The History of Mathematics (David M. Burton)
UNIVERSITY OF SARGODHA
DEPARTMENT OF MATHEMATICS
COURSE OUTLINE Spring 2021
Course Title: History of Mathematics
Course Code: MATH429
Credit Hours: 03
Instructor: FARYAL ANJUM
Email: [email protected]
DESCRIPTION & OBJECTIVES
There are many excellent reasons to study the history of mathematics. It helps students develop a deeper understanding of the mathematics they have already studied by seeing how it was developed over time and in various places. It encourages creative and flexible thinking by allowing students to see historical evidence that there are different and perfectly valid ways to view concepts and to carry out computations. Ideally, a History of Mathematics course should be a part of every mathematics major program. The objectives (and outcomes) for math history courses also include clear, critical, creative, and flexible thinking, and an appreciation for the beauty and joy of mathematics.
READINGS
Recommended book
1. Boyer C.B. and Mersbach U.V. The History of Mathematics. 2nd ed. John Wiley, 1989.
2. David M. Burton, The History of Mathematics: An Introduction, 7th Ed. McGrawHill, 2010
3. Boyer, Carl B. and (revised by) Uta Merzbach, A History of Mathematics, New York: John Wiley, 2nd ed., 1989.
CONTENTS
History of numerations; Egyptian, Babylonian, Hindu and Arabic contributions. Algebra: Including the contributions of AlKhwarzmi and Ibn Kura. Geometry: areas, the work of AlToussi on Euclid’s axioms. Analysis: The CalculusNewton, Lebnitz, Gauss. The concept of limit: Cauchy, Laplace. An introduction to some famous old open problems.
COURSE SCHEDULE
Week 
Topics and Readings 
Dates 
1. 
History of numerations; Egyptian 
Feb 2226, 2021 
2. 
History of numerations; Babylonian 
Mar 0812, 2021 
3. 
The concept of limit: Cauchy 
Mar1519, 2021 
4. 
The concept of limit: Laplace 
Mar 2226, 2021 
5. 
Contribution of Hindu Scholars 
Mar 29Apr 02, 2021 
6. 
Contribution of Arabic Scholars 
Apr 0509, 2021 
7. 
Hindu and Arabic System of Numeration 
Apr 1216, 2021 
8. 
Mid Term Exam 
Apr 1923, 2021 
9. 
Algebra: Including the contributions of AlKhwarzmi 
Apr 2630, 2021 
10. 
Algebra: Including the contributions of Ibn Kura 
May 0307, 2021 
11. 
Geometry: areas, the work of AlToussi on Euclid’s axioms 
May 1014, 2021 
12. 
Newton work in Calculus 
May 1721, 2021 
13. 
Lebnitz work in Calculus 
May 2428, 2021 
14. 
Gauss work in Calculus 
May 31 June 04, 2021 
15. 
Difference between Newton and Leibnitz ; Calculus 
June 0711, 2021 
16. 
An introduction to some famous old open problems.

June 1418, 2021 
17. 
Final Term Exam 
June 2125, 2021 
RESEARCH PROJECT
N/A
ASSESSMENT CRITERIA
Mid exam: 30
Sessional: 20
Project: 
Assignments: 10
Presentation: 10
Final exam: 50
Total: 100
RULES AND REGULATIONS
75% attendance is compulsory to appear in Final Term exam.