Course Syllabus

Course Information：

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

Spring Semester
Year 2019 258981 Calculus 2 3.0 4 ▲ Shan-Jung Tzeng Courses for International Students 21 2 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 2019	258981	Calculus	2	3.0	4	▲	Shan-Jung Tzeng	Courses for International Students	21	2	限外籍生修讀

Course Plan：

Instructor Shan-Jung Tzeng

Email f10372@ntut.edu.tw

Last Updated 2018-12-22 16:06:17

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 SYLLABUS 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 (First Test) 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 ---Review for midterm exam Week 9 ---Midterm exam Week 10 –Calculus with parametric curves, Polar coordinates 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 (Second Test) Week 15 –Triple integrals, Change of variables in multiple integrals Week 16 –Infinite series, Power series, Taylor and Maclaurin series Week 17 –Review for final exam Week 18 –Final exam

Evaluation and grading policy GRADE 1. Homework 20% 2. Tests(2) 30% 3. Midterm exam 20% 4. Final exam 30%

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

Note
　

Instructor	Shan-Jung Tzeng
Email	f10372@ntut.edu.tw
Last Updated	2018-12-22 16:06:17
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	SYLLABUS 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 (First Test) 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 ---Review for midterm exam Week 9 ---Midterm exam Week 10 –Calculus with parametric curves, Polar coordinates 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 (Second Test) Week 15 –Triple integrals, Change of variables in multiple integrals Week 16 –Infinite series, Power series, Taylor and Maclaurin series Week 17 –Review for final exam Week 18 –Final exam
Evaluation and grading policy	GRADE 1. Homework 20% 2. Tests(2) 30% 3. Midterm exam 20% 4. Final exam 30%
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
Note