Chatty reference · maths1 week 1

Week 1 — Set Theory

Core concepts

• Number systems
  • Natural numbers
  • Integers
  • Rational numbers
  • Real numbers
• Sets
• Set notation
• Set operations
  • Union
  • Intersection
  • Difference
  • Complement
• Relations
• Types of relations
• Functions
• Types of functions

Pattern families

1. Identify number-system membership.
2. Perform set operations.
3. Determine whether a relation has a given property.
4. Determine whether a mapping is a function.
5. Identify function type.

1. Multiple set operations.
2. Translate word descriptions → sets.
3. Determine properties of a relation.
4. Determine domain/range from a representation.
5. Function classification from mappings/graphs.

1. Combine set reasoning + relation reasoning.
2. Infer function properties indirectly.
3. Work backwards from constraints.
4. Questions where the representation itself is the trap.