Syllabus

Course Description: This undergraduate course is designed to enhance students' ability to write effectively about mathematics and topics with a mathematical flavor. The course is divided into three main aspects:

(I) Writing Mathematics:  In this segment, students will learn the art of writing mathematics with clarity, precision, and coherence. They will practice communicating mathematical ideas, definitions, theorems, and proofs in a manner accessible to a broad audience. Emphasis will be placed on using appropriate mathematical notation and language.

(II) Writing about Mathematics: This part of the course focuses on developing students' skills in writing about mathematical concepts for a general audience. Students will explore various mathematical topics and learn how to present them in an engaging and informative manner. They will analyze and review existing mathematical articles to understand different writing styles and techniques.

(III) Fundamental Issues of Mathematics: In this segment, students will delve into fundamental philosophical and conceptual questions in mathematics. Discussions may include the nature of mathematical objects, the role of axioms, the philosophy of mathematical proof, and the relationship between mathematics and reality.

Assignments and Projects: Throughout the semester, students will undertake various writing assignments and projects:

• Homework Assignments: Students will complete regular homework assignments to practice writing mathematics with clarity and precision. These will be often done within groups and during class. 

• Topic Exploration Paragraphs: Students will choose specific mathematical topics or concepts and write informative paragraphs that explain the significance and applications of the chosen topics.

• Article Drafting: As the semester progresses, students will draft and re-draft articles about mathematics and mathematical concepts. They will receive feedback and guidance to improve their writing.

• Final Article: The ultimate goal of the course is for each student to produce an article of high quality and depth, akin to those found in mathematics magazines. The article will focus on a mathematical concept and its application in real-world scenarios or cultural phenomena.

Integration of AI (Chat-GPT): The course will acknowledge the role of AI, particularly Chat-GPT, in assisting students with their writing endeavors. Students will learn how to leverage AI to enhance their writing and understanding of mathematics. However, students will be reminded to exercise critical thinking and not rely solely on AI-generated content for their final pieces.

Publication Opportunity: Students will have the opportunity to contribute their final articles to the "Mathematics - Where are you?" magazine for the Spring 2022 edition. These articles should highlight a mathematical concept in the context of a relevant application or real-world phenomenon.

By the end of the semester, students will have honed their mathematical writing skills, gained insights into fundamental mathematical issues, and produced articles worthy of publication in a mathematics magazine. This course aims to foster a deeper appreciation for the beauty and applicability of mathematics and its significance in various domains of life.