The List of Carom PowerPoints
Difficulty: * = easy for A Level, ***** = hard for A Level
Carom 1: Geodesics *
Topic area: Geometry
Carom 2: Inequalities **
Topic area: Algebra
Carom 3: Coincidences *
Topic area: Probability
Carom 4: The Least Road Problem **
Topic area: Optimisation
Carom 5: Kites and Darts ****
Topic area: Geometry
Carom 6: Perfect and Mersenne Numbers **
Topic area: Number Theory
Carom 7: The Overlapping Circles *
Topic area: Geometry
Carom 8: Repunits ***
Topic area: Number Theory
Carom 9: Siders ***
Topic area: Geometry
Carom 10: Buffon's Needle **
Topic area: Probability
Carom 11: Curves of Constant Width ***
Topic area: Geometry
Carom 12: Multiple-free Sets **
Topic area: Number Theory
Carom 13: Descent **
Topic area: Number Theory
Carom 14: Wallpaper Patterns ****
Topic area: Geometry
Carom 15: Adding again and again... ****
Topic area: Ergodic Maths
Carom 16: The Distribution of Prime Numbers ****
Topic area: Number Theory
Carom 17: Infinity ****
Topic area: Set Theory and Logic
Carom 18: Hyperbolic Geometry *****
Topic area: Geometry
Carom 19: The Propositional Calculus *****
Topic area: Logic
Carom 20: The Mandelbrot Set ****
Topic area: Complex Numbers
Carom 21: The Game of Life ***
Topic area: Dynamical Systems
Carom 22: Mapping a set to itself **
Topic area: Sequences
Carom 23: Pearl Tilings *
Topic area: Geometry
Carom 24: Tangles ***
Topic area: Algebra
Carom 25: What are you implying? ***
Topic area: Logic
Carom 26: Conics **
Topic area: Geometry
Carom 27: The Four Colour Problem **
Topic area: Topology
Carom 28: V, S and E *
Topic area: Geometry
Carom 29: The Logistic Map and Chaos ****
Topic area: Dynamical Systems
Carom 30: Inversion *****
Topic area: Geometry
Carom 31: Quadratic Reciprocity ****
Topic area: Number Theory
Carom 32: H-Triples ***
Topic area: Number Theory
Carom 33: Triangle Centres **
Topic area: Geometry
Carom 34: The ABC Conjecture ****
Topic area: Number Theory
Carom 35: Elliptic Curves *****
Topic area: Geometry
Carom 36: Triominoes ***
Topic area: Complex Numbers
Carom 37: Zeroes of a Recurrence Relation ****
Topic area: Sequences
Carom 38: Cyclotomic Polynomials ****
Topic area: Complex Numbers
Carom 39: Could p be 3? ***
Topic area: Geometry
Carom 40: The Cross-ratio *****
Topic area: Geometry/Complex Numbers
