Teaching Team Members

Subject Lecturer: Dr. LEE Heung Wing Joseph 李向榮博士, (for contact, see bottom of this page), and contact also via Zoom Chat Function (see Blackboard under “Groups” to opt)

Tutor: Leung Man Kin Adam  梁文鍵,  email: adam.leung@polyu.edu.hk

·       Lecture Notes Set #01 (a pdf file) 中國古代數學概論.

·       Pre-recorded lecture video: page 01 to page 15

·       Pre-recorded lecture video: page 16 to page 29

·       Pre-recorded lecture video: page 30 to page 35

·       Pre-recorded lecture video: page 36 to page 46

·       Pre-recorded lecture video: page 47 to page 60

·       Pre-recorded lecture video: page 61 to page 87

·       Lecture Notes Set #02 (a pdf file) 開方術.

·       Pre-recorded lecture video: page 01 to page 35

·       Pre-recorded lecture video: page 36 to page 54

·       Pre-recorded lecture video: page 55 to page 71

·       An excel file using《孫子算經》開方術 to find an approximation to the positive square root of 123456.

·       Pre-recorded lecture video: page 72 to page 110

·       Pre-recorded lecture video: page 111 to page 138

·       Pre-recorded lecture video: page 139 to page 166

·       Pre-recorded lecture video: page 167 to page 203

·       Pre-recorded lecture video: page 204 to page 224

·       An excel file using Horner Method on 尖田求積.

·       Lecture Notes Set #03 (a pdf file) 海島算經.

·       Pre-recorded lecture video: page 01 to page 33

·       Pre-recorded lecture video: page 34 to page 43

·       Pre-recorded lecture video: page 44 to page 71

·       Lecture Notes Set #04 (a pdf file) 中國剩餘定理,

·       Pre-recorded lecture video: page 01 to page 21

·       Pre-recorded lecture video: page 22 to page 38

·       and an extra brief note on Sexagenary cycle (干支循環) (a pdf file).

·       Pre-recorded lecture video: Sexagenary cycle

·       Lecture Notes Set #05 (a pdf file) 測圓海鏡.

·       Pre-recorded lecture video: page 01 to page 26

·       Pre-recorded lecture video: page 27 to page 35

·       Pre-recorded lecture video: page 36 to page 54

·       Pre-recorded lecture video: page 55 to page 83

·       Lecture Notes Set #06 (a pdf file) Mathematics in Ancient Egypt and Mesopotamia.

·       Pre-recorded lecture video: page 01 to page 20

·       Pre-recorded lecture video: page 21 to page 41

·       Pre-recorded lecture video: page 42 to page 52

·       Pre-recorded lecture video: page 53 to page 58

·       Pre-recorded lecture video: page 59 to page 65

·       Pre-recorded lecture video: page 66 to page 75

·       Pre-recorded lecture video: page 76 to page 91

·       Supplementary note on Sexagesimal (base 60) Division, Reciprocal, and Regular Numbers.

·       Pre-recorded lecture video: page 92 to page 107

·       Pre-recorded lecture video: page 108 to page 127

·       Lecture Notes Set #07 (a pdf file) Mathematics in Ancient Greece.

·       Pre-recorded lecture video: page 01 to page 15

·       Pre-recorded lecture video: page 16 to page 38

·       Pre-recorded lecture video: page 39 to page 59

·       Pre-recorded lecture video: page 60 to page 74

·       Pre-recorded lecture video: page 75 to page 100

·       Lecture Notes Set #08 (a pdf file) Mathematics in Ancient India.

·       Pre-recorded lecture video: page 01 to page 21

·       Pre-recorded lecture video: page 22 to page 37

·       Lecture Notes Set #09 (a pdf file) Mathematics in Ancient Islamic World.

·       Pre-recorded lecture video: page 01 to page 13

·       Pre-recorded lecture video: page 14 to page 30

·       Lecture Notes Set #10 (a pdf file) Mathematics in Europe since Renaissance.

·       Pre-recorded lecture video: page 01 to page 10

·       Pre-recorded lecture video: page 11 to page 16

·       Pre-recorded lecture video: page 17 to page 27

·       Pre-recorded lecture video: page 28 to page 41

·       Pre-recorded lecture video: page 42 to page 57

·       Lecture Notes Set #11 (a pdf file) A Brief Introduction to Ancient Japanese Mathematics.

