Differential Geometry I
Course 7412005 Section 01, Spring 2020
Mondays 17:00 - 17:50, Thursdays 10:00 - 11:50, Room: E1-1 #136
Chungbuk National University
Instructor: Dr. Byungdo Park Email: 
Office Hours: Tuesdays 16:00--17:00 at E1-1 #110 or by appointment.
Syllabus: PDF
Announcements
2020-07-05: Letter grades have been submitted. Enjoy your summer break.
2020-06-30: Your final exam papers have been graded. You are welcome to set up an appointment with me to review your graded paper and request corrections. (I advise you to do so.) Please finish the review process no later than 18:00 July 2nd, 2020. After this time, your final scores and final grades will not be changed for any reason.
2020-06-07: If you arrive early on the exam date, please use the waiting room. See the final exam information.
2020-06-07: Youtube videos Sessions 42, 43, 44 are available now. Find links for video recordings from CBNU eCampus. This completes lecture uploads in this course.
2020-06-01: Homework #10 has been posted below.
2020-06-01: Homework #9 has been posted below.
2020-05-31: Youtube videos Sessions 38, 39, 40, 41 will be available on May 31st 23:59. Find links for video recordings from CBNU eCampus.
2020-05-31: The last day of class for this course is June the 26th (Friday), 18:00. All attendance claims and homeworks are due by this time. Whatever the reason is late homework/attendance claims will not be accepted after this time.
2020-05-31: Final exam announcement The detail has been posted below.
2020-05-23: Homework #8 has been posted below.
2020-05-23: Youtube videos Sessions 34, 35, 36, 37 will be available on May 24th 23:59. Find links for video recordings from CBNU eCampus.
2020-05-14: Homework #7 has been posted below.
2020-05-14: Youtube videos Sessions 30, 31, 32, 33 will be available on May 17th 23:59. Find links for video recordings from CBNU eCampus.
2020-05-14: Youtube videos Sessions 26, 27, 28, 29 are available now. Find links for video recordings from CBNU eCampus. Please send attendace emails by May 21st 15:00 (Late emails accepted with no disadvantage).
2020-05-11: Homework #6 has been posted below.
2020-05-04: Homework #5 has been posted below.
2020-05-04: Youtube videos Sessions 23, 24, 25 are available today at 17:00. (Homework problems will be posted later today or tomorrow.) Find links for video recordings from CBNU eCampus.
2020-04-27: Youtube videos Sessions 19 to 22 are now available. Find links for video recordings from CBNU eCampus.
2020-04-25: Homework #4 has been posted below.
2020-04-20: Midterm exam has been cancelled.
2020-04-20: Please find an update in our plan for make-up lesson schedules due to a new Corona Virus (COVID-19) outbreak below.
2020-04-16: Youtube videos Sessions 12 to 18 are now available. Find links for video recordings from CBNU eCampus.
2020-04-13: Homework #3 has been posted below.
2020-04-09: Youtube videos Sessions 4 to 11 are now available. Find links for video recordings from CBNU eCampus.
2020-04-09: Homework #2 has been posted below.
2020-04-09: In case we still do not meet in classroom by the due date of any homework, you do not have to come to school for only to hand-in your homework. You can either submit electronically or hand-in when we get to meet each other in classroom. As mentioned on syllabus, late homework are accepted equally. Please be aware of and cooperate in social distancing.
2020-04-09: Homework #1 has been posted below.
2020-04-06: Youtube videos Sessions 1 to 3 are now available. Find links for video recordings from CBNU eCampus.
2020-04-02: Please find an update in our plan for make-up lesson schedules due to a new Corona Virus (COVID-19) outbreak below.
2020-04-01: Please find an announcement below on remote classes using Youtube videos.
2020-03-31: Please find an update in our plan for make-up lesson schedules due to a new Corona Virus (COVID-19) outbreak below.
2020-03-24: Please find an update in our plan for make-up lesson schedules due to a new Corona Virus (COVID-19) outbreak below.
2020-03-06: Please see from below Updates and make-up lesson schedules due to a new Corona Virus (COVID-19) outbreak.
2020-03-06: Welcome!
Homework
Unless otherwise stated, problem numbers below refer to Solved Problems and Supplementary Problems at the end of each chapter.
Homework #1 9 problems. Due Date: April 23rd.
Problems from Chapter 3 (Part 1): #1, 9, 15, 21, 25, 26, 31, 32, 34.
Homework #2 10 problems. Due Date: April 28th.
