Plimpton 322

Abdulla Eid


Assistant Professor of Mathematics

University of Bahrain, Bahrain Teachers College

Course log page

Here you can find the weekly breakdown of what was covered in class. Also you can download the lecture notes that I wrote on the board.

Week 16

Sunday 31.5.2015

Presentation about the final project. It is the last day of classes.

Tuesday 2.6.2015

Final oral Exam.

Wednesday 3.6.2015

Final oral exam.

Week 15

Sunday 24.5.2015

Hamming code (7,4) was introduced. The class note is here.

Wednesday 27.5.2015

Check--digit in ISBN, UPC, etc. The class note is here.

Week 14

Sunday 17.5.2015

Vigenere and Substitution ciphers. The lecture notes can be found here.

Wednesday 20.5.2015

Exam 2.

Week 13

Sunday 10.5.2015

Modular Arithmetic and introduction to cryptography. The class note is here.

Wednesday 13.5.2015

Shift and Affine cipher have been introduced. The class note is here.

Week 12

Tuesday 5.5.2015

Continuation of the voting systems. The class note is here.

Wednesday 6.5.2015

Properties of the voting systems, modular arithmetic. The class note is here.

Week 11

Sunday 26.4.2015

Voting systems up to the plurality voting. The class note is here.

Wednesday 29.4.2015

No Class.

Week 10

Sunday 19.4.2015

Annuity and Amortization. Exercise sheet can be found here.

Wednesday 22.4.2015

Presentation of the reading assignment 4 and quiz 6.

Week 9

Sunday 12.4.2015

Introduction to the banking system. Recall from the prervious course TC2MA213: Further Mathematics topics about the geometric sequences, sum formula and geometric series. As a bonus homework, sierpinski carpert example was illustrated in class and the students need to find the sum of the area removed, explain the phenomena, and to try to build the carpet on a rubber paper.

Wednesday 15.4.2015

Simple and Compound interest.

Reading Assignment 4

Continuation of the application of the geometric sequence to the banking system. Simple and Compound interests have been introduced.

You will need to work in groups in a reading assignment. You are supposed to do two things. First, you visit a bank of your choice in Bahrain and to ask about their annual percent rate (APR) for loans, saving account, certified deposits. Second, you need to do an analysis for the three types:

  1. You take a loan of 12,000 BD to be returned in 5 years. How much is the monthly payment and the total interest?
  2. You would like to save 12,000 BD for 5 years. How much interest you will earn?
  3. You would like to save 200 BD monthly for 5 years. How much interest you will earn?

Week 8

Sunday 5.4.2015

Groups 3,4, and 5 did their part in the presentation of the group assignment 3.

Wednesday 8.4.2015

Quiz 4 was given at the beginning of the class. Then, groups 6 and 7 did their part in the presentation of the reading assignment 3.

Week 7

Sunday 29.3.2015

Groups 1 and 2 did their part in the presentation of the group assignment 3.

Wednesday 1.4.2015

Exam 1 will be held in the class from 11:20 AM -- 12:50 PM.

Week 6

Sunday 22.3.2015

No class. Students are expecting to attend the session "Leading Primary Boys Schools, Experiences and Challenges" which will take place in Hall 47 , University of Bahrain adminstration Building from 10:00 AM till 12:00AM

Wednesday 25.3.2015

We finished the Mathematics in the Midieval and Renaissance Europe. We also discussed the four property that makes the Mathematics is a special science. These are from the book "Math and Love" by Edward Frenkel. The class note is here.

Week 5

Sunday 15.3.2015

Groups 1,2, 3, and 4 did their presentation of the reading assignment 2.

Reading Assignment 3

You will need to work in groups in a reading assignment. You are expected to read, summarize and present in class for about 15 minutes about one of the famous mathematicians in modern mathematics in Europe. You can use slides (no more than 10 slides with the references). Each presentation should start with introduction, contribution (detailed one is required) and conclusion. Remember, you goal is to teach other students a new idea, so make sure you deliver it right. You might also choose any other mathematician from the modern era of your choice.

