Week

Topic

Readings
to be read before Monday's class 
Homework Assignments
due Wednesday after assigned 
Important Dates

Week 1
1/161/19 
*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(p6772), Sketch 3(p 81  84) 
* Math Autobiography * How to recognize plagiarism: Tutorial and Test (complete test, hand in the signed, completed certificate 

Week 2
1/221/26 
*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
1/292/2 
*Early Greek mathematics
*Euclid's Elements: Geometry 
D: Chapter 1 (p 111) D: Chapter 2 (p 2753)  may skip proof of Prop I:15, 16, 26, 27, 32, 41 
Group Work 2: Due 2/2/18 in class  
Week 4
2/52/9 
*NonEuclidean Geometries
*Euclid's Elements: Number Theory 
B&G: Sketch 19 (p 195200) D: Chapter 2 (p 5360, you may skip the proof of Theorem AAA) D: Chapter 3 (p 6875) 
Group Work 3: Due 2/9/18 in class  
Week 5
2/122/16 
*Archimedes and the circular area
*Greek mathematics after Archimedes 
D: Chapter 4 (p 84112, you may skip the proofs) D: Chapter 5 (p 113132, 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
2/192/23 
*The history of π

B&G: Sketch 7 (p 107110) 
Group Work 5: Due 2/23/18 in class Paper 2 Proposal: Due in class 2/23/18 

Week 7
2/263/2 
*Arabic mathematics
*The cossic art 
MTM: An overview of Arabic mathematics B&G: Sketch 8 (p 115120) 
Group Work 6: Due 3/01/18 in class 

Week 8
3/53/9 
*Renaissance: solutions to
cubic and quartic equations *The quintic equation and group theory: Abel and Galois 
B&G: Sketch 11 (p 135138) D: Chapter 6 (p 133154, 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
3/123/16 

Week 9
3/193/23 
*Descartes, Fermat, and Newton

B&G: Sketch 13 (p 149154) D: Chapter 7 (p 155174, 177183) 

Week 10
3/263/30 
*Calculus: Newton, Leibniz, the Bernoullis

B&G: Sketch 30 (p 279284) D: Chapter 8 (p 184206) 
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
4/24/6 
*Euler

D: Chapter 9 (p 207222) D: Chapter 10 (p 223235, You may skip the proofs) 

Week 12
4/94/13 
*From Gauss to Cantor
*Overview of 19th century mathematics 
B&G: Sketch 6 (p 103106) D: Chapter 11 (p 245266) MTM: A biography of Gauss 
FIRST DRAFT PAPER 3 Due Friday 4/13 

Week 13
4/164/20 
*Cantor, Hilbert, Russell, Goedel
*The foundation of mathematics 
B&G: Sketch 25 (p 239244) B&G: Sketch 29 (p 271276) D: Chapter 12 (p 267283) *Hilbert's Problems *Goedel and the Limits of Logic 

Week 14
4/234/27 
*Monday: Peer Review Paper 3
*A brief look at today's mathematics 
B&G: Sketch 23 (p 225230) *List of Unsolved Problems in Math 

Week 15
4/304/4 
Final Exam Week