Problems from Chapter 3 (Part 2): #17, 18
Problems from Chapter 4 (Part 1): #1, 2, 4, 5, 9, 26, 27, 29
Homework #3 10 problems. Due Date: May 7th.
Problems from Chapter 4 (Part 2): #11, 12, 13, 16, 17, 18, 19, 21, 28, 30
Homework #4 10 problems. Due Date: May 14th.
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: May 21st.
Problems from Chapter 5 (Part 2): #14, 15, 16, 35
Problems from the National Exam: PDF.
Homework #6 7 problems. Due Date: May 21st.
Problems from Chapter 5 (Part 3): #22, 23, 24, 33
Problems from the National Exam: PDF.
Homework #7 11 problems. Due Date: May 28th.
Problems from Chapter 7 (Part 1): #2, 3, 4, 8, 15
Problems from the National Exam: PDF.
Homework #8 11 problems. Due Date: June 4th.
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: June 11th.
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 19th.
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
Midterm Exam: Cancelled.
Final Exam: 23 June (Tuesday) at E1-2 Room 306, 15:00--16:50. (If you arrive early, please wait at E1-1 Room 140.)
- 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.), 4 questions which are identical or directly related to homework problems and/or those theories and examples discussed in class. In particular there will be at least 1 problem (can be more than 1) asking about dual vector spaces, differential forms, and the second derivative test using the Hessian. The remaining 3 questions will be taken from old national exam problems or mock test problems. This exam would gear toward giving advantages to those who were carefully following class discussions while keeping a good pace of doing homework.
The average was 51.13, standard deviation 22.66, and the maximum score achieved by a student 92.
Updates and make-up lesson schedules due to a new Corona Virus (COVID-19) outbreak
Following the decision of the university center, the first day of class has been deferred to March 16th. Also following another decision of the university, we shall not meet during the period March 16th to 28th. For those 6 contact hours, we shall have make-up classes on Tuesdays, March 31st, April 7th, 14th, 21st, 28th, and May 12th at 16:00--16:50 at E1-1 Room 136. Please stay tuned for any further updates which will be posted on the course webpage.
Update as of 2020-03-24: The university center has decided not to meet in classroom for an extra week. Accordingly, we shall not meet during the period March 29th to April 4th. We make-up those additional 3 contact hours on May 19th, 26th, and June 2nd at 16:00--16:50 at E1-1 Room 136. Additionally, we reschedule our March 31st make-up session on June 9th at 16:00--16:50 also at E1-1 Room 136.
Update as of 2020-03-30: The university center has decided not to meet in classroom for an extra week. Accordingly, we shall not meet during the period April 5th to April 11th. We make-up first 3 weeks (9-contact hours) by having make-up classes on Tuesdays, April 14th, 21st, 28th, and May 12th, 19th, 26th, June 2nd, 9th, 16th at 16:00--16:50 at E1-1 Room 136. For the 3 contact hours for the fourth week, you will be provided video-recorded lectures. More details to be posted. Please stay tuned!
Remote classes using Youtube videos (2020-04-01): Starting the week of April 6th, we shall have remote classes using video-recorded lectures posted on Youtube. The platform will be CBNU e-Campus (Blackboard) wherein you will be able to find Youtube video links. By April 6th 17:00, you will be provided video recordings of lectures for the first 3 contact hours. You will have to write an email as instructed via email with an answer key (provided in the video) for each contact hour. Please check your email for relevant policies.
Update as of 2020-04-02: The university center has decided not to meet in classroom until April 25th. Accordingly, we shall not meet during the period April 12th to April 25th. Via our "Remote Classes using Youtube videos (your attendance record will be counted)," in Week 5 (April 12--18), we cover total 8 contact hours (corresponding to Week 5 all sessions, Week 1 all sessions, and Week 3 Sessions 1 and 2) and in Week 6 (April 19--25) total 7 contact hours (corresponding to Week 6 all sessions, Week 2 all sessions, and Week 3 Session 3). In addition to that, we schedule extra make-up classes on April 28th, May 12th, May 19th, May 26th, June 2nd, June 9th, and June 16th at 16:00--16:50 at E1-1 Room 136 in order to ensure the quality of the education offered in this class.
Update as of 2020-04-20: The university center has decided not to meet in classroom until the end of the semester. Accordingly, we shall not meet in classroom until the end of the semester. We shall replace those plans for in-class lectures by Youtube video lectures. Following the decision of the university, the midterm exam has been cancelled and you will get the score 100% for your midterm exam.
Links
Webpage of Byungdo Park
CBNU Mathematics Education Department Homepage