 Please hand in your HW1 on 4/11 Exam1: 4/11 9:00~12:00
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes TEXTBOOK James Stewart: Essential Calculus (Early Transcendentals), 2nd edition 2013 (Publisher: Thomson ) REFERENCE BOOK Larson/Hostetler/Edwards: Calculus, Ninth Edition (Publisher: Houghton Mifflin)
The access to curricular consultation
The course corresponds to the SDGs
Does the course incorporate AI
Note