Study the mathematics behind computer science through a structured learning path and practice problems. Covers logic, proofs, sets, functions, counting, and number theory, connecting these foundations to algorithm correctness and computational thinking.
Master discrete mathematics, logic, formal proofs, and computational thinking. Build the mathematical foundation for all computer science.
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See how to installReview the instructions the agent will receive before you install.
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:
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