Course Identification

First year courses of the RW program in mathematics

The course is built for the second year RW mathematics students working on their final project.

As a central activity of the course, the students will be exposed to classic and modern cornerstone books in mathematics listed in the reading list, learn and present in the classroom topics from these books.

The grades for this part of the course will be given by the course instructor on the basis of the grade breakdown above.

In the framework of the course, the students will also receive support in their work on the final project. Each student will present his or her final project at different stages of work, from preliminary ideas, through intermediate stages, the work outline, etc. The students will receive recommendations on mathematical writing.

The grade for this part of the course is included in the grade for the final project submitted to the supervisor.

Upon successful completion of this course students should be able to:

1. Write their project in a proficient and coherent form.
2. Present a chosen book or books to the peers in a form that would provide an adequate and efficient exposure to the book in accordance with the objectives of the course.

Mathematical writing:

1. Some Notes on Writing Mathematics https://sites.math.washington.edu/~lee/Courses/583-2005/writing.pdf
2. Su F. E. Guidelines for Good Mathematical Writing  https://www.math.hmc.edu/~su/math131/good-math-writing.pdf . 

Books (more books mat be suggested by the lecturer during the course):

1. Alan Sultan, Alice F. Artzt. The mathematics that every secondary school teacher need to know. Routledge. (2017).s
2. Davis P. J., Hersh R. Mathematical Experience
3. Hardy G. H., A Mathematician's Apology
4. Courant R. & Robbins H., What is Mathematics?
5. Klein F. Elementary Mathematics form a Higher Standpoint (vols. I-III, chapters subject to the lecturer's recommendation)
6. Polya G. Mathematics and Plausible Reasoning
7. Polya G. Mathematical Discovery
8. Artstein Z. Mathematics and the Real World
9. Manin Yu. Mathematics and Physics
10. Bertsch McGrayne Sh. The Theory that Would Not Die
11. Singh S. Fermat's Last Theorem
12. Singh S. The Code Book
13. Hadamard J. The Psychology of Invention in the Mathematical Field
14. Borovik A. V.  Shadows of the Truth: Metamathematics of Elementary Mathematics
15. Gamow G. One two three ... infinity. Facts & Speculations of Science