Even and odd functions

Videos

• 12:54 (watch on YouTube, opens in a new tab)

  Odd and Even Functions: A Little Symmetry Goes a Long Way! — Part 1 (watch on YouTube, opens in a new tab)

  5 October 2026 · Duration 12:54

  A little symmetry can save a lot of algebra. What makes a function odd or even and how that shows in its graph; sums, products and compositions of odd and even functions; the connections with differentiation and integration; and spotting symmetry when a graph has been shifted. Groundwork for Part 2's harder problems.

  • Odd and even functions
  • Symmetry
  • Graphs
  • Integration

  Watch on YouTube →: Odd and Even Functions: A Little Symmetry Goes a Long Way! — Part 1 (opens in a new tab)

• 12:08 (watch on YouTube, opens in a new tab)

  Odd and Even Functions: A Little Symmetry Goes a Long Way! — Part 2 (watch on YouTube, opens in a new tab)

  5 October 2026 · Duration 12:08

  Part 2 puts the ideas from Part 1 into practice with three challenging TMUA-style questions from JZMaths: spotting hidden symmetry in a polynomial to simplify a definite integral; using the Fundamental Theorem of Calculus and graph symmetry to count solutions without finding them; and completing a cube to reveal cancelling pairs in a sum of 101 terms.

  • Odd and even functions
  • Symmetry
  • Integration
  • Sequences and series

  Watch on YouTube →: Odd and Even Functions: A Little Symmetry Goes a Long Way! — Part 2 (opens in a new tab)