·       Tutorial Set #01 (a pdf file)

·       Tutorial Set #02 (a pdf file)

·       Tutorial Set #02 Extra (a pdf file)

·       Tutorial Set #03 (a pdf file)

·       Tutorial Set #04 (a pdf file)

·       Tutorial Set #05 (a pdf file)

·       Tutorial Set #06 (a pdf file)

·       Tutorial Set #07 (a pdf file)

·       Tutorial Set #08 (a pdf file)

Assignments: There are 2 assignments (Assig01 worth 7%, Assig02 worth 3%).

Solutions with detailed workings should be submitted via Blackboard (under Content) on or before the corresponding due dates (Thursday of week 9 for Assignment 01, and Thursday of week 13 for Assignment 02).

 Scan solutions into one single clear and readable PDF file with file size no bigger than 2MB, and the file name must be student’s name with surname first, and the submission must be made by 5:00pm on the due date, with a signed covering declaration. Note that only one single submission via Blackboard will be allowed for each assignment. No other form of submissions will be accepted (for example, email submissions will not be accepted). Students should do all their assignments individually unless stated otherwise.

·       Assignment 1 (a pdf file) Due date Thursday 19 Mar 2024 [Thursday of Week 9].

·       Please click here for a suggested solution to Q1 (available soon after the due date).

·       Please click here for a suggested solution to Q2 (available soon after the due date).

·       Please click here for a suggested solution to Q3 (available soon after the due date).

·       Please click here for a suggested solution to Q4 (available soon after the due date).

·       Please click here for a suggested solution to Q5 (available soon after the due date).

·       Assignment 2 (a pdf file) Due date Thursday 16 Apr 2024 [Thursday of Week 13].

·       Please click here for a suggested solution (available soon after the due date).

·       Quizzes (multiple choice questions) : There are two in-class small quizzes (worth 10% each) during the tutorial class on campus.

·       Quiz 01 will be conducted during tutorial class time on 07 Mar [Tutorial in Week 7], and

·       Quiz 02 will be conducted during tutorial class time on 21 Mar [Tutorial in Week 9].

·        (Announcements will be made in due course on blackboard about the venue of the quizzes).

·       The first quiz will be held on week 7 during the first 30 minutes in tutorial class, and there will be multiple-choice questions covering materials of #1 and #3 of the CR reading list.

·       #1. 吳文俊、白尚恕、沈康身，《劉徽研究》，九章出版社，1993。 pp. 79-86, 87-103, 104-121, 385-394, 402-413.

·       #3. 紀志剛，《南北朝隋唐數學》，河北科學技術出版社，1999。 pp. 1-44, 356-386.

·       The second quiz will be held on week 9 during the first 30 minutes in tutorial class, and there will be multiple-choice questions covering materials of #2 and #4 of the CR reading list.

·       #2. 郭金彬、孔國平，《中國傳統數學思想史》，科學出版社，2004。 pp. 284-336.

·       #4. 孔國平，《李冶朱世傑與金元數學》，河北科學技術出版社，1999。 pp. 36-80, 291-311.

Project (must be written in Traditional Chinese 繁體中文) :

The project is on Ancient Chinese Mathematics, and it is a major component of the subject (40% AMA, 10% CBS ). There are over 60 different fixed topics for 60 students to choose from, and students should choose/sign-up for exactly one topic each in Blackboard (in AMA1D01C, under groups) on a first-come-first- served basis. Based on the signed-up topic, each student should submit a detailed project title + proposal on the project.

On Tuesday 06 Feb [Thursday Week 4] by 5pm, each student should submit soft copies (both in MS Word + scanned PDF format (of a single file with file size no bigger than 2MB, and file name be made name of the student with family name first)) of the project proposal (worth 5%) [a project title with at least 700 words description in Traditional Chinese (in 繁體中文 ), together with its Turn-it-in report (in soft copies via Blackboard), a reference list must also be provided, with at least two books (cited in APA format, and also provide the ISBN if possible) and web-sites (if any) with valid URL]. Please note that the lower limit 700 words count (excluding title, excluding subsection titles, excluding punctuation, and excluding reference list) should be according to the Turnitin system (not according to MS Word).

On Tuesday 16 Apr [Tuesday of week 13] by 5pm, student should submit the project (worth 30%) (both in MS Word + scanned PDF format (of a single file with file size no bigger than 3MB, and file name be made name of the student with family name first)) with 2000-3000 Chinese characters in 繁體中文, in the format as stipulated by CBS, together with its Turn-it-in report (in soft copies) via Blackboard the same way as in submitting the project proposal.

