Differential Geometry I
Course 7412005 Section 01, Spring 2021
Wednesdays 15:00 - 15:50, Thursdays 14:00 - 15:50, Room: eCampus and E1-2 #306
Chungbuk National University
Instructor: Dr. Byungdo Park Email: 
Office Hours: By appointment -- due to COVID-19.
Syllabus: PDF
Announcements
2021-06-21: Letter grades have been submitted. Enjoy your summer break.
2021-05-27: Final exam announcement The detail has been posted below.
2021-05-14: Homework #10 has been posted below.
2021-05-14: Homework #9 has been posted below.
2021-04-26: Homework #8 has been posted below.
2021-04-26: Homework #7 has been posted below.
2021-04-19: PBL project related: Find relevant details on your PBL project for this course below.
2021-04-05: Homework #6 has been posted below.
2021-04-05: Homework #5 has been posted below.
2021-03-22: Homework #4 has been posted below.
2021-03-12: Homework #3 has been posted below.
2021-03-09: Homework #2 has been posted below.
2021-03-02: Homework #1 has been posted below.
2021-03-01: Welcome!
Homework
Unless otherwise stated, problem numbers below refer to Solved Problems and Supplementary Problems at the end of each chapter.
Homework #1 11 problems. Due Date: March 21st.
Problems from Chapter 3: #1, 9, 15, 17, 18, 21, 25, 26, 31, 32, 34.
Homework #2 8 problems. Due Date: March 28th.
Problems from Chapter 4 (Part 1): #1, 2, 4, 5, 9, 26, 27, 29
Homework #3 10 problems. Due Date: April 4th.
Problems from Chapter 4 (Part 2): #11, 12, 13, 16, 17, 18, 19, 21, 28, 30
Homework #4 10 problems. Due Date: April 11th.
Problems from Chapter 4 (Part 3): #32, 33, 34, 35, 38
Problems from Chapter 5 (Part 1): #5, 7, 8, 25, 28
Homework #5 8 problems. Due Date: April 18th.
Problems from Chapter 5 (Part 2): #14, 15, 16, 35
Problems from the National Exam: PDF.
Homework #6 7 problems. Due Date: April 25st.
Problems from Chapter 5 (Part 3): #22, 23, 24, 33
Problems from the National Exam: PDF.
Homework #7 11 problems. Due Date: May 9th.
Problems from Chapter 7 (Part 1): #2, 3, 4, 8, 15
Problems from the National Exam: PDF.
Homework #8 11 problems. Due Date: May 16th.
Problems from Chapter 7 (Part 2): #12, 14, 19, 21, 23, 28, 29
Problems from the National Exam: PDF.
Homework #9 12 problems. Due Date: May 23th.
Problems from Serge Lang, Linear Algebra, 3rd Ed. p.131 Exercise #6
Problems from M. P. do Carmo, Differential forms and applications, p.10 Exercise #1, 2, 5, 7, 10
Problems from the National Exam: PDF.
Homework #10 12 problems. Due Date: June 6th.
Problems from Marsden and Tromba, Vector Calculus, p.182 Exercise #1, 5, 18, 22, 29, 31
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
Exam Schedules
Final Exam: 10 June (Thursday) 14:00--15:40 at E1-2 Room 306.
- Coverage: Chapters 3, 4, 5, and 7 of the main textbook and provided references (available on the e-Campus).
- 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.
Assessment of Project-Based Learning (PBL)
As announced in the syllabus, you must 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