Calculus II, Spring 2019.

A undergraduate course in Mathematics at the Department of Mathematics, National Tsing Hua University.

Instructor: Professor Wei-Cheng Wang,

Office Hours: T5R5 or by appointment. Office: Rm 721 General III Building. Phone: ext 62231.

Teaching Assistant:

• Mr. Hsu, Yu-Cheng (Recitation B07). Email: youvan0206@gmail.com Office: Office 207 General III Building. Phone: ext 33036.
• Mr. Ruan, Chi-Te (Recitation B08). Email: stardust11612@gmail.com Office: Office 207 General III Building. Phone: ext 33036.
• Mr. Tseng, Pin-Chieh (Recitation B09). Email: aa1ds2d3f@hotmail.com Office: Office 640 General III Building. Phone: ext 33073.

Meeting: Delta (Taida) building, classroom B03, T3T4R3R4.

Recitation: Delta (Taida) building, Mondays 19:00-21:00, classroom B07 (student ID number = 1 (mod 3), classroom B08 (student ID number = 2 (mod 3), classroom B09 (student ID number = 0 (mod 3).

Grading: 20% quiz, 25% midterm I, 25% midterm II + 30% final exam. Extra 5%: attendance (lectures and recitations).

Textbook: G. B. Thomas, M. D. Weir and J. R. Hass: Thomas's Calculus Early Transcendentals 12th edition (ISBN-13 978-0-321-63632-4, ISBN-10 0-321-63632-5).

Contents:

• Calculus II:
• Infinite Sequences and Series.
• Partial Derivatives.
• Multiple Integrals.
• Integration in Vector Fields.

Syllabus, study guide and lecture notes:

• Calculus II:
• Revised syllabus (updated May 06).
• Study Guide for Chap 10 (new).
• Study Guide for Chap 14.
• Study Guide for Chap 15 (new).
• Study Guide for Chap 16.
• Week 01: Lecture note 190219, Lecture note 190221.
• Week 02: Lecture note 190226.
• Week 03: Lecture note 190305, Lecture note 190307.
• Week 04: Lecture note 190312 (added missing page 6), Lecture note 190314.
• Week 05: Lecture note 190319, Lecture note 190321 (page 1-2 corrected).
• Week 06: Lecture note 190326, Lecture note 190328.
• Week 07: Midterm 01 solutions.
• Week 08: Lecture note 190409, Lecture note 190411.
• Week 09: Lecture note 190416, Lecture note 190418.
• Week 10: Lecture note 190423, Lecture note 190425. Remarks on section 14.4, problem 51.
• Week 11: Lecture note 190430, Lecture note 190502.
• Week 12: Lecture note 190507, Remarks on differentiability in 2D. Lecture note 190509.
• Week 13: Lecture note 190514. Midterm 02 solutions.
• Week 14: Lecture note 190521, Lecture note 190523.
• Week 15: Lecture note 190528 (ver 2, slight revision on page 10), Lecture note 190530.
• Week 16: Lecture note 190604, Lecture note 190606.
• Week 17: Final exam solutions.

Homework Assignment and Exam Solutions:

• Calculus II:
• Homework assignments (temporary) for Chapter 10. Chapter 14. Chapter 15. Chapter 16.
• Homework 01, assigned Feb 21.
• Homework 02, assigned Feb 28.
• Homework 03, assigned Mar 08.
• Homework 04, assigned Mar 15.
• Homework 05, assigned Mar 22.
• Homework 06, assigned Mar 29.
• Homework 07, assigned Apr 03.
• Homework 08, assigned Apr 12.
• Homework 09, assigned Apr 19.
• Homework 10, assigned Apr 25.
• Homework 11, assigned May 02.
• Homework 12, assigned May 09.
• Homework 13, assigned May 16.
• Homework 14, assigned May 23.
• Homework 15, assigned May 30.
• Homework 16, assigned Jun 06.