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

**Instructor: ** Professor Wei-Cheng Wang.

**Teaching Assistant: ** Mr. Chung-Min Cheng. Office: Rm 210 General
III Building. Phone: ext 3059. Email: g933209@oz.nthu.edu.tw

**Meeting:** 資電 105. T3T4R3R4.

**Grading: ** 40% Homework + quiz, 60% midterm + final exam (around
30% each).

**Textbook and References**: Textbook: R. Finney and G. Thomas:
Calculus, 2nd ed.

**Contents: **

- Infinite Series.

- Calculation with Parametrized curves.
- Polar, Cylindrical and Sphereical Coordinates.
- Funtion of Multiple Variables.
- Partial Derivatives.
- Multiple Integrals.
- Integration in Vector Fields.
- Curvature, Torsion and the TNB Frame (if time permits).

**Syllabus, study guide and lecture notes: **

**Semester grade:**
Here.
Also individual grades of
homeworks.
And the
answer to final exam.

**Postscript viewer:** To view the Postscript files (lecture
notes, homework assignments and old exams) on your PC screen or to print
it out on a printer, you need to install the GSview from here.

**PDF viewer:** To view the PDF files on your PC screen, you may
need to install the Acrobat Reader from Adobe. (Other softwares,
such as GSview, can be possible alternatives.) Acrobat Reader can be
downloaded from the Adobe site

**Homework Assignment: **

- Homework 01, due Mar 09 or the pdf versision.
- Homework 02, due Mar 16 or the pdf versision.
- Homework 03, due Mar 23 or the pdf versision.
- Homework 04, due Mar 30 or the pdf versision.
- Homework 05, due Apr 06 or the pdf versision.