Contents

General Information

  • Begins ~ ends: February 17, 2025 ~ June 20, 2025
  • Instructor: Pu-Zhao Kow
  • Email: pzkow [at] g.nccu.edu.tw
  • Office hour: Tuesday (16:10 ~ 17:00)
  • Teaching Language: Chinese and English
  • Lecture Note: Pu-Zhao Kow, An introduction to the Euclidean space. Note: The lecture note may update during the course.

References

Note. See my lecture note for some more advance monographs.
  • M. P. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1976. MR0394451, Zbl:0326.53001

Prerequisite

  • Calculus

Homeworks

  • Homework 1: Return by March 4, 2025 (Tuesday) 16:00
  • Homework 2: Return at March 18, 2025 (Tuesday) to TA's office between 13:00-13:10 or 15:00-15:10
  • Homework 3: Return by March 25, 2025 (Tuesday) 16:00
  • Homework 4: Return by April 1, 2025 (Tuesday) 16:00

Schedule

  • The lectures are on Tuesday (13:10-16:00) at 志希070221.
Time Room Activities
18.02.2025 13:10-16:00 志希070221 Week 1 - Lecture (Tuesday): Definition of Euclidean space, a geometry description on dot product
25.02.2025 13:10-16:00 志希070221 Week 2 - No class
04.03.2025 13:10-16:00 志希070221 Week 3 - Lecture (Tuesday): Euclidean topology (open sets, closed sets, compact sets) [Return Homework 1 by 16:00]
11.03.2025 13:10-16:00 志希070221 Week 4 - Lecture (Tuesday): Euclidean topology (connected sets and convex sets)
18.03.2025 13:10-16:00 志希070221 Week 5 - No class [Return Homework 2 to TA's office between 13:00-13:10 or 15:00-15:10]
25.03.2025 13:10-16:00 志希070221 Week 6 - Lecture (Tuesday): Limits and continuous functions [Return Homework 3 by 16:00]
01.04.2025 13:10-16:00 志希070221 Week 7 - Lecture (Tuesday): Review [Return Homework 4 by 16:00]
08.04.2025 13:10-16:00 志希070221 Week 8 - Lecture (Tuesday)
15.04.2025 13:10-16:00 志希070221 Week 9 - Midterm exam (Tuesday)
22.04.2025 13:10-16:00 志希070221 Week 10 - Lecture (Tuesday)
29.04.2025 13:10-16:00 志希070221 Week 11 - Lecture (Tuesday)
06.05.2025 13:10-16:00 志希070221 Week 12 - Lecture (Tuesday)
13.05.2025 13:10-16:00 志希070221 Week 13 - Lecture (Tuesday)
20.05.2025 13:10-16:00 志希070221 Week 14 - No class: university anniversary/athletic contests

Completion

  • The course can be taken for credit by attending the lectures, returning written solutions (60%) and taking taking midterm and final exams (each 20%).