On Tuesday 16 Apr [Tuesday Week 13] by 5pm, student must submit a PPT file for presentation to Turn-it-in via Blackboard, as well as a 5 minutes presentation video (in local Cantonese) (PPT + video together worth 5%). (presentation video should be uploaded into Panopto, also like all other submissions via Blackboard under the designated item in “Content”)

CBS will be monitoring the quality of Chinese Writing of the project, the 1st draft (700字) should be submitted to CBS on Sunday 11 Feb and the 2nd draft (2000字) submitted to CBS on Sunday 17 Mar (two drafts together worth 10%).

Projects with missing components (missing any one of proposal, presentation PPT, presentation video, final submission, Turn-it-in score of proposal/PPT/final submission of the project before the corresponding due dates) could be considered as non-completion of the project, and thus, could result in zero score (of the 40%).

·       Examination : The final examination (predominately with multiple choice questions) worth 20% will be held at the end of the semester on campus.

·       CR designation reading list (materials for the two Quizzes) (check your Blackboard for details) :

1.     吳文俊、白尚恕、沈康身，《劉徽研究》，九章出版社，1993。 pp. 79-86, 87-103, 104-121, 385-394, 402-413. (total 65 pages) 

2.     郭金彬、孔國平，《中國傳統數學思想史》，科學出版社，2004。 pp. 284-336. (total 53 pages) 

3.     紀志剛，《南北朝隋唐數學》，河北科學技術出版社，1999。 pp. 1-44, 356-386. (total 75 pages) 

4.     孔國平，《李冶朱世傑與金元數學》，河北科學技術出版社，1999。 pp. 36-80, 291-311. (total 66 pages) 

Students are advised to check with CBS separately on their schedules on Chinese Writing classes.

Other Reference:

·       錢寶琮,《中國數學史》, 科學出版社, 1981。 

·       李儼、杜石然, John N. Crossley, Anthony W.C. Lun,《中國數學》Chinese Mathematics A 
Concise History, Clarendon Press Oxford,1987。

·       吳文俊主編，《中國數學史大系》Vol 1 - Vol 8，北京師範大學出版社，2000。 

·       李迪，《中國數學史簡編》，遼寧人民出版社，1984。 

·       Victor J. Katz, A History of Mathematics An Introduction 2ed, Addison Wesley, 1998. 


·       David M. Burton, The History of Mathematics An Introduction 7ed, McGraw Hill, 2011. 

·       Roger Cooke, The History of Mathematics A Brief Course 2ed, Wiley, 2005. 

·       John Stillwell, Mathematics and Its History 3ed, Springer, 2010.

·       Morris Kline, Mathematical Thought from Ancient to Modern Times, Vol 1 - Vol 3, Oxford University Press, 1972.

·       David Eugene Smith, History of Mathematics, Vol 1 - Vol 2, Dover, 1951.

·       William P. Berlinghoff and Fernando Q. Gouvea, Math through the Ages: A Gentle History for Teachers and Others, Expanded Edition, Oxton House Publications and The MAthematical Association of America, 2004.

Access to AMA Math Lab (M301/M302):

Students officially registered for the subject would be granted access to AMA Maths Lab (with a small printing quota of 150 pages) only for the semester. Students should check the open hours published on the AMA web.·      

Students should be using the official PolyU student zoom account to communicate via Zoom Chat (image) with the subject lecturer (for the first time, student should state clearly the name of the subject, the student name, as well as the student id) (and student cannot change their zoom name originally set by PolyU/ITS). Note that, pure plain keyboard texting is not an effective way to communicate maths questions, as students cannot formulate the questions properly to ask teaching team members without maths symbols, and teaching team members cannot answer effectively without a whiteboard (when most students do not know latex). Thus, Zoom video sessions with the use of zoom whiteboard functions would be preferred. Throughout the semester, Subject Lecturer may contact students individually using the Zoom Chat functions only. Students should set up their Zoom account properly and accept the Zoom Contact Invitation by the Subject Lecturer whenever they receive one.·      

The delivery mode of this subject is 1 two-hours lecture and 1 one-hour tutorial per teaching week (students should join their own tutorial group assigned to them).

Please check with this web site as well as Blackboard from time to time to see new updates on teaching materials.