Note: We will use the abbreviations D = Journey Through Genius by W.H. Dunham, B& G = Math Through the Ages by Berlinghoff and Gouvea, and MTM = The MacTutor History of Mathematics Archive
Week
Topic
Readings
to be read before Monday's class
Homework Assignments
due Wednesday after assigned
Important Dates
Week 1
1/16-1/19
*Overviews of the history of mathematics
*The history of numerals
*The history of zero
* Important historical names, dates, and events
*Mathematical Periods
*MTM: An overview of the history of mathematics
*B&G: Sketch 1(p67-72), Sketch 3(p 81 - 84)
* Math Autobiography
* How to recognize plagiarism: Tutorial and Test
(complete test, hand in the signed, completed certificate
Week 2
1/22-1/26
*Babylonian mathematics
*Egyptian Mathematics
*MTM An overview of Babylonian Mathematics
*MTM An overview of Egyptian Mathematics
(Note: These readings are due Wednesday because of the snow day)
Group Work 1: Due 1/26/18
Paper 1 draft and draft cover letter
(see guidelines in Homework section)
Week 3
1/29-2/2
*Early Greek mathematics
*Euclid's Elements: Geometry
D: Chapter 1 (p 1-11)
D: Chapter 2 (p 27-53) - may skip proof of Prop I:15, 16, 26, 27, 32, 41
Group Work 2: Due 2/2/18 in class
Week 4
2/5-2/9
*Non-Euclidean Geometries
*Euclid's Elements: Number Theory
B&G: Sketch 19 (p 195-200)
D: Chapter 2 (p 53-60, you may skip the proof of Theorem AAA)
D: Chapter 3 (p 68-75)
Group Work 3: Due 2/9/18 in class
Week 5
2/12-2/16
*Archimedes and the circular area
*Greek mathematics after Archimedes
D: Chapter 4 (p 84-112, you may skip the proofs)
D: Chapter 5 (p 113-132, you may skip the proofs)
Group Work 4: Due 2/16/18 in class FINAL VERSION PAPER 1
Section 002: Due Wednesday 2/14
Section 003: Due Friday 2/16
Week 6
2/19-2/23
*The history of π
B&G: Sketch 7 (p 107-110)
Group Work 5: Due 2/23/18 in class
Paper 2 Proposal: Due in class 2/23/18
Week 7
2/26-3/2
*Arabic mathematics
*The cossic art
MTM: An overview of Arabic mathematics
B&G: Sketch 8 (p 115-120)
Group Work 6: Due 3/01/18 in class
Week 8
3/5-3/9
*Renaissance: solutions to
cubic and quartic equations
*The quintic equation and group theory:
Abel and Galois
B&G: Sketch 11 (p 135-138)
D: Chapter 6 (p 133-154, you may skip the proof)
Paper 2 First Draft: Due 3/07/18 in class
Paper 2 First Draft: Due 3/07/18 in class
Spring Break
3/12-3/16
Week 9
3/19-3/23
*Descartes, Fermat, and Newton
B&G: Sketch 13 (p 149-154)
D: Chapter 7 (p 155-174, 177-183)
Week 10
3/26-3/30
*Calculus: Newton, Leibniz, the Bernoullis
B&G: Sketch 30 (p 279-284)
D: Chapter 8 (p 184-206)
Group Work 7: Due 3/28/18 in class
Group Work 8: Due 3/30/18 in class
FINAL VERSION PAPER 2
Due Wednesday 3/28
Week 11
4/2-4/6
*Euler
D: Chapter 9 (p 207-222)
D: Chapter 10 (p 223-235, You may skip the proofs)
Week 12
4/9-4/13
*From Gauss to Cantor
*Overview of 19th century mathematics
B&G: Sketch 6 (p 103-106)
D: Chapter 11 (p 245-266)
MTM: A biography of Gauss
FIRST DRAFT PAPER 3
Due Friday 4/13
Week 13
4/16-4/20
*Cantor, Hilbert, Russell, Goedel
*The foundation of mathematics
B&G: Sketch 25 (p 239-244)
B&G: Sketch 29 (p 271-276)
D: Chapter 12 (p 267-283)
*Hilbert's Problems
*Goedel and the Limits of Logic
Week 14
4/23-4/27
*Monday: Peer Review Paper 3
*A brief look at today's mathematics
B&G: Sketch 23 (p 225-230)
*List of Unsolved Problems in Math
Week 15
4/30-4/4
Final Exam Week