List of `bookwork' topics:
==== == ========== =======

Topics marked "*" are relatively unsuitable for concrete examples,
so are more likely to be major parts of questions as "bookwork".
Other topics are more likely to be a few introductory marks.  Some
are marked "$", meaning could be *either* the topic for a largely
bookwork question or a few marks as part of an application.  Almost
any part of the module *could* be the set topic for an essay Q;
but if so there would nowadays be a non-essay alternative.

Classification of games*
    General properties;  relevance of number of players, result, length,
    etc;  buzzwords such as "disjunctive sum", "impartial", etc.

Game trees
    The basic tree-solving algorithm*, and the problem of combinatorial
    explosion;  static vs dynamic evaluation.  Computer implementation,
    alpha-beta, and associated theory$.

Games and numbers
    Conway's ideas/notation/motivation/results*.  Adding games, etc.,
    comparisons, meaning of "greater", "equal", "fuzzy", etc.  Ideas
    of domination and reversibility$, and canonical [simplest] form.
    Games composed of numbers;  simplicity theorem;  temperature.

Nim$
    Theory, practice, relatives/disguises.  Sprague-Grundy$, mex, Grundy
    numbers, octal games$, relations between them.

Impartial Hackenbush
    Tree principle, fusion principle [but not proof of this].

Boxes
    Double-cross idea, relation between impartial and partizan versions$,
    parity result.  Theory of captures, suicide positions, Sprague-Grundy
    theory.  Equivalences, vines.

Solitaire
    Basic packs, Reiss classification, resource counts;  "Desert Patrol".

Matrix games
    Formulation, lower/upper values, concept of pure/mixed strategies,
    how to solve, inc graphical method.  Indifference.

Evolutionary games
    Formulation.  ESS.  Indifference.


Games you are assumed to know:
===== === === ======= == =====

"Proper" games:
    Domineering;  Kayles;  Col;  Snort;  Hackenbush;  Nim;  variants of
    Nim/Kayles using pebbles, piles of coins/matches, sliding coins,
    skittles, dots, ...;  Boxes;  Solitaire.

Abstractions:
    0, 1, -1, 2, 1/2, ..., numbers in general;  *, +-1, tiny-2, up, down;
    *2, *3, ...;  1*, ...;  sums/negations of games;  octal games and their
    cousins;  matrix games;  evolutionary games.

Chess, Go, Othello/Reversi, Bridge, Poker:
    Expectation is that you have heard of these, and know something about
    what they "look like", eg complexity, information, ..., but not how
    to play them [in any detail].  Possibly other well-known games that
    I've forgotten to mention, such as Noughts-and-Crosses.

Chomp, Sylver Coinage, ...:
    If games like these arise, they are described in the question in the
    detail needed to produce the answer.