Text: First Steps into Advanced Mathematics, by B.A. Sethuraman, CSUN Bookstore.

Syllabus: This book is under development, the first six chapters will be available to you at the beginning of the semester. Over the course of the semester, material for up to six more chapters will be made available to you. We will cover the first six chapters and all other chapters that will be given to you later in the semester. This course is an introduction to the language and elementary methods of advanced mathematics. It is designed to steer you from a computational approach to mathematics to an ideas-based approach, with a focus on detailed reading, critical thinking, and proof writing. We will cover statements, sets and functions, elementary counting techniques, equivalence relations, elementary number theory, and elementary real analysis. There will be class based work, and frequent quizzes. The attitudes we hope to convey in this course can only be learned by doing.

Homework: I plan to give one problem set approximately once a week. I expect much learning to happen during the solving process.

Quizzes: I plan to give short quizzes through the semester, to help reinforce material from both the homework and class work. The quizzes will be announced one class in advance.

Exams: There will be one midterm exam, whose date will be announced at least a week ahead of time. The final exam is on Wednesday May 18th, 10:15 AM - 12:15PM, in CR 5123.