Differential Geometry I

Course 7412005 Section 01, Spring 2023

Tuesdays 13:00 - 13:50, Wednesdays 10:00 - 11:50, Room: E1-1 #140

Chungbuk National University


Instructor: Dr. Byungdo Park          Email:
Office Hours: Tuesdays 18:00--18:50 at E1-1 Room 110.
Syllabus: PDF

Announcements

2023-06-15: Letter grades have been submitted. Enjoy your summer break.
2023-05-28: Final exam announcement The detail has been posted below.
2023-05-28: Homework #8 has been posted below.
2023-05-28: The announcement of the dispute procedure (2023.05.20.) has been updated. See the link therein.
2023-05-24: Click this link to book a meeting to set up an appointment for looking at your graded 2nd midterm exam papers.
2023-05-23: The announcement of the dispute procedure (2023.05.20.) has been updated. See the link therein.
2023-05-20: Announcements The last day to dispute your grade details and relevant information are here.
2023-05-10: Homework #7 has been posted below.
2023-05-10: Homework #6 has been posted below.
2023-05-10: The 2nd midterm exam announcement The detail has been posted below.
2023-04-15: Homework #5 has been posted below.
2023-03-30: The 1st midterm exam announcement The detail has been posted below.
2023-03-30: Homework #4 has been posted below.
2023-03-26: The 1st midterm exam will cover all materials in Chapters 3 and 4. There will be a handout consisting of 8 old national exam problems but only 1 problem will appear in the 1st midterm. (I shall leave out 3 problems for the 2nd midterm and the final exam. So for the 1st midterm, it is 1 out of 5.) In the meantime, please read the textbook thoroughly and master homework problems.
2023-03-26: Homework #3 has been posted below.
2023-03-26: Homework #2 has been posted below.
2023-03-10: Homework #1 has been posted below.
2023-03-01: Announcements Please see the standard operation procedures for an absentism due to SARS-CoV-2. PDF
2023-03-01: Lecture notes will be made available on CBNU eCampus hopefully by the weekend of each class meeting.
2023-03-01: 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.

Exam Schedules

1st midterm exam: 11 April (Tuesday) 13:00--13:50 in-class.
- Coverage: Chapters 3 and 4 of the main textbook and Handout 1 problems (2016 to 2020 problems only; 2021 to 2023 problems will be covered in the 2nd midterm)
- Total 4 questions.
- 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. Here is a handout about make-up exam policies.
The average was 85.52. The maximum score achieved by a student was 100.

2nd midterm exam: 23 May (Tuesday) 13:00--13:50 in-class.
- Coverage: Chapter 5 of the main textbook, Chapters 1 and 3 of O'Neill's book (only those parts we covered), Handout 1 problems (2021 to 2023 problems), Handouts 2 and 3.
- Total 4 questions.
- 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. Here is a handout about make-up exam policies.
The average was 76.39. The maximum score achieved by a student was 100.

Final Exam: 14 June (Wednesday) 10:00--11:40 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. Here is a handout about make-up exam policies.
The average was 62.57. The maximum score achieved by a student was 89.

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