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ProofSpace
  • Ch1: Preliminaries
  • Ch2: Proof Techniques
  • Ch3: Sets
  • Ch4: Functions
    • Sec 1: Basic Concepts
    • Sec 2: Bijections
    • Sec 3: Composition and Inverses
    • Sec 4: Cardinality
  • Ch5: Relations
  • Ch6: Extra Topics

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  3. Ch4Sec1

ProofSpace

  • Ch1: Preliminaries
  • Ch2: Proof Techniques
  • Ch3: Sets
  • Ch4: Functions
    • Sec 1: Basic Concepts
    • Sec 2: Bijections
    • Sec 3: Composition and Inverses
    • Sec 4: Cardinality
  • Ch5: Relations
  • Ch6: Extra Topics

Ch4Sec1

Functions - Basic Concepts and Acting On Sets


Section 4.1 Materials

Section 4.1 Problem Set

Section 4.1 Basic Comprehension Quiz

Summary of Functions Acting on Sets


Section 4.1 Screencasts

Click the three bars symbol in the top-right corner of the video to see the entire collection of videos for this section.

Section 4.1 Supplemental Videos

Here is a selection of supplemental videos related to topics in this section.

  • Functions: The big concepts (Screencast 6.1.1),
  • Functions: Terminology (Screencast 6.1.2),
  • Function example: Names to initials (Screencast 6.1.3),
  • Function example: Counting primes (Screencast 6.1.4),
  • Function example: Congruence functions (Screencast 6.1.5),
  • Function example: Derivatives (Screencast 6.1.6),
  • Function example: Averages (Screencast 6.1.7),
  • Non-examples of functions (Screencast 6.1.8),
  • Equality of functions (Screencast 6.2.1),
  • Functions involving congruences (Screencast 6.2.2)

These videos were created by Robert Talbert from the Mathematics Department at Grand Valley State University. Click here for more details.

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