Differential Geometry I

Course 7412005 Section 01, Spring 2025

Tuesdays 15:00 - 15:50, Wednesdays 14:00 - 15:50, Room: E1-2 #306

Chungbuk National University

Instructor: Dr. Byungdo Park          Email:
Office Hours: Wednesdays 15:50--16:30 at E1-1 Room 110.
Syllabus: PDF

Announcements

2026-03-01: Please see below by when and where to submit your PBL projects.
2026-03-01: Homework problems for this semester have been posted below.
2026-03-01: Lecture notes will be made available on CBNU eCampus hopefully by the weekend of each class meeting.
2026-03-01: Announcements Here are procedures specifying details in the dispute policies.
2026-03-01: Welcome!

Homework

Homework #1 11 problems.
Problems from Chapter 3: #1, 9, 15, 17, 18, 21, 25, 26, 31, 32, 34.

Homework #2 8 problems.
Problems from Chapter 4 (Part 1): #1, 2, 4, 5, 9, 26, 27, 29

Homework #3 10 problems.
Problems from Chapter 4 (Part 2): #11, 12, 13, 16, 17, 18, 19, 21, 28, 30

Homework #4 12 problems.
Problems from Chapter 4 (Part 3): #32, 33, 34, 35, 38
Problems from the National Exam: PDF.

Homework #5 20 problems.
Problems from Chapter 5: #5, 7, 8
Problems from O'Neill, Elementary Differential Geometry, p.15 Exercise #3, 4, 5
Problems from O'Neill, Elementary Differential Geometry, p.22 Exercise #6
Problems from O'Neill, Elementary Differential Geometry, p.40 Exercise #4, 5, 6, 7, 8, 9, 10
Problems from O'Neill, Elementary Differential Geometry, p.106 Exercise #2, 7, 8
Problems from O'Neill, Elementary Differential Geometry, p.110 Exercise #2, 4
Problems from O'Neill, Elementary Differential Geometry, p.120 Exercise #4

Homework #6 7 problems.
Problems from Handout 2.

Homework #7 9 problems.
Problems from Handout 3.

Homework #8 10 problems.
Problems from Chapter 8 Part 1: #4, 5, 6, 8, 10 (Addendum), 24, 26, 29 (Solution), 32, 33.
Problems from Chapter 8 Part 2: #17, 19(a), 28, 30, 34, 38.

Exam Schedules

TBA

Assessment of Project-Based Learning (PBL)

For an extra credit, you should record a 20-minute long video lecture about one of the following:
(1) A sample lecture on any topic listed on the syllabus of this course.
(2) A sample lecture on a concept from secondary school geometry curricular.

You should submit the video in a form of a YouTube video link by choosing the sharing option "unlisted." Please use this form to submit your work.

Your video will be disclosed to your classmates in this course as a part of a YouTube playlist. You may turn your video into “private” or even delete the video after your letter grade for this course is assigned.

Links

Webpage of Byungdo Park
CBNU Mathematics Education Department Homepage