Calculus I & II, Fall 2015 & Spring 2016 (EE & EECS).

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

Instructor: Professor Wei-Cheng Wang,

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

Teaching Assistant:

• Ms. You-Hsuen Guan. Email: yhguan8128@gmail.com Office: Rm 722 General III Building. Phone: ext 33126.

Meeting: General III building, classroom 118, T3T4R3R4.

Recitation: Taida building, classroom 208, Wbc.

Grading: 40% quiz, 60% midterm I, II + final exam (about 20% each).

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 I:
• Limits and Continuity.
• Application of Derivatives.
• Integration.
• Applications of Definite Integrals.
• Integrals and Transcendental Functions.
• Techniques of Integration.
• First-Order Differential Equations.
• Calculus II:
• Improper Integrals.
• Infinite Sequences and Series.
• Parametric Equations and Polar Coordinates.
• Partial Derivatives.
• Multiple Integrals.
• Integration in Vector Fields.

Syllabus, study guide and lecture notes:

• Calculus II:
• Syllabus (updated Feb 06).
• Syllabus (updated Mar 20).
• Syllabus (updated May 04).
• Study Guide for Chap 08.
• Study Guide for Chap 10.
• Study Guide for Chap 14.
• Study Guide for Chap 15 (part 1).

PDF viewer: To view the PDF files on your PC screen, you may need to install the Acrobat Reader from Adobe. Acrobat Reader can be downloaded from the Adobe site

Homework Assignment, Solutions and Exam Solutions:

• Calculus I:
• Homework assignments (temporary) for Chapter 2. Chapter 3. Chapter 4. Chapter 5. Chapter 6. Chapter 7. Chapter 8. Chapter 9.
• Homework 01, assigned Sep 17. Homework 01 solution.
• Homework 02, assigned Sep 24. Homework 02 solution.
• Quiz 01 solution.
• Homework 03, assigned Oct 01. Homework 03 solution.
• Homework 04, assigned Oct 08. Homework 04 solution.
• Quiz 02 solution.
• Homework 05, assigned Oct 15. Homework 05 solution.
• Midterm 01 solution.
• Homework 07, assigned Oct 29. Homework 07 solution.
• Homework 08, assigned Nov 05. Homework 08 solution.
• Quiz 03 solution.
• Homework 09, assigned Nov 12. Homework 09 solution.
• Homework 10, assigned Nov 19. Homework 10 solution.
• Quiz 04 solution.
• Homework 11, assigned Nov 26. Homework 11 solution.
• Midterm 02 solution.
• Homework 13, assigned Dec 10.
• Homework 14, assigned Dec 17. Homework 14 solution.
• Quiz 05 solution.
• Homework 15, assigned Dec 24. Homework 15 solution.
• Homework 16, assigned Dec 31 (updated). Homework 16 solution.
• Final Exam solution.
• Calculus II:
• Homework assignments (temporary) for Chapter 10. Chapter 11. Chapter 14. Chapter 15. Chapter 16.
• Homework 01, assigned Feb 18. Homework 01 solution.
• Homework 02, assigned Feb 25. Homework 02 solution.
• Quiz 01 solution.
• Homework 03, assigned Mar 03. Homework 03 solution.
• Homework 04, assigned Mar 10. Homework 04 solution.
• Quiz 02 solution.
• Homework 05, assigned Mar 17. Homework 05 solution.
• Midterm 01 solution.
• Homework 07, assigned Mar 31. Homework 07 solution.
• Homework 08, assigned Apr 07. Homework 08 solution.
• Quiz 03 solution.
• Homework 09, assigned Apr 14. Homework 09 solution.
• Homework 10, assigned Apr 21. Homework 10 solution.
• Quiz 04 solution.
• Homework 11, assigned Apr 28. Homework 11 solution.
• Midterm 02 solution.
• Homework 13, assigned May 12. Homework 13 solution.
• Homework 14, assigned May 19. Homework 14 solution.
• Quiz 05 solution.
• Homework 15, assigned May 26. Homework 15 solution.
• Homework 16, assigned Jun 02. Homework 16 solution.
• Final Exam solution.