Course Syllabus

Course Information：

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

Fall Semester
Year 2021 294215 Calculus 1 3.0 4 ▲ Wan Ping Chen Courses for International Students 35 1 ◎限外籍生修讀

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2021	294215	Calculus	1	3.0	4	▲	Wan Ping Chen	Courses for International Students	35	1	◎限外籍生修讀

Course Plan：

Instructor Wan Ping Chen

Email wpchen57@mail.ntut.edu.tw

Last Updated 2021-09-20 11:07:07

Course Objective 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.

Course Schedule 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

Evaluation and grading policy 1. Attendance 15% 2. Homework & Exercises 20% 3. Test1 20% 4. Test2 20% 5. Final 25%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
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

The access to curricular consultation on line

The course corresponds to the SDGs

Note In response to the ongoing outbreaks of Covid-19, for the 2021 fall semester, the general regulations will be as follows
(Adjustments may be made based on the epidemic situation, https://oaa.ntut.edu.tw/p/404-1008-98622.php?Lang=zh-tw):
※COVID-19 Alert Level 1 (or below): All courses will be in-person.
※COVID-19 Alert Level 3 (or above): All courses will be offered remotely.
※COVID-19 Alert Level 2: Please note the following specifications for course delivery.
●Course Option:All Remote

●Examinations & Assessments:
Physical exam, if physical exam is not possible, online exam will be taken
●Supplementary information:

Instructor	Wan Ping Chen
Email	wpchen57@mail.ntut.edu.tw
Last Updated	2021-09-20 11:07:07
Course Objective	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.
Course Schedule	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
Evaluation and grading policy	1. Attendance 15% 2. Homework & Exercises 20% 3. Test1 20% 4. Test2 20% 5. Final 25%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 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
The access to curricular consultation	on line
The course corresponds to the SDGs
Note	In response to the ongoing outbreaks of Covid-19, for the 2021 fall semester, the general regulations will be as follows (Adjustments may be made based on the epidemic situation, https://oaa.ntut.edu.tw/p/404-1008-98622.php?Lang=zh-tw): ※COVID-19 Alert Level 1 (or below): All courses will be in-person. ※COVID-19 Alert Level 3 (or above): All courses will be offered remotely. ※COVID-19 Alert Level 2: Please note the following specifications for course delivery. ●Course Option:All Remote ●Examinations & Assessments: Physical exam, if physical exam is not possible, online exam will be taken ●Supplementary information: