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Collecting and reporting on established SLAs and keeping the users involved result in invaluable information for making decisions about the future of your company s application delivery initiative. Even after a successful rollout, there may be factions within the company that remain unconvinced as to the value of an application delivery

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Games are interdisciplinary on many levels. To create games requires collaboration among diverse existing fields, from audio and visual design to programming and project management. At the same time, digital gaming has given rise to new kinds of hybrid disciplines, such as game design and interactive storytelling. And considered as cultural media, a full critical understanding of games requires that we appreciate them in all of their social, psychological, historical and aesthetic complexity. For this reason, we strongly advocate a cross-disciplinary approach to game-related education. For us this means an educational approach that respects what established fields bring to games but that also pays attention to new realms of study that games make possible. The set of Core Topics we propose below reflects this approach. Some of the Core Topics are derived directly from existing disciplines like Computer Science. Others combine disciplines or synthesize new ones. We acknowledge that there are other ways to organize these overlapping fields of knowledge. However, we feel that the set of Core Topics listed below intuitively addresses the unique practical and theoretical concerns of gaming. As a whole, the Core Topics provide a birds-eye view of the immense landscape of games-related education. These Core Topics are Critical Game Studies Games and Society Game Design Game Programming Visual Design

17. For each of the following pairs of functions, calculate f g and g f . g (x) = (x + 1)2 (a) f (x) = x 2 2x (b) f (x) = x 1 g (x) = x 2 + 2 2 (c) f (x) = sin(x x ) g (x) = cos(x 2 + x) g (x) = ln(x + 3) (d) f (x) = e x 2 2 (e) f (x) = sin(x x) g (x) = ln(x 2 + 2x) 2 g (x) = e 2x (f) f (x) = e x (g) f (x) = x(x 1)(x + 3) g (x) = (2x 1)(x + 2) 18. Consider each of the following as functions from R to R and say whether the function is invertible. If it is, find the inverse with an explicit formula. (a) f (x) = x 3 + 1 (b) g (x) = x 2 + x (c) h(x) = sgn x |x|, where sgn x is +1 if x is positive, 1 if x is negative, 0 if x is 0. (d) f (x) = x 3 8 (e) g (x) = e 3x (f) h(x) = cos x (g) f (x) = cot x (h) g (x) = sgn x x 2 , where sgn x is +1 if x is positive, 1 if x is negative, 0 if x is 0. 19. For each of the functions in Exercise 18, graph both the function and its inverse in the same set of axes. 20. Determine whether each of the following functions, on the given domain S, is invertible. If it is, then find the inverse explicitly. S = [1, 7] (a) f (x) = x 3 , (b) g (x) = ln x, S = [5, 10] (c) h(x) = cos x, S = [0, /2] (d) f (x) = sin x, S = [0, ] (e) g (x) = cot x, S = [ /2, 0] 2 S = [ 1, 1] (f) h(x) = x , (g) f (x) = x 2 + x, S = [2, 5]

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