Theoretical Minimums (Colloquiums)
Overview
“Theoretical Minimums” (TMs) are comprehensive exams testing deep understanding of theory and proof techniques. Called “minimums” because passing them is a minimum requirement for course completion.
- 2 exams × 10 points = 20 total
- 120 minutes each
- Closed book
- Must pass both (≥50%) to receive course credit
Schedule
| Exam | Coverage | Week | Passing |
|---|---|---|---|
| TM1 | Set Theory + Relations | 7 | ≥5.0/10 |
| TM2 | Boolean Algebra + Logic | 15 | ≥5.0/10 |
Purpose
Ensure you can:
- State definitions and theorems precisely
- Construct rigorous proofs
- Explain concepts clearly
- Make connections between topics
- Demonstrate mathematical maturity
You cannot pass this course without theoretical understanding.
Key Pages
Difference from Tests
| Aspect | Tests | TMs |
|---|---|---|
| Focus | Computation | Theory, proofs |
| Resources | Open book | Closed book |
| Duration | 90 min | 120 min |
| Partial credit | Generous | Limited |
| Passing | No minimum | Must score ≥50% |
| Coverage | 1 module | 2+ modules |
Retake Policy
If you fail a TM (< 50%):
- One retake allowed
- Scheduled 1-2 weeks later
- May be more difficult or oral format
- Retake score is final