# Andrei Caldararu

## Contact Information

605 Van Vleck Hall

Telephone: 262-2880

E-mail: andreic@math.wisc.edu

Office Hours: Tuesdays and Thursdays 2:30-3:30; or by appointment.

## Text

"Mathematics and its History" (Springer, 3rd edition) by John Stillwell, ISBN 978-1441960528

## Course objectives

We will give a broad overview of the history and development of modern mathematics from the Greek period to the present. The course will interleave historical developments with actual mathematical results (theorems, proofs, etc.), so a certain level of mathematical maturity will be required (at approximately the level of a 400+ level course in math).

## Section

• Lecture 1: TR, 9:30-10:45, B302 Birge Hall.

HW will be worth 40%, and the final project 60% of your grade.

If you score 90% or higher, you will get an A; if you score 80% or higher, you will at least get a B; if you score 70% or higher, you will at least get a C; if you score 60% or higher, you will at least get a D.

## Homework Assignments

Homework will be set every other Thursday and due the following Thursday. You are encouraged to discuss the exercises with your classmates but the work you hand in should be your own.

For the final projects you will work in teams of 3. Early on in the semester I will divide you into teams.

• 1st Homework, due Feb. 8: Problems 1.2.3, 1.2.4, 1.3.1, 1.4.2, 2.2.2, 2.3.3 from the book.
• 2nd Homework, due Mar. 1: Problems 3.2.2, 3.2.5, 3.4.3, 4.2.2-4.2.4 from the book. Moreover, use the extended Euclidean algorithm presented in class to find an inverse of 9 modulo 26, that is, a number x such that 9x = 1 mod 26.
• 3rd Homework, due Mar. 15: Problems 6.5.2, 6.7.1, 7.2.1, 7.2.2, 7.4.2 from the book.
• 4th Homework, due Mar. 22: Problems 8.3.1-8.3.3, 8.4.1, 8.5.2, 8.6.2, 8.6.3, 8.6.4
• 5th Homework, due Apr. 19: Problems 9.2.3, 9.4.1, 9.4.2, 10.1.4, 10.4.1, 10.4.2
• 6th Homework, due May 3: Problems 10.7.1, 11.1.1, 11.2.1