Master discrete mathematics, logic, formal proofs, and computational thinking. Build the mathematical foundation for all computer science.
skill_config:
version: "1.0.0"
category: theoretical
prerequisites: []
estimated_time: "6-8 weeks"
difficulty: intermediate
parameter_validation:
topic:
type: string
enum: [logic, proofs, sets, functions, combinatorics, number-theory, graphs]
required: true
depth:
type: string
enum: [intro, standard, advanced]
default: standard
retry_config:
max_attempts: 3
backoff_strategy: exponential
initial_delay_ms: 500
observability:
log_level: INFO
metrics: [topic_usage, proof_verification_rate, exercise_completion]
Computer science is built on mathematics. Master these fundamentals:
Discrete Mathematics
Computational Thinking
Formal Logic
Week 1: Logic Basics
Week 2: Proof Techniques
Week 3: Set Theory
Week 4: Functions
Week 5: Combinatorics
Week 6: Number Theory
| Issue | Root Cause | Resolution |
|---|---|---|
| Proof stuck | Missing case or wrong direction | Check base case, verify induction step |
| Set operation confusion | ∪ vs ∩ mix-up | Draw Venn diagram |
| Counting error | Overcounting duplicates | Distinguish P(n,r) vs C(n,r) |
| Modular arithmetic error | Forgot wraparound | Work with remainders explicitly |
These foundations enable: