# Fall 2024

### Time and Place

• Lectures: MWF 11:00pm–11:50pm in Carver 128

### Texts and Resources

• Main text: Algebra — Notes from the Underground by Paolo Aluffi

• Homework: 40%
• Exam 1: 20% (date TBD)
• Exam 2: 20% (date TBD)
• Final Exam: 20%

### Homework

Homework sets will be posted here. They are due most Wednesdays.

1. (Due Sep 4) Homework 1
2. (Due Sep 11) 1.4, 1.5, 1.8, 1.9, 1.10, 1.11, 1.12, 1.15, 2.1, 2.6
3. (Due Sep 18) 1.25, 1.26, 2.2, 2.5, 2.8, 2.9, 2.12, 2.13, 2.15, 2.16

### Lecture Summary

We will cover Appendix A.5–A.8, and Chapters 1–5, 7, 11, and parts of Chapter 12. A short summary of each lecture will be posted here.

1. Set operations (A.5), functions (A.6, A.7)
2. Compositions, identity (A.6, A.7); relations, equivalence classes (A.8)
3. §1.1 Well-Ordering Principle and Induction
4. (Labor Day)
5. §1.2 Division with Remainder
6. §1.3 Greatest Common Divisors
7. §1.4 The Fundamental Theorem of Arithmetic
8. §2.1 Equivalence Relations and Quotients, §2.2 Congruence mod $$n$$
9. §2.3 Algebra in $$\mathbb{Z}/n\mathbb{Z}$$, §2.4 Properties of + and $$\cdot$$ on $$\mathbb{Z}/n\mathbb{Z}$$

### Statement on Free Expression

Iowa State University supports and upholds the First Amendment protection of freedom of speech and the principle of academic freedom in order to foster a learning environment where open inquiry and the vigorous debate of a diversity of ideas are encouraged. Students will not be penalized for the content or viewpoints of their speech as long as student expression in a class context is germane to the subject matter of the class and conveyed in an appropriate manner.