  1. Group 1: Descartes.
  2. Group 2: Fermat.
  3. Group 3: Newton.
  4. Group 4: Leibniz.
  5. Group 5: Euler.
  6. Group 6: Gauss.
  7. Group 7: Riemann.

Wednesday 18.3.2015

Groups 5,6, and 7 did their presentation of the reading assignment. After that, we started chapter 7 about the mathematics in the Midieval period and we shall continue in the next class. The class note is here

Week 4

Sunday 8.3.2015

We started chapter 4 about the Chinese Mathematics. We covered both chinese numeration system and Rod system. We also talked about their contribution to the Algebra and Geometry. We tried to work out a method in finding a normal magic square of order 4. The class note is here.

Reading Assignment 2

You will need to work in groups in a reading assignment. You are expected to read, summarize and present in class for about 15 minutes about one of the famous mathematicians in the Islamic civilization. You can use slides (no more than 10 slides with the references). Each presentation should start with introduction, contribution (detailed one is required) and conclusion. Remember, you goal is to teach other students a new idea, so make sure you deliver it right. You might also choose any other mathematician from the Islamic world of your choice.

  1. Group 1: Bait Al Hekma.
  2. Group 2: Al-Khwarizmi.
  3. Group 3: Thabit ibn Qurra.
  4. Group 4: Ghiyath Al Din Al Kashi.
  5. Group 5: Ibn AlHayytham.
  6. Group 6: Omar AlKhayyam.
  7. Group 7: Abu Al Wafaa AlBozjani

Wednesday 11.3.2015

We finished chapter 5 about Indian mathematics. We have two homework problems for next Sunday March 15, 2015. The class note is here.

Week 3

Sunday 1.3.2015

We finished from the Greek numeration symbols including fractions. We also did the Greek computation way. The rest of the class was devoted for the reading assignment of groups 1,2,3, and 5. The class note is here.

Wednesday 4.3.2015

Presentation of groups 4,6, and 7. We had Quiz 1 for the rest of the class. The presentation of all groups can be found here Here.

Week 2

Sunday 22.2.2015

We started chapter 2 about the Babylonian Mathematics. Babylonian symbols, numeral, fraction and their decimal equivalent were introduced. We started to discuss addition and multiplication. The class note is here.

Wednesday 25.2.2015

We finished the division, algebra of geometry in the Babylonian civilization. We moved then to chapter 3 about the Greek Mathematics and we just did the symbols and numbers. Next time we should start off with fractions. The class note is here.

Reading Assignment

You will need to work in groups in a reading assignment. You are expected to read, summarize and present in class for about 10 minutes and you can use slides (no more than 5 slides with the references). Groups 7 and 8, you might find this Lecture by Michael Fowler useful for you.

  1. Group 1: Pages 36 --> 37 up to "Among ...".
  2. Group 2: Pages 37 --> 38 starting from "Among ..".
  3. Group 3: Pages 39 --> 41.
  4. Group 4: Pages 41 --> 42 Section 2.2 about Plato.
  5. Group 5: Pages 43 --> 44 Section 2.3 Aristotle and logic.
  6. Group 6: Sections 2.3.2 and 2.3.3 about Numbers vs Magnitude and Zeno's Paradoxes.
  7. Group 7: Search how did Archimedes approximate the $\pi $
  8. Group 8: Search how did Pythagoras approximate square root of 2.

The pdf file for all the presentation can be find here. Please take the information here with caution!

Week 1

Sunday 15.2.2015

Introduction to the course. Discussion of the syllabus. We finished chapter 1, Sections 1.1 (Egyptian civilization), 1.2 (Egyptian symbols). The class note is here.

Wednesday 18.2.2015

Finalization of the syllabus. We finished chapter 1, Sections 1.3 (Egyptian addition), 1.4 (Egyptian multiplication and division), 1.5 (Egyptian Algebra), and Section 1.6 (Egyptian Geometry). The class lecture note is here.