MAST 332
Techniques in Symbolic Computation
Winter 2026
Topics
- MAPLE basics
- Divisibility, gcd, lcm and Euclidean algorithms
- Bézout identities and Diophantine equations
- Prime factorization and congruences
- Groups, rings and fields
- Units and zero divisors
- Matrices, error-correcting codes and Hill cryptosystems
- Fermat and Euler theorems
- RSA cryptography
- Chinese remainder theorem
- Polynomial rings, division and factorization
- Polynomial congruences and quotient rings
- Primitive roots and finite-field calculations
Readings
- Listed textbook (requirement not stated): L. N. Childs. A Concrete Introduction to Higher Algebra, 2nd or 3rd edition. https://link.springer.com/book/10.1007/978-0-387-74725-5
Winter 2025 · MAST 332
Readings
- L. N. Childs, A Concrete Introduction to Higher Algebra, 2nd or 3rd edition.
Winter 2024 · MAST 332
Readings
- A Concrete Introduction to Higher Algebra, by L. N. Childs, 3rd Edition.
Winter 2023 · MAST 332
Readings
- A Concrete Introduction to Higher Algebra, by L. N. Childs, 3rd Edition.
Winter 2022 · MAST 332
Readings
- A Concrete Introduction to Higher Algebra, by L. N. Childs, 3rd Edition.
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Winter 2026
- Historical course outline ↗Winter 2025
- Historical course outline ↗Winter 2024
- Historical course outline ↗Winter 2023
- Historical course outline ↗Winter 2022
- Winter 2026 outline. Course header explicitly lists MAST 332, COMP 367. MAPLE software is mandatory; that is a software requirement, not a textbook requirement.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.