MATH 145
Algebra (Advanced Level)
Undated · Algebra
Topics
- Mathematical Statements
- Mathematical Proof
- Rings Fields and Orders
- Recursion and Induction
- Factorization of Integers
- Congruences and Modular Arithmetic
- Cryptography
- Complex Numbers
- Cardinality
- Factorization in Rings
Readings
- Chapter 1. Mathematical Statements — https://www.math.uwaterloo.ca/~snew/MATH145/chap1.pdf
- Chapter 2. Mathematical Proof — https://www.math.uwaterloo.ca/~snew/MATH145/chap2.pdf
- Chapter 3. Rings Fields and Orders — https://www.math.uwaterloo.ca/~snew/MATH145/chap3.pdf
- Chapter 4. Recursion and Induction — https://www.math.uwaterloo.ca/~snew/MATH145/chap4.pdf
- Chapter 5. Factorization of Integers — https://www.math.uwaterloo.ca/~snew/MATH145/chap5.pdf
- Chapter 6. Congruences and Modular Arithmetic — https://www.math.uwaterloo.ca/~snew/MATH145/chap6.pdf
- Chapter 7. Cryptography — https://www.math.uwaterloo.ca/~snew/MATH145/chap7.pdf
- Chapter 8. Complex Numbers — https://www.math.uwaterloo.ca/~snew/MATH145/chap8.pdf
- Chapter 9. Cardinality — https://www.math.uwaterloo.ca/~snew/MATH145/chap9.pdf
- Chapter 10. Factorization in Rings — https://www.math.uwaterloo.ca/~snew/MATH145/chap10.pdf
- Appendix 1. The Construction of the Real Numbers — https://www.math.uwaterloo.ca/~snew/MATH145/append1.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.