Differential Geometry I

Course 7412005 Section 01, Spring 2022

Mondays 14:00 - 14:50, Fridays 11:00 - 12:50, Room: eCampus and E1-1 #136

Chungbuk National University

Instructor: Dr. Byungdo Park          Email:
Office Hours: Mondays 17:00--17:50 at E1-1 Room 110.
Syllabus: PDF

Announcements

2022-06-23: Letter grades have been submitted. Enjoy your summer break.
2022-06-10: We have covered up to tangent planes. In Differential Geometry II, we shall resume by reviewing about tangent planes and learning about orientability of surfaces followed by local theories of surfaces. Homework #8 has been updated accordingly.
2022-05-29: Homework #8 has been posted below.
2022-05-29: Homework #7 has been posted below.
2022-05-23: We will not meet on Mondays June the 13th and the 20th. Instead, we will have our final exam on June 17th (Friday).
2022-05-23: Final exam announcement The detail has been posted below.
2022-05-12: Homework #6 has been posted below.
2022-05-09: Handout 2 will be distributed today. If you happened to miss today's class and do not receive it, write an email to get a copy.
2022-05-06: PBL project related: Find relevant details on your PBL project for this course below.
2022-04-29: Homework #5 has been posted below.
2022-04-26: Supplement materials have been posted on CBNU eCampus.
2022-04-08: Midterm exam announcement The detail has been posted below.
2022-04-08: Homework #4 has been posted below.
2022-03-29: Homework #3 has been posted below.
2022-03-29: Homework #2 has been posted below.
2022-03-19: Homework #1 has been posted below.
2022-03-19: Announcements Video lectures are now available on eCampus. Those upcoming lectures will be available by the class meeting time.
2022-03-16: Announcements The classes will go online during the period March 17th to March 25th. Please read email announcements.
2022-03-11: Announcements Please see the standard operation procedures for an absentism for an extensive period due to SARS-CoV-2. PDF
2022-03-04: Office hour has been changed to Mondays 17:00--17:50.
2022-03-01: Welcome!

Homework

Homework #1 11 problems. Due Date: March 30th.
Problems from Chapter 3: #1, 9, 15, 17, 18, 21, 25, 26, 31, 32, 34.

Homework #2 8 problems. Due Date: April 6th.
Problems from Chapter 4 (Part 1): #1, 2, 4, 5, 9, 26, 27, 29

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

Homework #4 12 problems. Due Date: April 20th.
Problems from Chapter 4 (Part 3): #32, 33, 34, 35, 38
Problems from the National Exam: PDF.

Homework #5 20 problems. Due Date: May 18th.
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. Due Date: May 25th.
Problems from Handout 2.

Homework #7 9 problems. Due Date: June 8th.
Problems from Handout 3.

Homework #8 10 problems. Due Date: Before the final exam.
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

Midterm Exam: 22 April (Friday) 11:00--12:40 in-class.
- Coverage: Chapters 3, 4, and 5(p.80 only) of the main textbook including all homework problems.
- Total 8 questions. There will be one set of True/False questions (Please note that you get full credit if you are correct, no credit for no answer, and negative of the assigned score if your answer to this question is incorrect). This exam will be geared toward giving advantages to those who were carefully following class discussions while keeping a good pace of doing homework.
- If you cannot make it to the in-class exam due to an official cause (including properly documented illness), you have to submit a Make-up Exam Application Form at your department.
The average was 61.78. The maximum score achieved by a student was 92.

Final Exam: 17 June (Friday) 11:00--12:40 in-class.
- Coverage: Everything covered in this course including all homework problems.
- Total 8 questions. There will be one set of True/False questions (Please note that you get full credit if you are correct, no credit for no answer, and negative of the assigned score if your answer to this question is incorrect). This exam will be geared toward giving advantages to those who were carefully following class discussions while keeping a good pace of doing homework.
- If you cannot make it to the in-class exam due to an official cause (including properly documented illness), you have to submit a Make-up Exam Application Form at your department.
The average was 46.90. The maximum score achieved by a student was 86.

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